TSTP Solution File: SWW258+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 00:13:21 EDT 2023
% Result : Theorem 26.60s 26.85s
% Output : CNFRefutation 27.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Aug 27 18:06:19 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 26.60/26.77 %-------------------------------------------
% 26.60/26.77 % File :CSE---1.6
% 26.60/26.77 % Problem :theBenchmark
% 26.60/26.77 % Transform :cnf
% 26.60/26.77 % Format :tptp:raw
% 26.60/26.77 % Command :java -jar mcs_scs.jar %d %s
% 26.60/26.77
% 26.60/26.77 % Result :Theorem 25.380000s
% 26.60/26.77 % Output :CNFRefutation 25.380000s
% 26.60/26.77 %-------------------------------------------
% 26.60/26.77 %------------------------------------------------------------------------------
% 26.60/26.77 % File : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% 26.60/26.77 % Domain : Software Verification
% 26.60/26.77 % Problem : Fundamental Theorem of Algebra 438432, 1000 axioms selected
% 26.60/26.77 % Version : Especial.
% 26.60/26.77 % English :
% 26.60/26.78
% 26.60/26.78 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 26.60/26.78 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 26.60/26.78 % Source : [Bla11]
% 26.60/26.78 % Names : fta_438432.1000.p [Bla11]
% 26.60/26.78
% 26.60/26.78 % Status : Theorem
% 26.60/26.78 % Rating : 0.56 v8.1.0, 0.50 v7.5.0, 0.53 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.39 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.46 v6.2.0, 0.48 v6.1.0, 0.63 v6.0.0, 0.61 v5.5.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.81 v5.2.0
% 26.60/26.78 % Syntax : Number of formulae : 1272 ( 365 unt; 0 def)
% 26.60/26.78 % Number of atoms : 3035 ( 784 equ)
% 26.60/26.78 % Maximal formula atoms : 8 ( 2 avg)
% 26.60/26.78 % Number of connectives : 1984 ( 221 ~; 64 |; 119 &)
% 26.60/26.78 % ( 246 <=>;1334 =>; 0 <=; 0 <~>)
% 26.60/26.78 % Maximal formula depth : 13 ( 5 avg)
% 26.60/26.78 % Maximal term depth : 9 ( 2 avg)
% 26.60/26.78 % Number of predicates : 78 ( 77 usr; 0 prp; 1-3 aty)
% 26.60/26.78 % Number of functors : 39 ( 39 usr; 15 con; 0-3 aty)
% 26.60/26.78 % Number of variables : 2764 (2742 !; 22 ?)
% 26.60/26.78 % SPC : FOF_THM_RFO_SEQ
% 26.60/26.78
% 26.60/26.78 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 26.60/26.78 % 2011-03-01 11:57:37
% 26.60/26.78 %------------------------------------------------------------------------------
% 26.60/26.78 %----Relevant facts (995)
% 26.60/26.78 fof(fact_ext,axiom,
% 26.60/26.78 ! [V_g_2,V_f_2] :
% 26.60/26.78 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 26.60/26.78 => V_f_2 = V_g_2 ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_m_I1_J,axiom,
% 26.60/26.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_w0,axiom,
% 26.60/26.78 v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 26.60/26.78
% 26.60/26.78 fof(fact__0960_A_060_061_Acmod_Aw_096,axiom,
% 26.60/26.78 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_kas_I2_J,axiom,
% 26.60/26.78 v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__Suc__less,axiom,
% 26.60/26.78 ! [V_n,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.78 => 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)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_real__mult__inverse__cancel2,axiom,
% 26.60/26.78 ! [V_u,V_y,V_x1,V_x] :
% 26.60/26.78 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 26.60/26.78 => ( 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))
% 26.60/26.78 => 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))) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_real__mult__inverse__cancel,axiom,
% 26.60/26.78 ! [V_u,V_y,V_x1,V_x] :
% 26.60/26.78 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 26.60/26.78 => ( 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))
% 26.60/26.78 => 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)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_nonzero__norm__inverse,axiom,
% 26.60/26.78 ! [V_a,T_a] :
% 26.60/26.78 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 26.60/26.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.78 => 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)) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_norm__mult__less,axiom,
% 26.60/26.78 ! [V_s,V_y,V_r,V_x,T_a] :
% 26.60/26.78 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 26.60/26.78 => 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)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_zero__less__norm__iff,axiom,
% 26.60/26.78 ! [V_x_2,T_a] :
% 26.60/26.78 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.78 => ( 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))
% 26.60/26.78 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_right__inverse,axiom,
% 26.60/26.78 ! [V_a,T_a] :
% 26.60/26.78 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.78 => 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) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_field__inverse,axiom,
% 26.60/26.78 ! [V_a,T_a] :
% 26.60/26.78 ( class_Fields_Ofield(T_a)
% 26.60/26.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.78 => 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) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_left__inverse,axiom,
% 26.60/26.78 ! [V_a,T_a] :
% 26.60/26.78 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.78 => 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) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_one__less__inverse__iff,axiom,
% 26.60/26.78 ! [V_x_2,T_a] :
% 26.60/26.78 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 26.60/26.78 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 26.60/26.78 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_one__less__inverse,axiom,
% 26.60/26.78 ! [V_a,T_a] :
% 26.60/26.78 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.78 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_division__ring__inverse__add,axiom,
% 26.60/26.78 ! [V_b,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.78 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.78 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.78 => 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)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_kas_I1_J,axiom,
% 26.60/26.78 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_w,axiom,
% 26.60/26.78 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) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_complex__mod__triangle__sub,axiom,
% 26.60/26.78 ! [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))) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_nat__zero__less__power__iff,axiom,
% 26.60/26.78 ! [V_n_2,V_x_2] :
% 26.60/26.78 ( 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))
% 26.60/26.78 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)
% 26.60/26.78 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_nat__power__less__imp__less,axiom,
% 26.60/26.78 ! [V_n,V_m,V_i] :
% 26.60/26.78 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 26.60/26.78 => ( 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))
% 26.60/26.78 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__mult,axiom,
% 26.60/26.78 ! [V_n,V_m,V_a,T_a] :
% 26.60/26.78 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.78 => 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) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__eq__imp__eq__base,axiom,
% 26.60/26.78 ! [V_b,V_n,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.78 => ( 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)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.78 => V_a = V_b ) ) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__increasing,axiom,
% 26.60/26.78 ! [V_a,V_N,V_n,T_a] :
% 26.60/26.78 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.78 => 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)) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__decreasing,axiom,
% 26.60/26.78 ! [V_a,V_N,V_n,T_a] :
% 26.60/26.78 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.78 => 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)) ) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__le__imp__le__exp,axiom,
% 26.60/26.78 ! [V_n,V_m,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.78 => ( 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))
% 26.60/26.78 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_power__increasing__iff,axiom,
% 26.60/26.78 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 26.60/26.78 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 26.60/26.78 => ( 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))
% 26.60/26.78 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_split__mult__neg__le,axiom,
% 26.60/26.78 ! [V_b,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Oordered__cancel__semiring(T_a)
% 26.60/26.78 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.78 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 26.60/26.78 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.78 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 26.60/26.78 => 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)) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_split__mult__pos__le,axiom,
% 26.60/26.78 ! [V_b,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.78 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.78 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 26.60/26.78 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.78 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 26.60/26.78 => 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)) ) ) ).
% 26.60/26.78
% 26.60/26.78 fof(fact_mult__mono,axiom,
% 26.60/26.78 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.78 ( class_Rings_Oordered__semiring(T_a)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 26.60/26.78 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__mono_H,axiom,
% 26.60/26.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__left__mono__neg,axiom,
% 26.60/26.79 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__right__mono__neg,axiom,
% 26.60/26.79 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_comm__mult__left__mono,axiom,
% 26.60/26.79 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__comm__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__left__mono,axiom,
% 26.60/26.79 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__right__mono,axiom,
% 26.60/26.79 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__nonpos__nonpos,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__nonpos__nonneg,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__nonneg__nonpos2,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__nonneg__nonpos,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__nonneg__nonneg,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__le__0__iff,axiom,
% 26.60/26.79 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 26.60/26.79 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 26.60/26.79 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_zero__le__mult__iff,axiom,
% 26.60/26.79 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 26.60/26.79 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 26.60/26.79 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_zero__le__square,axiom,
% 26.60/26.79 ! [V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__ring(T_a)
% 26.60/26.79 => 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)) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_zero__le__one,axiom,
% 26.60/26.79 ! [T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_not__one__le__zero,axiom,
% 26.60/26.79 ! [T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_power__mono,axiom,
% 26.60/26.79 ! [V_n,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_zero__le__power,axiom,
% 26.60/26.79 ! [V_n,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => 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)) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_one__le__power,axiom,
% 26.60/26.79 ! [V_n,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.79 => 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)) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_inverse__nonpositive__iff__nonpositive,axiom,
% 26.60/26.79 ! [V_aa_2,T_a] :
% 26.60/26.79 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_inverse__nonnegative__iff__nonnegative,axiom,
% 26.60/26.79 ! [V_aa_2,T_a] :
% 26.60/26.79 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_norm__triangle__ineq,axiom,
% 26.60/26.79 ! [V_y,V_x,T_a] :
% 26.60/26.79 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.79 => 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))) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_norm__ge__zero,axiom,
% 26.60/26.79 ! [V_x,T_a] :
% 26.60/26.79 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.79 => 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)) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_power__0,axiom,
% 26.60/26.79 ! [V_a,T_a] :
% 26.60/26.79 ( class_Power_Opower(T_a)
% 26.60/26.79 => 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) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__left__le__imp__le,axiom,
% 26.60/26.79 ! [V_b,V_a,V_c,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__right__le__imp__le,axiom,
% 26.60/26.79 ! [V_b,V_c,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__less__imp__less__left,axiom,
% 26.60/26.79 ! [V_b,V_a,V_c,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__left__less__imp__less,axiom,
% 26.60/26.79 ! [V_b,V_a,V_c,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__less__imp__less__right,axiom,
% 26.60/26.79 ! [V_b,V_c,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__right__less__imp__less,axiom,
% 26.60/26.79 ! [V_b,V_c,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__le__less__imp__less,axiom,
% 26.60/26.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__less__le__imp__less,axiom,
% 26.60/26.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__strict__mono_H,axiom,
% 26.60/26.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__strict__mono,axiom,
% 26.60/26.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.79 => 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)) ) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__le__cancel__left__neg,axiom,
% 26.60/26.79 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => ( 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))
% 26.60/26.79 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__le__cancel__left__pos,axiom,
% 26.60/26.79 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 26.60/26.79 => ( 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))
% 26.60/26.79 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__left__le__one__le,axiom,
% 26.60/26.79 ! [V_y,V_x,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_mult__right__le__one__le,axiom,
% 26.60/26.79 ! [V_y,V_x,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_power__less__imp__less__base,axiom,
% 26.60/26.79 ! [V_b,V_n,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_power__strict__mono,axiom,
% 26.60/26.79 ! [V_n,V_b,V_a,T_a] :
% 26.60/26.79 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.79 => 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)) ) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_inverse__le__imp__le__neg,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_inverse__le__imp__le,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.79 => ( 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))
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_le__imp__inverse__le__neg,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.79 fof(fact_le__imp__inverse__le,axiom,
% 26.60/26.79 ! [V_b,V_a,T_a] :
% 26.60/26.79 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.79 => 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)) ) ) ) ).
% 26.60/26.79
% 26.60/26.80 fof(fact_inverse__le__1__iff,axiom,
% 26.60/26.80 ! [V_x_2,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_norm__le__zero__iff,axiom,
% 26.60/26.80 ! [V_x_2,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_norm__mult__ineq,axiom,
% 26.60/26.80 ! [V_y,V_x,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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))) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_one__less__power,axiom,
% 26.60/26.80 ! [V_n,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_norm__power__ineq,axiom,
% 26.60/26.80 ! [V_n,V_x,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_convex__bound__le,axiom,
% 26.60/26.80 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__1(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 26.60/26.80 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.80 => 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) ) ) ) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_one__le__inverse,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.80 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__less__1__iff,axiom,
% 26.60/26.80 ! [V_x_2,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 26.60/26.80 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_one__le__inverse__iff,axiom,
% 26.60/26.80 ! [V_x_2,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 26.60/26.80 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_linorder__neqE__linordered__idom,axiom,
% 26.60/26.80 ! [V_y,V_x,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.80 => ( V_x != V_y
% 26.60/26.80 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__eq__imp__eq,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.80 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 26.60/26.80 => V_a = V_b ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__eq__iff__eq,axiom,
% 26.60/26.80 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.80 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2)
% 26.60/26.80 <=> V_aa_2 = V_b_2 ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__inverse__eq,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.80 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_convex__bound__lt,axiom,
% 26.60/26.80 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 26.60/26.80 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.80 => 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) ) ) ) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_divisors__zero,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Ono__zero__divisors(T_a)
% 26.60/26.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_no__zero__divisors,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Ono__zero__divisors(T_a)
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__eq__0__iff,axiom,
% 26.60/26.80 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.80 ( class_Rings_Oring__no__zero__divisors(T_a)
% 26.60/26.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__right_Ozero,axiom,
% 26.60/26.80 ! [V_x,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult_Ozero__right,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__zero__right,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Omult__zero(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__left_Ozero,axiom,
% 26.60/26.80 ! [V_y,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult_Ozero__left,axiom,
% 26.60/26.80 ! [V_b,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__zero__left,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Omult__zero(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_zero__neq__one,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Rings_Ozero__neq__one(T_a)
% 26.60/26.80 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_one__neq__zero,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Rings_Ozero__neq__one(T_a)
% 26.60/26.80 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_combine__common__factor,axiom,
% 26.60/26.80 ! [V_c,V_b,V_e,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Osemiring(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__left_Oadd,axiom,
% 26.60/26.80 ! [V_ya,V_y,V_x,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult_Oadd__left,axiom,
% 26.60/26.80 ! [V_b,V_a_H,V_a,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_comm__semiring__class_Odistrib,axiom,
% 26.60/26.80 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Ocomm__semiring(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__right_Oadd,axiom,
% 26.60/26.80 ! [V_y,V_x,V_xa,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult_Oadd__right,axiom,
% 26.60/26.80 ! [V_b_H,V_b,V_a,T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_field__power__not__zero,axiom,
% 26.60/26.80 ! [V_n,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__eq__0__iff,axiom,
% 26.60/26.80 ! [V_n_2,V_aa_2,T_a] :
% 26.60/26.80 ( ( class_Power_Opower(T_a)
% 26.60/26.80 & class_Rings_Omult__zero(T_a)
% 26.60/26.80 & class_Rings_Ono__zero__divisors(T_a)
% 26.60/26.80 & class_Rings_Ozero__neq__one(T_a) )
% 26.60/26.80 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__mult__distrib,axiom,
% 26.60/26.80 ! [V_n,V_b,V_a,T_a] :
% 26.60/26.80 ( class_Groups_Ocomm__monoid__mult(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__commutes,axiom,
% 26.60/26.80 ! [V_n,V_a,T_a] :
% 26.60/26.80 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__one,axiom,
% 26.60/26.80 ! [V_n,T_a] :
% 26.60/26.80 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_nonzero__inverse__eq__imp__eq,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.80 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => V_a = V_b ) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__zero__imp__zero,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.80 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_nonzero__inverse__inverse__eq,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_nonzero__imp__inverse__nonzero,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__nonzero__iff__nonzero,axiom,
% 26.60/26.80 ! [V_aa_2,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.80 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__zero,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.80 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_field__inverse__zero,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 26.60/26.80 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__mult__distrib,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 26.60/26.80 => 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_norm__one,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 26.60/26.80 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__eq__1__iff,axiom,
% 26.60/26.80 ! [V_x_2,T_a] :
% 26.60/26.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 26.60/26.80 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.80 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__1,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.80 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__inverse,axiom,
% 26.60/26.80 ! [V_n,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.80 => 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) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__one__right,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.80 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__strict__left__mono__neg,axiom,
% 26.60/26.80 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__strict__right__mono__neg,axiom,
% 26.60/26.80 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_comm__mult__strict__left__mono,axiom,
% 26.60/26.80 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__strict__left__mono,axiom,
% 26.60/26.80 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__strict__right__mono,axiom,
% 26.60/26.80 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__neg__neg,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__neg__pos,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__less__cancel__left__neg,axiom,
% 26.60/26.80 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_zero__less__mult__pos2,axiom,
% 26.60/26.80 ! [V_a,V_b,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_zero__less__mult__pos,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__pos__neg2,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__pos__neg,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__pos__pos,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semiring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__less__cancel__left__pos,axiom,
% 26.60/26.80 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__less__cancel__left__disj,axiom,
% 26.60/26.80 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 26.60/26.80 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 26.60/26.80 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_mult__less__cancel__right__disj,axiom,
% 26.60/26.80 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 26.60/26.80 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 26.60/26.80 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_not__square__less__zero,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__ring(T_a)
% 26.60/26.80 => ~ 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)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_pos__add__strict,axiom,
% 26.60/26.80 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_zero__less__one,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_not__one__less__zero,axiom,
% 26.60/26.80 ! [T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_less__1__mult,axiom,
% 26.60/26.80 ! [V_n,V_m,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_zero__less__power,axiom,
% 26.60/26.80 ! [V_n,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => 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)) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_less__add__one,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => 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))) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__0__left,axiom,
% 26.60/26.80 ! [V_n,T_a] :
% 26.60/26.80 ( ( class_Power_Opower(T_a)
% 26.60/26.80 & class_Rings_Osemiring__0(T_a) )
% 26.60/26.80 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.80 => 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) )
% 26.60/26.80 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.80 => 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) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__strict__increasing,axiom,
% 26.60/26.80 ! [V_a,V_N,V_n,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__less__imp__less__exp,axiom,
% 26.60/26.80 ! [V_n,V_m,V_a,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__strict__increasing__iff,axiom,
% 26.60/26.80 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 26.60/26.80 => ( 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))
% 26.60/26.80 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_power__inject__exp,axiom,
% 26.60/26.80 ! [V_n_2,V_ma_2,V_aa_2,T_a] :
% 26.60/26.80 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2)
% 26.60/26.80 => ( 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)
% 26.60/26.80 <=> V_ma_2 = V_n_2 ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__less__imp__less__neg,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__less__imp__less,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( 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))
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__negative__imp__negative,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_less__imp__inverse__less__neg,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_less__imp__inverse__less,axiom,
% 26.60/26.80 ! [V_b,V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => 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)) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_negative__imp__inverse__negative,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__positive__imp__positive,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a))
% 26.60/26.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_positive__imp__inverse__positive,axiom,
% 26.60/26.80 ! [V_a,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__negative__iff__negative,axiom,
% 26.60/26.80 ! [V_aa_2,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.80 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.80
% 26.60/26.80 fof(fact_inverse__positive__iff__positive,axiom,
% 26.60/26.80 ! [V_aa_2,T_a] :
% 26.60/26.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_nonzero__inverse__mult__distrib,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.81 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__eq__zero,axiom,
% 26.60/26.81 ! [V_x_2,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.81 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__zero,axiom,
% 26.60/26.81 ! [T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_power__add,axiom,
% 26.60/26.81 ! [V_n,V_m,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_inverse__unique,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.81 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.81 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_nonzero__power__inverse,axiom,
% 26.60/26.81 ! [V_n,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.81 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 => 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) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__add__less,axiom,
% 26.60/26.81 ! [V_s,V_y,V_r,V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__mult,axiom,
% 26.60/26.81 ! [V_y,V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__not__less__zero,axiom,
% 26.60/26.81 ! [V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => ~ 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__power,axiom,
% 26.60/26.81 ! [V_n,V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__inverse,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 26.60/26.81 & class_Rings_Odivision__ring__inverse__zero(T_a) )
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_zero__less__two,axiom,
% 26.60/26.81 ! [T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.81 => 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))) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_power__strict__decreasing,axiom,
% 26.60/26.81 ! [V_a,V_N,V_n,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.81 => 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)) ) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_power__less__power__Suc,axiom,
% 26.60/26.81 ! [V_n,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.81 => 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))) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_power__gt1__lemma,axiom,
% 26.60/26.81 ! [V_n,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.81 => 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))) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_inverse__add,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Fields_Ofield(T_a)
% 26.60/26.81 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_Bseq__inverse__lemma,axiom,
% 26.60/26.81 ! [V_x,V_r,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_r,c_RealVector_Onorm__class_Onorm(T_a,V_x))
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__ratiotest__lemma,axiom,
% 26.60/26.81 ! [V_y,V_x,V_c,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 26.60/26.81 => ( 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)))
% 26.60/26.81 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__le__cancel__iff2,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,V_z_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__le__cancel__iff1,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,V_z_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_m_I2_J,axiom,
% 26.60/26.81 ! [B_z] :
% 26.60/26.81 ( 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____))
% 26.60/26.81 => 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____) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_sum__squares__gt__zero__iff,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.81 => ( 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)))
% 26.60/26.81 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_not__sum__squares__lt__zero,axiom,
% 26.60/26.81 ! [V_y,V_x,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__ring(T_a)
% 26.60/26.81 => ~ 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_sum__squares__le__zero__iff,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_sum__squares__ge__zero,axiom,
% 26.60/26.81 ! [V_y,V_x,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__ring(T_a)
% 26.60/26.81 => 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))) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__nonpos__neg,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__neg__nonpos,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__strict__increasing2,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 26.60/26.81 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_assms,axiom,
% 26.60/26.81 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_le__Suc__ex__iff,axiom,
% 26.60/26.81 ! [V_l_2,V_ka_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_l_2)
% 26.60/26.81 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,B_n) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_zero__reorient,axiom,
% 26.60/26.81 ! [V_x_2,T_a] :
% 26.60/26.81 ( class_Groups_Ozero(T_a)
% 26.60/26.81 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 26.60/26.81 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oab__semigroup__mult(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oab__semigroup__add(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__left__cancel,axiom,
% 26.60/26.81 ! [V_ca_2,V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ocancel__semigroup__add(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 <=> V_b_2 = V_ca_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__right__cancel,axiom,
% 26.60/26.81 ! [V_ca_2,V_aa_2,V_b_2,T_a] :
% 26.60/26.81 ( class_Groups_Ocancel__semigroup__add(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 <=> V_b_2 = V_ca_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__left__imp__eq,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ocancel__semigroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 26.60/26.81 => V_b = V_c ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__imp__eq,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 26.60/26.81 => V_b = V_c ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__right__imp__eq,axiom,
% 26.60/26.81 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.81 ( class_Groups_Ocancel__semigroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 26.60/26.81 => V_b = V_c ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_one__reorient,axiom,
% 26.60/26.81 ! [V_x_2,T_a] :
% 26.60/26.81 ( class_Groups_Oone(T_a)
% 26.60/26.81 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 26.60/26.81 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__le__antisym,axiom,
% 26.60/26.81 ! [V_w,V_z] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 26.60/26.81 => V_z = V_w ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__le__trans,axiom,
% 26.60/26.81 ! [V_k,V_j,V_i] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 26.60/26.81 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__add__left__mono,axiom,
% 26.60/26.81 ! [V_z,V_y,V_x] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__le__linear,axiom,
% 26.60/26.81 ! [V_w,V_z] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 26.60/26.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__le__refl,axiom,
% 26.60/26.81 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__zero__not__eq__one,axiom,
% 26.60/26.81 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__commute,axiom,
% 26.60/26.81 ! [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) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__assoc,axiom,
% 26.60/26.81 ! [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)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__1,axiom,
% 26.60/26.81 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__add__mult__distrib,axiom,
% 26.60/26.81 ! [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)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__0__left,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Omonoid__add(T_a)
% 26.60/26.81 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__0,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ocomm__monoid__add(T_a)
% 26.60/26.81 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_double__zero__sym,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)
% 26.60/26.81 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__0__right,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Omonoid__add(T_a)
% 26.60/26.81 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add_Ocomm__neutral,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ocomm__monoid__add(T_a)
% 26.60/26.81 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__le__cancel__right,axiom,
% 26.60/26.81 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__le__cancel__left,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__right__mono,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__left__mono,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__mono,axiom,
% 26.60/26.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__le__imp__le__right,axiom,
% 26.60/26.81 ! [V_b,V_c,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__le__imp__le__left,axiom,
% 26.60/26.81 ! [V_b,V_a,V_c,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__less__cancel__right,axiom,
% 26.60/26.81 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__less__cancel__left,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__strict__right__mono,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__strict__left__mono,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__strict__mono,axiom,
% 26.60/26.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__less__imp__less__right,axiom,
% 26.60/26.81 ! [V_b,V_c,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__less__imp__less__left,axiom,
% 26.60/26.81 ! [V_b,V_a,V_c,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__1__left,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__1,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ocomm__monoid__mult(T_a)
% 26.60/26.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__1__right,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult_Ocomm__neutral,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ocomm__monoid__mult(T_a)
% 26.60/26.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__less__def,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 26.60/26.81 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 26.60/26.81 & V_x_2 != V_y_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_less__eq__real__def,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 26.60/26.81 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 26.60/26.81 | V_x_2 = V_y_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__right__cancel,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,V_ca_2] :
% 26.60/26.81 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.81 => ( 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)
% 26.60/26.81 <=> V_aa_2 = V_b_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__left__cancel,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,V_ca_2] :
% 26.60/26.81 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.81 => ( 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)
% 26.60/26.81 <=> V_aa_2 = V_b_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__two__squares__add__zero__iff,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2] :
% 26.60/26.81 ( 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)
% 26.60/26.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.81 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_INVERSE__ZERO,axiom,
% 26.60/26.81 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__nonneg__nonneg,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__nonneg__eq__0__iff,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 26.60/26.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__increasing,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 26.60/26.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__increasing2,axiom,
% 26.60/26.81 ! [V_a,V_b,V_c,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 26.60/26.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__nonpos__nonpos,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__pos__pos,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__neg__neg,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__less__le__mono,axiom,
% 26.60/26.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__le__less__mono,axiom,
% 26.60/26.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_sum__squares__eq__zero__iff,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__ring__strict(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__less__iff1,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,V_z_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__order,axiom,
% 26.60/26.81 ! [V_y,V_x] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__less__mono2,axiom,
% 26.60/26.81 ! [V_y,V_x,V_z] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_real__mult__inverse__left,axiom,
% 26.60/26.81 ! [V_x] :
% 26.60/26.81 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__pos__nonneg,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__nonneg__pos,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.81 => 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)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__strict__increasing,axiom,
% 26.60/26.81 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 26.60/26.81 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 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,
% 26.60/26.81 ~ ! [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) ).
% 26.60/26.81
% 26.60/26.81 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,
% 26.60/26.81 ? [B_m] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 26.60/26.81 & ! [B_z] :
% 26.60/26.81 ( 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____))
% 26.60/26.81 => 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) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096,axiom,
% 26.60/26.81 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)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_wm1,axiom,
% 26.60/26.81 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)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_le0,axiom,
% 26.60/26.81 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_less__zeroE,axiom,
% 26.60/26.81 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_nat__mult__le__cancel1,axiom,
% 26.60/26.81 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.81 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__le__cancel2,axiom,
% 26.60/26.81 ! [V_n_2,V_ka_2,V_ma_2] :
% 26.60/26.81 ( 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))
% 26.60/26.81 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.81 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_less_Oprems,axiom,
% 26.60/26.81 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____)) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__0,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__def,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_ab__diff__minus,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__minus__eq__add,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__eq__diff__eq,axiom,
% 26.60/26.81 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 => ( V_aa_2 = V_b_2
% 26.60/26.81 <=> V_ca_2 = V_d_2 ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__equal__iff__equal,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 26.60/26.81 <=> V_aa_2 = V_b_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__equation__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2
% 26.60/26.81 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_equation__minus__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 26.60/26.81 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__diff__eq,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__minus,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_constant__def,axiom,
% 26.60/26.81 ! [V_f_2,T_b,T_a] :
% 26.60/26.81 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_a,T_b,V_f_2)
% 26.60/26.81 <=> ! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__triangle__ineq2,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => 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))) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_right__minus__eq,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 <=> V_aa_2 = V_b_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_eq__iff__diff__eq__0,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.81 => ( V_aa_2 = V_b_2
% 26.60/26.81 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__self,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__0__right,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__eq__diff__less__eq,axiom,
% 26.60/26.81 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__equal__zero,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2
% 26.60/26.81 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__equal__0__iff__equal,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_equal__neg__zero,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 26.60/26.81 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__0__equal__iff__equal,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 26.60/26.81 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__zero,axiom,
% 26.60/26.81 ! [T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__eq__diff__less,axiom,
% 26.60/26.81 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_le__minus__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__le__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__le__iff__le,axiom,
% 26.60/26.81 ! [V_aa_2,V_b_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_le__imp__neg__le,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.81 => 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__less__iff__less,axiom,
% 26.60/26.81 ! [V_aa_2,V_b_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__less__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_less__minus__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__left_Odiff,axiom,
% 26.60/26.81 ! [V_ya,V_y,V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult_Odiff__left,axiom,
% 26.60/26.81 ! [V_b,V_a_H,V_a,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__right_Odiff,axiom,
% 26.60/26.81 ! [V_y,V_x,V_xa,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult_Odiff__right,axiom,
% 26.60/26.81 ! [V_b_H,V_b,V_a,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__diff__cancel,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_diff__add__cancel,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_square__eq__iff,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Rings_Oidom(T_a)
% 26.60/26.81 => ( 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)
% 26.60/26.81 <=> ( V_aa_2 = V_b_2
% 26.60/26.81 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__mult__minus,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Oring(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__mult__commute,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Oring(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__left_Ominus,axiom,
% 26.60/26.81 ! [V_y,V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult_Ominus__left,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult__right_Ominus,axiom,
% 26.60/26.81 ! [V_x,V_xa,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_mult_Ominus__right,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__mult__left,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Oring(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__mult__right,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Rings_Oring(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__add__cancel,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => 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 ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__minus__cancel,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => 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 ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__add,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__add__distrib,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__minus__commute,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_norm__minus__cancel,axiom,
% 26.60/26.81 ! [V_x,T_a] :
% 26.60/26.81 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_inverse__minus__eq,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 26.60/26.81 => 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)) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_le__iff__diff__le__0,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 26.60/26.81 <=> 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_less__iff__diff__less__0,axiom,
% 26.60/26.81 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 26.60/26.81 <=> 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)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__0__le__iff__le,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_le__minus__self__iff,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__le__0__iff__le,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( 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))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__le__self__iff,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_less__minus__self__iff,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__less__nonneg,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__less__0__iff__less,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_neg__0__less__iff__less,axiom,
% 26.60/26.81 ! [V_aa_2,T_a] :
% 26.60/26.81 ( class_Groups_Oordered__ab__group__add(T_a)
% 26.60/26.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 26.60/26.81 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_minus__unique,axiom,
% 26.60/26.81 ! [V_b,V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_add__eq__0__iff,axiom,
% 26.60/26.81 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.81 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_ab__left__minus,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.81 => 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) ) ).
% 26.60/26.81
% 26.60/26.81 fof(fact_left__minus,axiom,
% 26.60/26.81 ! [V_a,T_a] :
% 26.60/26.81 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 26.60/26.82 ! [V_b_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.82 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 26.60/26.82 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_right__minus,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Groups_Ogroup__add(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_eq__add__iff1,axiom,
% 26.60/26.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Oring(T_a)
% 26.60/26.82 => ( 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)
% 26.60/26.82 <=> 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 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_eq__add__iff2,axiom,
% 26.60/26.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Oring(T_a)
% 26.60/26.82 => ( 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)
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult_Oprod__diff__prod,axiom,
% 26.60/26.82 ! [V_b,V_a,V_y,V_x,T_a] :
% 26.60/26.82 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__diff__mult,axiom,
% 26.60/26.82 ! [V_b,V_a,V_y,V_x,T_a] :
% 26.60/26.82 ( class_Rings_Oring(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_square__eq__1__iff,axiom,
% 26.60/26.82 ! [V_x_2,T_a] :
% 26.60/26.82 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 26.60/26.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.82 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.82 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nonzero__inverse__minus__eq,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.82 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add__iff1,axiom,
% 26.60/26.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add__iff2,axiom,
% 26.60/26.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__add__iff1,axiom,
% 26.60/26.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__add__iff2,axiom,
% 26.60/26.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Oordered__ring(T_a)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__squared__diff__one__factored,axiom,
% 26.60/26.82 ! [V_x,T_a] :
% 26.60/26.82 ( class_Rings_Oring__1(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_division__ring__inverse__diff,axiom,
% 26.60/26.82 ! [V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.82 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 => 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)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_power__minus,axiom,
% 26.60/26.82 ! [V_n,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Oring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_norm__triangle__ineq4,axiom,
% 26.60/26.82 ! [V_b,V_a,T_a] :
% 26.60/26.82 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__less__cases,axiom,
% 26.60/26.82 ! [V_P_2,V_n_2,V_ma_2] :
% 26.60/26.82 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 26.60/26.82 => ( ( V_ma_2 = V_n_2
% 26.60/26.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 26.60/26.82 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 26.60/26.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 26.60/26.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__not__refl3,axiom,
% 26.60/26.82 ! [V_t,V_s] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 26.60/26.82 => V_s != V_t ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__not__refl2,axiom,
% 26.60/26.82 ! [V_m,V_n] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 26.60/26.82 => V_m != V_n ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__irrefl__nat,axiom,
% 26.60/26.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_linorder__neqE__nat,axiom,
% 26.60/26.82 ! [V_y,V_x] :
% 26.60/26.82 ( V_x != V_y
% 26.60/26.82 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__neq__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( V_ma_2 != V_n_2
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__not__refl,axiom,
% 26.60/26.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__right__cancel,axiom,
% 26.60/26.82 ! [V_n_2,V_ka_2,V_ma_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> V_ma_2 = V_n_2 ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__left__cancel,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> V_ma_2 = V_n_2 ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__assoc,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__left__commute,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__commute,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__antisym,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.82 => V_m = V_n ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__trans,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_eq__imp__le,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( V_m = V_n
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__le__linear,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__refl,axiom,
% 26.60/26.82 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__assoc,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__commute,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_norm__diff__triangle__ineq,axiom,
% 26.60/26.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.82 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.82 => 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)))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_not__less0,axiom,
% 26.60/26.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_neq0__conv,axiom,
% 26.60/26.82 ! [V_n_2] :
% 26.60/26.82 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__nat__zero__code,axiom,
% 26.60/26.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_gr__implies__not0,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_gr0I,axiom,
% 26.60/26.82 ! [V_n] :
% 26.60/26.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__eq__self__zero,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 26.60/26.82 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__is__0,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_Nat_Oadd__0__right,axiom,
% 26.60/26.82 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 26.60/26.82
% 26.60/26.82 fof(fact_plus__nat_Oadd__0,axiom,
% 26.60/26.82 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 26.60/26.82 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__0__eq,axiom,
% 26.60/26.82 ! [V_n_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__0,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__0__right,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__is__0,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 | V_ma_2 = V_n_2 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__cancel1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> ( V_ma_2 = V_n_2
% 26.60/26.82 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__cancel2,axiom,
% 26.60/26.82 ! [V_n_2,V_ka_2,V_ma_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> ( V_ma_2 = V_n_2
% 26.60/26.82 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__lessD1,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__add__eq__less,axiom,
% 26.60/26.82 ! [V_n,V_m,V_l,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 26.60/26.82 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__less__mono,axiom,
% 26.60/26.82 ! [V_l,V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__less__mono1,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_trans__less__add2,axiom,
% 26.60/26.82 ! [V_m,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_trans__less__add1,axiom,
% 26.60/26.82 ! [V_m,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__left__cancel__less,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_not__add__less2,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_not__add__less1,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__or__eq__imp__le,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 | V_m = V_n )
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__neq__implies__less,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => ( V_m != V_n
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__imp__le__nat,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__eq__less__or__eq,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 | V_ma_2 = V_n_2 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__less__le,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 & V_ma_2 != V_n_2 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__leE,axiom,
% 26.60/26.82 ! [V_n,V_k,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 26.60/26.82 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__leD1,axiom,
% 26.60/26.82 ! [V_n,V_k,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__leD2,axiom,
% 26.60/26.82 ! [V_n,V_k,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__le__mono,axiom,
% 26.60/26.82 ! [V_l,V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__le__mono1,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_trans__le__add2,axiom,
% 26.60/26.82 ! [V_m,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_trans__le__add1,axiom,
% 26.60/26.82 ! [V_m,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__add__left__cancel__le,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__iff__add,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.82 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add1,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add2,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_left__add__mult__distrib,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__mult__distrib,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__mult__distrib2,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__le__mono,axiom,
% 26.60/26.82 ! [V_l,V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__le__mono2,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__le__mono1,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__cube,axiom,
% 26.60/26.82 ! [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))) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__square,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__eq__1__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 26.60/26.82 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 26.60/26.82 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__1__right,axiom,
% 26.60/26.82 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__1__eq__mult__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)
% 26.60/26.82 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 26.60/26.82 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__1,axiom,
% 26.60/26.82 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__gr__0,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 26.60/26.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__0__less__mult__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 26.60/26.82 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__less__cancel1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.82 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__less__cancel2,axiom,
% 26.60/26.82 ! [V_n_2,V_ka_2,V_ma_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.82 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__eq__cancel1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.82 => ( 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)
% 26.60/26.82 <=> V_ma_2 = V_n_2 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__mult__less__cancel1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__less__mono1,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__less__mono2,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__eq__self__implies__10,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 26.60/26.82 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 26.60/26.82 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__le__cancel1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_Deriv_Oinverse__diff__inverse,axiom,
% 26.60/26.82 ! [V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Odivision__ring(T_a)
% 26.60/26.82 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 => 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))) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_complex__diff__def,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_reduce__poly__simple,axiom,
% 26.60/26.82 ! [V_n,V_b] :
% 26.60/26.82 ( V_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 26.60/26.82 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => ? [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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zero__less__power__nat__eq,axiom,
% 26.60/26.82 ! [V_n_2,V_x_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_not__real__square__gt__zero,axiom,
% 26.60/26.82 ! [V_x_2] :
% 26.60/26.82 ( ~ 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))
% 26.60/26.82 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 26.60/26.82 ! [V_q,V_p,V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_pc0,axiom,
% 26.60/26.82 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_c,axiom,
% 26.60/26.82 ! [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))) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_kn,axiom,
% 26.60/26.82 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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__diff__def,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_minus__real__def,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__0__eq__0,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_minus__nat_Odiff__0,axiom,
% 26.60/26.82 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__self__eq__0,axiom,
% 26.60/26.82 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diffs0__imp__equal,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => V_m = V_n ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__less__mono2,axiom,
% 26.60/26.82 ! [V_l,V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__imp__diff__less,axiom,
% 26.60/26.82 ! [V_n,V_k,V_j] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__cancel2,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__cancel,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__diff__left,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__add__inverse,axiom,
% 26.60/26.82 ! [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 ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__add__inverse2,axiom,
% 26.60/26.82 ! [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 ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__diff__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_Nat_Odiff__diff__eq,axiom,
% 26.60/26.82 ! [V_n,V_m,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 26.60/26.82 => 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_eq__diff__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 26.60/26.82 => ( 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)
% 26.60/26.82 <=> V_ma_2 = V_n_2 ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__diff__cancel,axiom,
% 26.60/26.82 ! [V_n,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 26.60/26.82 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__le__mono,axiom,
% 26.60/26.82 ! [V_l,V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__le__mono2,axiom,
% 26.60/26.82 ! [V_l,V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__le__self,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__mult__distrib,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__mult__distrib2,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_complex__mod__minus__le__complex__mod,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__le__eq__diff,axiom,
% 26.60/26.82 ! [V_y_2,V_x_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 26.60/26.82 <=> 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__less,axiom,
% 26.60/26.82 ! [V_m,V_n] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 26.60/26.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zero__less__diff,axiom,
% 26.60/26.82 ! [V_ma_2,V_n_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__minus__mult__self__le,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__add__0,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__is__0__eq,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__is__0__eq_H,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__diff__inverse,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.82 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__diff__conv,axiom,
% 26.60/26.82 ! [V_ka_2,V_j_2,V_i_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__less__mono,axiom,
% 26.60/26.82 ! [V_c,V_b,V_a] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__diff__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__add__minus__iff,axiom,
% 26.60/26.82 ! [V_aa_2,V_x_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> V_x_2 = V_aa_2 ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__add__eq__0__iff,axiom,
% 26.60/26.82 ! [V_y_2,V_x_2] :
% 26.60/26.82 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.82 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__diff__right,axiom,
% 26.60/26.82 ! [V_i,V_j,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__diff__conv,axiom,
% 26.60/26.82 ! [V_i_2,V_ka_2,V_j_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add__diff,axiom,
% 26.60/26.82 ! [V_m,V_n,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add__diff__inverse,axiom,
% 26.60/26.82 ! [V_m,V_n] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.82 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__diff__assoc,axiom,
% 26.60/26.82 ! [V_i,V_j,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__diff__conv2,axiom,
% 26.60/26.82 ! [V_i_2,V_j_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_j_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__add__diff__inverse2,axiom,
% 26.60/26.82 ! [V_m,V_n] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.82 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__imp__diff__is__add,axiom,
% 26.60/26.82 ! [V_ka_2,V_j_2,V_i_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 26.60/26.82 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_ka_2
% 26.60/26.82 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_i_2) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__add__assoc,axiom,
% 26.60/26.82 ! [V_i,V_j,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__diff__assoc2,axiom,
% 26.60/26.82 ! [V_i,V_j,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__add__assoc2,axiom,
% 26.60/26.82 ! [V_i,V_j,V_k] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_complex__mod__triangle__ineq2,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_norm__diff__ineq,axiom,
% 26.60/26.82 ! [V_b,V_a,T_a] :
% 26.60/26.82 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__diff__split,axiom,
% 26.60/26.82 ! [V_b_2,V_aa_2,V_P_2] :
% 26.60/26.82 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 26.60/26.82 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 26.60/26.82 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 26.60/26.82 & ! [B_d] :
% 26.60/26.82 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 26.60/26.82 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__diff__split__asm,axiom,
% 26.60/26.82 ! [V_b_2,V_aa_2,V_P_2] :
% 26.60/26.82 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 26.60/26.82 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 26.60/26.82 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 26.60/26.82 | ? [B_d] :
% 26.60/26.82 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 26.60/26.82 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__add__le__0__iff,axiom,
% 26.60/26.82 ! [V_y_2,V_x_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__0__le__add__iff,axiom,
% 26.60/26.82 ! [V_y_2,V_x_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__0__less__add__iff,axiom,
% 26.60/26.82 ! [V_y_2,V_x_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_real__add__less__0__iff,axiom,
% 26.60/26.82 ! [V_y_2,V_x_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__eq__add__iff2,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 26.60/26.82 => ( 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)
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__diff__add__eq2,axiom,
% 26.60/26.82 ! [V_n,V_m,V_u,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__le__add__iff2,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__eq__add__iff1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 26.60/26.82 => ( 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)
% 26.60/26.82 <=> 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 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__diff__add__eq1,axiom,
% 26.60/26.82 ! [V_n,V_m,V_u,V_i,V_j] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__le__add__iff1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 26.60/26.82 ! [V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 26.60/26.82 ! [V_ry,V_rx,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 26.60/26.82 ! [V_ry,V_rx,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 26.60/26.82 ! [V_rx,V_ly,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 26.60/26.82 ! [V_rx,V_ly,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 26.60/26.82 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 26.60/26.82 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 26.60/26.82 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 26.60/26.82 ! [V_c,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 26.60/26.82 ! [V_d,V_c,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 26.60/26.82 ! [V_d,V_c,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 26.60/26.82 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 26.60/26.82 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 26.60/26.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__less__add__iff2,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_nat__less__add__iff1,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__eq__if,axiom,
% 26.60/26.82 ! [V_n,V_m] :
% 26.60/26.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 26.60/26.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_power__eq__if,axiom,
% 26.60/26.82 ! [V_p,V_m] :
% 26.60/26.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 26.60/26.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => 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)))) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_realpow__num__eq__if,axiom,
% 26.60/26.82 ! [V_m,V_n,T_a] :
% 26.60/26.82 ( class_Power_Opower(T_a)
% 26.60/26.82 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 26.60/26.82 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 => 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)))) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_realpow__minus__mult,axiom,
% 26.60/26.82 ! [V_x,V_n,T_a] :
% 26.60/26.82 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.82 => 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__0__iff,axiom,
% 26.60/26.82 ! [V_aa_2,V_b_2,T_a] :
% 26.60/26.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 26.60/26.82 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2)
% 26.60/26.82 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 26.60/26.82 ! [V_z,V_y,V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_crossproduct__noteq,axiom,
% 26.60/26.82 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 26.60/26.82 => ( ( V_aa_2 != V_b_2
% 26.60/26.82 & V_ca_2 != V_d_2 )
% 26.60/26.82 <=> 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 26.60/26.82 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 26.60/26.82 ! [V_b,V_m,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_crossproduct__eq,axiom,
% 26.60/26.82 ! [V_z_2,V_x_2,V_y_2,V_wa_2,T_a] :
% 26.60/26.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> ( V_wa_2 = V_x_2
% 26.60/26.82 | V_y_2 = V_z_2 ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 26.60/26.82 ! [V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_Deriv_Oadd__diff__add,axiom,
% 26.60/26.82 ! [V_d,V_b,V_c,V_a,T_a] :
% 26.60/26.82 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 26.60/26.82 ! [V_q,V_y,V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 26.60/26.82 ! [V_q,V_p,V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 26.60/26.82 ! [V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__scale__eq__noteq,axiom,
% 26.60/26.82 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 26.60/26.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 26.60/26.82 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 => ( ( V_a = V_b
% 26.60/26.82 & V_c != V_d )
% 26.60/26.82 => 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)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 26.60/26.82 ! [V_m,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 26.60/26.82 ! [V_a,V_m,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 26.60/26.82 ! [V_m,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 26.60/26.82 ! [V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 26.60/26.82 ! [V_y,V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 26.60/26.82 ! [V_x,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_k1n,axiom,
% 26.60/26.82 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____)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_even__less__0__iff,axiom,
% 26.60/26.82 ! [V_aa_2,T_a] :
% 26.60/26.82 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.82 => ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.82
% 26.60/26.82 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,
% 26.60/26.82 ~ ! [B_m] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 26.60/26.82 => ~ ! [B_z] :
% 26.60/26.82 ( 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____))
% 26.60/26.82 => 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) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_cq0,axiom,
% 26.60/26.82 ! [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))) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_q_I1_J,axiom,
% 26.60/26.82 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_a00,axiom,
% 26.60/26.82 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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_q_I2_J,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_qnc,axiom,
% 26.60/26.82 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,axiom,
% 26.60/26.82 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_pqc0,axiom,
% 26.60/26.82 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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_kas_I3_J,axiom,
% 26.60/26.82 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____)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_diff__commute,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_psize__eq__0__iff,axiom,
% 26.60/26.82 ! [V_pb_2,T_a] :
% 26.60/26.82 ( class_Groups_Ozero(T_a)
% 26.60/26.82 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.82 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zpower__zadd__distrib,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zpower__zpower,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_double__eq__0__iff,axiom,
% 26.60/26.82 ! [V_aa_2,T_a] :
% 26.60/26.82 ( class_Groups_Olinordered__ab__group__add(T_a)
% 26.60/26.82 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less_Ohyps,axiom,
% 26.60/26.82 ! [V_pb_2] :
% 26.60/26.82 ( 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____))
% 26.60/26.82 => ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2))
% 26.60/26.82 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ).
% 26.60/26.82
% 26.60/26.82 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,
% 26.60/26.82 ? [B_q] :
% 26.60/26.82 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 26.60/26.82 & ! [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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,axiom,
% 26.60/26.82 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 26.60/26.82 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_qr,axiom,
% 26.60/26.82 ! [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))) ).
% 26.60/26.82
% 26.60/26.82 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,
% 26.60/26.82 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))) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_r01,axiom,
% 26.60/26.82 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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_lgqr,axiom,
% 26.60/26.82 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____)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_rnc,axiom,
% 26.60/26.82 ~ 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____))) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mrmq__eq,axiom,
% 26.60/26.82 ! [V_wa_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> 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)))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_kas_I4_J,axiom,
% 26.60/26.82 ! [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))) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zdiff__zmult__distrib2,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zmult__zminus,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zdiff__zmult__distrib,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zmult__1,axiom,
% 26.60/26.82 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zmult__1__right,axiom,
% 26.60/26.82 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zmult__commute,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__zmult__distrib2,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zmult__assoc,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__zmult__distrib,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_pos__zmult__eq__1__iff,axiom,
% 26.60/26.82 ! [V_n_2,V_ma_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)
% 26.60/26.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 26.60/26.82 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 26.60/26.82 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zmult__zless__mono2,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_calculation,axiom,
% 26.60/26.82 ( 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))
% 26.60/26.82 => ? [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)) ) ).
% 26.60/26.82
% 26.60/26.82 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,
% 26.60/26.82 ~ ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_poly__smult,axiom,
% 26.60/26.82 ! [V_x,V_p,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_less__bin__lemma,axiom,
% 26.60/26.82 ! [V_l_2,V_ka_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2)
% 26.60/26.82 <=> 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__zminus__inverse2,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zminus__0,axiom,
% 26.60/26.82 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_int__0__neq__1,axiom,
% 26.60/26.82 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_odd__nonzero,axiom,
% 26.60/26.82 ! [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) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_int__0__less__1,axiom,
% 26.60/26.82 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__0,axiom,
% 26.60/26.82 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 26.60/26.82
% 26.60/26.82 fof(fact_int__one__le__iff__zero__less,axiom,
% 26.60/26.82 ! [V_z_2] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__0__right,axiom,
% 26.60/26.82 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 26.60/26.82
% 26.60/26.82 fof(fact_odd__less__0,axiom,
% 26.60/26.82 ! [V_z_2] :
% 26.60/26.82 ( 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))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_le__imp__0__less,axiom,
% 26.60/26.82 ! [V_z] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_synthetic__div__unique__lemma,axiom,
% 26.60/26.82 ! [V_a,V_p,V_c,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.82 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p)
% 26.60/26.82 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_one__poly__def,axiom,
% 26.60/26.82 ! [T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_pCons__eq__0__iff,axiom,
% 26.60/26.82 ! [V_pb_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Groups_Ozero(T_a)
% 26.60/26.82 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.82 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.82 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_pCons__0__0,axiom,
% 26.60/26.82 ! [T_a] :
% 26.60/26.82 ( class_Groups_Ozero(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__pCons__left,axiom,
% 26.60/26.82 ! [V_q,V_p,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_smult__pCons,axiom,
% 26.60/26.82 ! [V_p,V_b,V_a,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_mult__pCons__right,axiom,
% 26.60/26.82 ! [V_q,V_a,V_p,T_a] :
% 26.60/26.82 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.82 => 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))) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add__pCons,axiom,
% 26.60/26.82 ! [V_q,V_b,V_p,V_a,T_a] :
% 26.60/26.82 ( class_Groups_Ocomm__monoid__add(T_a)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_pCons__eq__iff,axiom,
% 26.60/26.82 ! [V_qa_2,V_b_2,V_pb_2,V_aa_2,T_a] :
% 26.60/26.82 ( class_Groups_Ozero(T_a)
% 26.60/26.82 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qa_2)
% 26.60/26.82 <=> ( V_aa_2 = V_b_2
% 26.60/26.82 & V_pb_2 = V_qa_2 ) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__zless__mono,axiom,
% 26.60/26.82 ! [V_z,V_z_H,V_w,V_w_H] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 26.60/26.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 26.60/26.82 => 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)) ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__left__mono,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__strict__right__mono,axiom,
% 26.60/26.82 ! [V_k,V_j,V_i] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 26.60/26.82 => 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)) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zless__imp__add1__zle,axiom,
% 26.60/26.82 ! [V_z,V_w] :
% 26.60/26.82 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 26.60/26.82 => 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) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__assoc,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_add1__zle__eq,axiom,
% 26.60/26.82 ! [V_z_2,V_wa_2] :
% 26.60/26.82 ( 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)
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zadd__left__commute,axiom,
% 26.60/26.82 ! [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)) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zless__add1__eq,axiom,
% 26.60/26.82 ! [V_z_2,V_wa_2] :
% 26.60/26.82 ( 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)))
% 26.60/26.82 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)
% 26.60/26.82 | V_wa_2 = V_z_2 ) ) ).
% 26.60/26.82
% 26.60/26.82 fof(fact_zle__add1__eq__le,axiom,
% 26.60/26.82 ! [V_z_2,V_wa_2] :
% 26.60/26.82 ( 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)))
% 26.60/26.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zless__linear,axiom,
% 26.60/26.83 ! [V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 26.60/26.83 | V_x = V_y
% 26.60/26.83 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zless__le,axiom,
% 26.60/26.83 ! [V_wa_2,V_z_2] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)
% 26.60/26.83 & V_z_2 != V_wa_2 ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zadd__commute,axiom,
% 26.60/26.83 ! [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) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_diff__pCons,axiom,
% 26.60/26.83 ! [V_q,V_b,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_minus__poly__code_I2_J,axiom,
% 26.60/26.83 ! [V_p,V_a,T_b] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_b)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_minus__pCons,axiom,
% 26.60/26.83 ! [V_p,V_a,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zminus__zminus,axiom,
% 26.60/26.83 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zle__diff1__eq,axiom,
% 26.60/26.83 ! [V_z_2,V_wa_2] :
% 26.60/26.83 ( 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)))
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_diff__int__def__symmetric,axiom,
% 26.60/26.83 ! [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) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_diff__int__def,axiom,
% 26.60/26.83 ! [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)) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zminus__zadd__distrib,axiom,
% 26.60/26.83 ! [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)) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__pCons,axiom,
% 26.60/26.83 ! [V_x,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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))) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_offset__poly__eq__0__lemma,axiom,
% 26.60/26.83 ! [V_a,V_p,V_c,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => ( 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))
% 26.60/26.83 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__poly__0__left,axiom,
% 26.60/26.83 ! [V_q,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_add__poly__code_I1_J,axiom,
% 26.60/26.83 ! [V_q,T_a] :
% 26.60/26.83 ( class_Groups_Ocomm__monoid__add(T_a)
% 26.60/26.83 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__poly__0__right,axiom,
% 26.60/26.83 ! [V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_add__poly__code_I2_J,axiom,
% 26.60/26.83 ! [V_p,T_a] :
% 26.60/26.83 ( class_Groups_Ocomm__monoid__add(T_a)
% 26.60/26.83 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_minus__poly__code_I1_J,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_diff__poly__code_I1_J,axiom,
% 26.60/26.83 ! [V_q,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_diff__poly__code_I2_J,axiom,
% 26.60/26.83 ! [V_p,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__eq__iff,axiom,
% 26.60/26.83 ! [V_qa_2,V_pb_2,T_a] :
% 26.60/26.83 ( ( class_Int_Oring__char__0(T_a)
% 26.60/26.83 & class_Rings_Oidom(T_a) )
% 26.60/26.83 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qa_2)
% 26.60/26.83 <=> V_pb_2 = V_qa_2 ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__smult__right,axiom,
% 26.60/26.83 ! [V_q,V_a,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__add__right,axiom,
% 26.60/26.83 ! [V_q,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__smult__left,axiom,
% 26.60/26.83 ! [V_q,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__diff__right,axiom,
% 26.60/26.83 ! [V_q,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__minus__right,axiom,
% 26.60/26.83 ! [V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__mult,axiom,
% 26.60/26.83 ! [V_x,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__add,axiom,
% 26.60/26.83 ! [V_x,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__1,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__diff,axiom,
% 26.60/26.83 ! [V_x,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__smult,axiom,
% 26.60/26.83 ! [V_p,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__minus,axiom,
% 26.60/26.83 ! [V_x,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__power,axiom,
% 26.60/26.83 ! [V_x,V_n,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__add__left,axiom,
% 26.60/26.83 ! [V_p,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__1__left,axiom,
% 26.60/26.83 ! [V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__diff__left,axiom,
% 26.60/26.83 ! [V_p,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__minus__left,axiom,
% 26.60/26.83 ! [V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__zero,axiom,
% 26.60/26.83 ! [V_pb_2,T_a] :
% 26.60/26.83 ( ( class_Int_Oring__char__0(T_a)
% 26.60/26.83 & class_Rings_Oidom(T_a) )
% 26.60/26.83 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 26.60/26.83 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__0__right,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__0,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__0__left,axiom,
% 26.60/26.83 ! [V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__eq__0__iff,axiom,
% 26.60/26.83 ! [V_pb_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => ( c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 | V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_th01,axiom,
% 26.60/26.83 ~ 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)))))) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_th02,axiom,
% 26.60/26.83 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))))) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_self__quotient__aux2,axiom,
% 26.60/26.83 ! [V_q,V_r,V_a] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 26.60/26.83 => ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__poly__add__left,axiom,
% 26.60/26.83 ! [V_r,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_add__monom,axiom,
% 26.60/26.83 ! [V_b,V_n,V_a,T_a] :
% 26.60/26.83 ( class_Groups_Ocomm__monoid__add(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_monom__eq__iff,axiom,
% 26.60/26.83 ! [V_b_2,V_n_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Groups_Ozero(T_a)
% 26.60/26.83 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Polynomial_Omonom(T_a,V_b_2,V_n_2)
% 26.60/26.83 <=> V_aa_2 = V_b_2 ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_diff__monom,axiom,
% 26.60/26.83 ! [V_b,V_n,V_a,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_minus__monom,axiom,
% 26.60/26.83 ! [V_n,V_a,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zle__refl,axiom,
% 26.60/26.83 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zle__linear,axiom,
% 26.60/26.83 ! [V_w,V_z] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 26.60/26.83 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zle__trans,axiom,
% 26.60/26.83 ! [V_k,V_j,V_i] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zle__antisym,axiom,
% 26.60/26.83 ! [V_w,V_z] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 26.60/26.83 => V_z = V_w ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__monom,axiom,
% 26.60/26.83 ! [V_n,V_b,V_m,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_monom__eq__0,axiom,
% 26.60/26.83 ! [V_n,T_a] :
% 26.60/26.83 ( class_Groups_Ozero(T_a)
% 26.60/26.83 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_monom__eq__0__iff,axiom,
% 26.60/26.83 ! [V_n_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Groups_Ozero(T_a)
% 26.60/26.83 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__monom,axiom,
% 26.60/26.83 ! [V_n,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__monom,axiom,
% 26.60/26.83 ! [V_x,V_n,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_monom__0,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Groups_Ozero(T_a)
% 26.60/26.83 => 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))) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__replicate__append,axiom,
% 26.60/26.83 ! [V_x,V_p,V_n,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 26.60/26.83 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 26.60/26.83 ( 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)
% 26.60/26.83 => ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_unique__quotient__lemma__neg,axiom,
% 26.60/26.83 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 26.60/26.83 ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zdiv__mono2__lemma,axiom,
% 26.60/26.83 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 26.60/26.83 ( 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)
% 26.60/26.83 => ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_unique__quotient__lemma,axiom,
% 26.60/26.83 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 26.60/26.83 ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_q__neg__lemma,axiom,
% 26.60/26.83 ! [V_r_H,V_q_H,V_b_H] :
% 26.60/26.83 ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_q__pos__lemma,axiom,
% 26.60/26.83 ! [V_r_H,V_q_H,V_b_H] :
% 26.60/26.83 ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_self__quotient__aux1,axiom,
% 26.60/26.83 ! [V_q,V_r,V_a] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 26.60/26.83 => ( 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))
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 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,
% 26.60/26.83 ? [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) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_synthetic__div__correct_H,axiom,
% 26.60/26.83 ! [V_p,V_c,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.83 => 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 ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 26.60/26.83 ! [V_n,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_synthetic__div__0,axiom,
% 26.60/26.83 ! [V_c,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_synthetic__div__pCons,axiom,
% 26.60/26.83 ! [V_c,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 26.60/26.83 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)) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_synthetic__div__unique,axiom,
% 26.60/26.83 ! [V_r,V_q,V_c,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => ( 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)
% 26.60/26.83 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c)
% 26.60/26.83 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_synthetic__div__correct,axiom,
% 26.60/26.83 ! [V_c,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 26.60/26.83 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)) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 26.60/26.83 ! [V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 26.60/26.83 => 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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 26.60/26.83 ! [V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 26.60/26.83 => 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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_pcompose__pCons,axiom,
% 26.60/26.83 ! [V_q,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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))) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_unimodular__reduce__norm,axiom,
% 26.60/26.83 ! [V_z] :
% 26.60/26.83 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 26.60/26.83 => ( 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))
% 26.60/26.83 | 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))
% 26.60/26.83 | 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))
% 26.60/26.83 | 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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__root,axiom,
% 26.60/26.83 ! [V_aa_2,V_pb_2,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_complex__i__not__zero,axiom,
% 26.60/26.83 c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_complex__i__not__one,axiom,
% 26.60/26.83 c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_pcompose__0,axiom,
% 26.60/26.83 ! [V_q,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__pcompose,axiom,
% 26.60/26.83 ! [V_x,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__0(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_complex__i__mult__minus,axiom,
% 26.60/26.83 ! [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) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_inverse__i,axiom,
% 26.60/26.83 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_i__mult__eq2,axiom,
% 26.60/26.83 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)) ).
% 26.60/26.83
% 26.60/26.83 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,
% 26.60/26.83 ? [B_k,B_a] :
% 26.60/26.83 ( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 26.60/26.83 & B_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.83 & ? [B_q] :
% 26.60/26.83 ( 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____))
% 26.60/26.83 & ! [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))) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__refl,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_power__power__power,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_Power_Opower(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_power_Opower_Opower__0,axiom,
% 26.60/26.83 ! [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 ).
% 26.60/26.83
% 26.60/26.83 fof(fact_le__fun__def,axiom,
% 26.60/26.83 ! [V_g_2,V_f_2,T_a,T_b] :
% 26.60/26.83 ( class_Orderings_Oord(T_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 26.60/26.83 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__linear,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__eq__iff,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( V_x_2 = V_y_2
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__eq__refl,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( V_x = V_y
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_le__funD,axiom,
% 26.60/26.83 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 26.60/26.83 ( class_Orderings_Oord(T_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__antisym__conv,axiom,
% 26.60/26.83 ! [V_x_2,V_y_2,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> V_x_2 = V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_ord__eq__le__trans,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oord(T_a)
% 26.60/26.83 => ( V_a = V_b
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I3_J,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( V_a = V_b
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_ord__le__eq__trans,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oord(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.83 => ( V_b = V_c
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I4_J,axiom,
% 26.60/26.83 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 26.60/26.83 => ( V_b = V_c
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__antisym,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 26.60/26.83 => V_x = V_y ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__trans,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I5_J,axiom,
% 26.60/26.83 ! [V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => V_x = V_y ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I6_J,axiom,
% 26.60/26.83 ! [V_z,V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_le__funE,axiom,
% 26.60/26.83 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 26.60/26.83 ( class_Orderings_Oord(T_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__le__cases,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__cases,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => ( V_x != V_y
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__asym,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I10_J,axiom,
% 26.60/26.83 ! [V_z,V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__trans,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I2_J,axiom,
% 26.60/26.83 ! [V_c,V_a,V_b,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 26.60/26.83 => ( V_b = V_c
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_ord__less__eq__trans,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oord(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.83 => ( V_b = V_c
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I1_J,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( V_a = V_b
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_ord__eq__less__trans,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oord(T_a)
% 26.60/26.83 => ( V_a = V_b
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I9_J,axiom,
% 26.60/26.83 ! [V_a,V_b,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__asym_H,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__imp__not__eq2,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => V_y != V_x ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__imp__not__eq,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => V_x != V_y ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__imp__not__less,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__not__sym,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_less__imp__neq,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => V_x != V_y ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__neqE,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( V_x != V_y
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__antisym__conv3,axiom,
% 26.60/26.83 ! [V_x_2,V_y_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> V_x_2 = V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__less__linear,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 | V_x = V_y
% 26.60/26.83 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_not__less__iff__gr__or__eq,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 26.60/26.83 | V_x_2 = V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__neq__iff,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( V_x_2 != V_y_2
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__irrefl,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I8_J,axiom,
% 26.60/26.83 ! [V_z,V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__le__less__trans,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I7_J,axiom,
% 26.60/26.83 ! [V_z,V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__le__trans,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I11_J,axiom,
% 26.60/26.83 ! [V_a,V_b,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 26.60/26.83 => ( V_a != V_b
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__le__neq__trans,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.83 => ( V_a != V_b
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__le__imp__less__or__eq,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 | V_x = V_y ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__antisym__conv2,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> V_x_2 = V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__imp__le,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_leD,axiom,
% 26.60/26.83 ! [V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 26.60/26.83 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_xt1_I12_J,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( V_a != V_b
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__neq__le__trans,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( V_a != V_b
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__antisym__conv1,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> V_x_2 = V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_not__leE,axiom,
% 26.60/26.83 ! [V_x,V_y,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_leI,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__le__less,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 | V_x_2 = V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_less__le__not__le,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Opreorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__less__le,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 & V_x_2 != V_y_2 ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__le__less__linear,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__not__le,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_linorder__not__less,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Orderings_Olinorder(T_a)
% 26.60/26.83 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_lemmaCauchy,axiom,
% 26.60/26.83 ! [V_X_2,V_M_2,T_a,T_b] :
% 26.60/26.83 ( ( class_RealVector_Oreal__normed__vector(T_b)
% 26.60/26.83 & class_Orderings_Oord(T_a) )
% 26.60/26.83 => ( ! [B_n] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 26.60/26.83 => 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)) )
% 26.60/26.83 => ! [B_n] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 26.60/26.83 => 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)))) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 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,
% 26.60/26.83 ~ ! [B_q] :
% 26.60/26.83 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 26.60/26.83 => ~ ! [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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__left_Opos__bounded,axiom,
% 26.60/26.83 ! [V_y,T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.83 => ? [B_K] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 26.60/26.83 & ! [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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_less__fun__def,axiom,
% 26.60/26.83 ! [V_g_2,V_f_2,T_a,T_b] :
% 26.60/26.83 ( class_Orderings_Oord(T_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 26.60/26.83 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 26.60/26.83 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult_Opos__bounded,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.83 => ? [B_K] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 26.60/26.83 & ! [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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__right_Opos__bounded,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__algebra(T_a)
% 26.60/26.83 => ? [B_K] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 26.60/26.83 & ! [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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_tsub__def,axiom,
% 26.60/26.83 ! [V_x,V_y] :
% 26.60/26.83 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 26.60/26.83 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 26.60/26.83 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 26.60/26.83 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_termination__basic__simps_I4_J,axiom,
% 26.60/26.83 ! [V_y,V_z,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 26.60/26.83 ! [V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 26.60/26.83 => 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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_tsub__eq,axiom,
% 26.60/26.83 ! [V_x,V_y] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 26.60/26.83 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_termination__basic__simps_I1_J,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_termination__basic__simps_I2_J,axiom,
% 26.60/26.83 ! [V_y,V_z,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 26.60/26.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_termination__basic__simps_I5_J,axiom,
% 26.60/26.83 ! [V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_termination__basic__simps_I3_J,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_pos__poly__pCons,axiom,
% 26.60/26.83 ! [V_pb_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2))
% 26.60/26.83 <=> ( c_Polynomial_Opos__poly(T_a,V_pb_2)
% 26.60/26.83 | ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_Limits_Ominus__diff__minus,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Groups_Oab__group__add(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_pos__poly__add,axiom,
% 26.60/26.83 ! [V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 26.60/26.83 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 26.60/26.83 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_pos__poly__mult,axiom,
% 26.60/26.83 ! [V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 26.60/26.83 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 26.60/26.83 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_less__eq__poly__def,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2)
% 26.60/26.83 <=> ( V_x_2 = V_y_2
% 26.60/26.83 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_not__pos__poly__0,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_less__poly__def,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2)
% 26.60/26.83 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_pos__poly__total,axiom,
% 26.60/26.83 ! [V_p,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 | c_Polynomial_Opos__poly(T_a,V_p)
% 26.60/26.83 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__cont,axiom,
% 26.60/26.83 ! [V_p,V_z,V_e] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e)
% 26.60/26.83 => ? [B_d] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)
% 26.60/26.83 & ! [B_w] :
% 26.60/26.83 ( ( 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)))
% 26.60/26.83 & 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) )
% 26.60/26.83 => 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) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_decseq__def,axiom,
% 26.60/26.83 ! [V_X_2,T_a] :
% 26.60/26.83 ( class_Orderings_Oorder(T_a)
% 26.60/26.83 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 26.60/26.83 <=> ! [B_m,B_n] :
% 26.60/26.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 26.60/26.83 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_compl__le__compl__iff,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Lattices_Oboolean__algebra(T_a)
% 26.60/26.83 => ( 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))
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_compl__mono,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_Lattices_Oboolean__algebra(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 26.60/26.83 => 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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__left__idem,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__idem,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 26.60/26.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_times_Oidem,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 26.60/26.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_minus__apply,axiom,
% 26.60/26.83 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 26.60/26.83 ( class_Groups_Ominus(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_double__compl,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Lattices_Oboolean__algebra(T_a)
% 26.60/26.83 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_uminus__apply,axiom,
% 26.60/26.83 ! [V_x_2,V_A_2,T_b,T_a] :
% 26.60/26.83 ( class_Groups_Ouminus(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_compl__eq__compl__iff,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Lattices_Oboolean__algebra(T_a)
% 26.60/26.83 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 26.60/26.83 <=> V_x_2 = V_y_2 ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__poly__def,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 26.60/26.83 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.83 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) )
% 26.60/26.83 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 26.60/26.83 => 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))) ) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_order__1,axiom,
% 26.60/26.83 ! [V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__0__right,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__zero__iff,axiom,
% 26.60/26.83 ! [V_x_2,T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.83 => ( c_Groups_Osgn__class_Osgn(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__0__0,axiom,
% 26.60/26.83 ! [V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__zero,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn0,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_Groups_Osgn__if(T_a)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__dvd__cancel,axiom,
% 26.60/26.83 ! [V_q,V_p,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__smult,axiom,
% 26.60/26.83 ! [V_a,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__0__left,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.83 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__refl,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__sgn,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => 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) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__trans,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__smult__iff,axiom,
% 26.60/26.83 ! [V_qa_2,V_pb_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Fields_Ofield(T_a)
% 26.60/26.83 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,c_Polynomial_Osmult(T_a,V_aa_2,V_qa_2))
% 26.60/26.83 <=> c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,V_qa_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__dvd,axiom,
% 26.60/26.83 ! [V_a,V_q,V_p,T_a] :
% 26.60/26.83 ( class_Fields_Ofield(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 26.60/26.83 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__smult__cancel,axiom,
% 26.60/26.83 ! [V_q,V_a,V_p,T_a] :
% 26.60/26.83 ( class_Fields_Ofield(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q))
% 26.60/26.83 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__mult__cancel__left,axiom,
% 26.60/26.83 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(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))
% 26.60/26.83 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 | c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__mult__cancel__right,axiom,
% 26.60/26.83 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(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))
% 26.60/26.83 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 | c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__mult,axiom,
% 26.60/26.83 ! [V_y,V_x,T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__times,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__power__same,axiom,
% 26.60/26.83 ! [V_n,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 26.60/26.83 => 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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__mult__right,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__mult__left,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvdI,axiom,
% 26.60/26.83 ! [V_k,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Odvd(T_a)
% 26.60/26.83 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_mult__dvd__mono,axiom,
% 26.60/26.83 ! [V_d,V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_c,V_d)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(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)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__mult,axiom,
% 26.60/26.83 ! [V_b,V_c,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__mult2,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__triv__right,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__triv__left,axiom,
% 26.60/26.83 ! [V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__diff,axiom,
% 26.60/26.83 ! [V_z,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_z)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_x,c_Groups_Ominus__class_Ominus(T_a,V_y,V_z)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__minus__iff,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 26.60/26.83 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_minus__dvd__iff,axiom,
% 26.60/26.83 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__ring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2)
% 26.60/26.83 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__one,axiom,
% 26.60/26.83 ! [T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__minus,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.83 => 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)) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_one__dvd,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__add,axiom,
% 26.60/26.83 ! [V_c,V_b,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_le__imp__power__dvd,axiom,
% 26.60/26.83 ! [V_a,V_n,V_m,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(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)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__power__le,axiom,
% 26.60/26.83 ! [V_m,V_n,V_y,V_x,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.83 => 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_m)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_power__le__dvd,axiom,
% 26.60/26.83 ! [V_m,V_b,V_n,V_a,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),V_b)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),V_b) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__less,axiom,
% 26.60/26.83 ! [V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__greater,axiom,
% 26.60/26.83 ! [V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_aa_2))
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_smult__dvd__iff,axiom,
% 26.60/26.83 ! [V_qa_2,V_pb_2,V_aa_2,T_a] :
% 26.60/26.83 ( class_Fields_Ofield(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2),V_qa_2)
% 26.60/26.83 <=> ( ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => V_qa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 26.60/26.83 & ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,V_qa_2) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__1__pos,axiom,
% 26.60/26.83 ! [V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Oone__class_Oone(T_a)
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__pos,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__power,axiom,
% 26.60/26.83 ! [V_x,V_n,T_a] :
% 26.60/26.83 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.83 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.83 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(T_a,V_x,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__if,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_Groups_Osgn__if(T_a)
% 26.60/26.83 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 26.60/26.83 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 26.60/26.83 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__1__neg,axiom,
% 26.60/26.83 ! [V_aa_2,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))
% 26.60/26.83 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_sgn__neg,axiom,
% 26.60/26.83 ! [V_a,T_a] :
% 26.60/26.83 ( class_Rings_Olinordered__idom(T_a)
% 26.60/26.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 26.60/26.83 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_norm__sgn,axiom,
% 26.60/26.83 ! [V_x,T_a] :
% 26.60/26.83 ( class_RealVector_Oreal__normed__vector(T_a)
% 26.60/26.83 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
% 26.60/26.83 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_poly__eq__0__iff__dvd,axiom,
% 26.60/26.83 ! [V_ca_2,V_pb_2,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_ca_2) = c_Groups_Ozero__class_Ozero(T_a)
% 26.60/26.83 <=> c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ca_2),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),V_pb_2) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_dvd__iff__poly__eq__0,axiom,
% 26.60/26.83 ! [V_pb_2,V_ca_2,T_a] :
% 26.60/26.83 ( class_Rings_Oidom(T_a)
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_ca_2,c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),V_pb_2)
% 26.60/26.83 <=> hAPP(c_Polynomial_Opoly(T_a,V_pb_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ca_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_inf__period_I4_J,axiom,
% 26.60/26.83 ! [V_t_2,V_D_2,V_d_2,T_a] :
% 26.60/26.83 ( ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 & class_Rings_Odvd(T_a) )
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2)
% 26.60/26.83 => ! [B_x,B_k] :
% 26.60/26.83 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_t_2))
% 26.60/26.83 <=> 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_t_2)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_inf__period_I3_J,axiom,
% 26.60/26.83 ! [V_t_2,V_D_2,V_d_2,T_a] :
% 26.60/26.83 ( ( class_Rings_Ocomm__ring(T_a)
% 26.60/26.83 & class_Rings_Odvd(T_a) )
% 26.60/26.83 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2)
% 26.60/26.83 => ! [B_x,B_k] :
% 26.60/26.83 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_t_2))
% 26.60/26.83 <=> 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_t_2)) ) ) ) ).
% 26.60/26.83
% 26.60/26.83 fof(fact_zdvd__mult__cancel,axiom,
% 26.60/26.83 ! [V_n,V_m,V_k] :
% 26.60/26.83 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n))
% 26.60/26.83 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 26.60/26.83 => c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m,V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__reduce,axiom,
% 26.60/26.84 ! [V_ma_2,V_n_2,V_ka_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_ka_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_n_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),V_ma_2)))
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_ka_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__period,axiom,
% 26.60/26.84 ! [V_ca_2,V_t_2,V_x_2,V_d_2,V_aa_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_aa_2,V_d_2)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_aa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,V_t_2))
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_aa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ca_2),V_d_2)),V_t_2)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(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))
% 26.60/26.84 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.84 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__diff__nat,axiom,
% 26.60/26.84 ! [V_n,V_m,V_k] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_m)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__zdiffD,axiom,
% 26.60/26.84 ! [V_n,V_m,V_k] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_m,V_n))
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k,V_n)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k,V_m) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_uminus__dvd__conv_I2_J,axiom,
% 26.60/26.84 ! [V_t_2,V_d_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,V_t_2)
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_t_2)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_uminus__dvd__conv_I1_J,axiom,
% 26.60/26.84 ! [V_t_2,V_d_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,V_t_2)
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_d_2),V_t_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat__dvd__1__iff__1,axiom,
% 26.60/26.84 ! [V_ma_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 26.60/26.84 <=> V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__reduce,axiom,
% 26.60/26.84 ! [V_n_2,V_ka_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ka_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_ka_2))
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ka_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__mono,axiom,
% 26.60/26.84 ! [V_t_2,V_ma_2,V_ka_2] :
% 26.60/26.84 ( V_ka_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_ma_2,V_t_2)
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),V_t_2)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__antisym__nonneg,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m,V_n)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_n,V_m)
% 26.60/26.84 => V_m = V_n ) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__diffD1,axiom,
% 26.60/26.84 ! [V_n,V_m,V_k] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_m)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__diffD,axiom,
% 26.60/26.84 ! [V_n,V_m,V_k] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_m) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat__dvd__not__less,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_n,V_m) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__not__zless,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_m,V_n)
% 26.60/26.84 => ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_n,V_m) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zdvd__imp__le,axiom,
% 26.60/26.84 ! [V_n,V_z] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_z,V_n)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__imp__le,axiom,
% 26.60/26.84 ! [V_n,V_k] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat__mult__dvd__cancel1,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(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))
% 26.60/26.84 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__mult__cancel,axiom,
% 26.60/26.84 ! [V_n,V_m,V_k] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(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))
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_real__sgn__pos,axiom,
% 26.60/26.84 ! [V_x] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__mult__cancel1,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2),V_ma_2)
% 26.60/26.84 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__mult__cancel2,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ma_2),V_ma_2)
% 26.60/26.84 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__dvd__imp__le,axiom,
% 26.60/26.84 ! [V_n,V_m,V_i] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(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))
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_i)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zsgn__def,axiom,
% 26.60/26.84 ! [V_i] :
% 26.60/26.84 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 26.60/26.84 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 26.60/26.84 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 26.60/26.84 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_real__sgn__def,axiom,
% 26.60/26.84 ! [V_x] :
% 26.60/26.84 ( ( V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
% 26.60/26.84 & ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.84 => ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) )
% 26.60/26.84 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_sgn__real__def,axiom,
% 26.60/26.84 ! [V_a] :
% 26.60/26.84 ( ( V_a = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
% 26.60/26.84 & ( V_a != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 26.60/26.84 => ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) )
% 26.60/26.84 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 26.60/26.84 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_unity__coeff__ex,axiom,
% 26.60/26.84 ! [V_l_2,V_P_2,T_a] :
% 26.60/26.84 ( ( class_Rings_Odvd(T_a)
% 26.60/26.84 & class_Rings_Osemiring__0(T_a) )
% 26.60/26.84 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x)))
% 26.60/26.84 <=> ? [B_x] :
% 26.60/26.84 ( 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)))
% 26.60/26.84 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_order__2,axiom,
% 26.60/26.84 ! [V_a,V_p,T_a] :
% 26.60/26.84 ( class_Rings_Oidom(T_a)
% 26.60/26.84 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.84 => ~ 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_Nat_OSuc(c_Polynomial_Oorder(T_a,V_a,V_p))),V_p) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_order,axiom,
% 26.60/26.84 ! [V_a,V_p,T_a] :
% 26.60/26.84 ( class_Rings_Oidom(T_a)
% 26.60/26.84 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 26.60/26.84 => ( 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)
% 26.60/26.84 & ~ 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_Nat_OSuc(c_Polynomial_Oorder(T_a,V_a,V_p))),V_p) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oorder__refl,axiom,
% 26.60/26.84 ! [V_x] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_x) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__mono,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_lessI,axiom,
% 26.60/26.84 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_zero__less__Suc,axiom,
% 26.60/26.84 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__1__left,axiom,
% 26.60/26.84 ! [V_k] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__1__iff__1,axiom,
% 26.60/26.84 ! [V_ma_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 26.60/26.84 <=> V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oeq__iff,axiom,
% 26.60/26.84 ! [V_y_2,V_x_2] :
% 26.60/26.84 ( V_x_2 = V_y_2
% 26.60/26.84 <=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 26.60/26.84 & c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Ole__less,axiom,
% 26.60/26.84 ! [V_y_2,V_x_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 26.60/26.84 <=> ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) )
% 26.60/26.84 | V_x_2 = V_y_2 ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__le,axiom,
% 26.60/26.84 ! [V_y_2,V_x_2] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) )
% 26.60/26.84 <=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 26.60/26.84 & V_x_2 != V_y_2 ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oneq__le__trans,axiom,
% 26.60/26.84 ! [V_b,V_a] :
% 26.60/26.84 ( V_a != V_b
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oeq__refl,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( V_x = V_y
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oantisym__conv,axiom,
% 26.60/26.84 ! [V_x_2,V_y_2] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 26.60/26.84 <=> V_x_2 = V_y_2 ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 | V_x = V_y ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Ole__neq__trans,axiom,
% 26.60/26.84 ! [V_b,V_a] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 => ( V_a != V_b
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 26.60/26.84 ! [V_c,V_b,V_a] :
% 26.60/26.84 ( V_a = V_b
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_c)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 26.60/26.84 ! [V_c,V_b,V_a] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 => ( V_b = V_c
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd__antisym,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_n,V_m)
% 26.60/26.84 => V_m = V_n ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oantisym,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 26.60/26.84 => V_x = V_y ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oorder__trans,axiom,
% 26.60/26.84 ! [V_z,V_y,V_x] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 26.60/26.84 ! [V_c,V_b,V_a] :
% 26.60/26.84 ( V_a = V_b
% 26.60/26.84 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_c)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_b) )
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_a) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Ole__less__trans,axiom,
% 26.60/26.84 ! [V_z,V_y,V_x] :
% 26.60/26.84 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_y) )
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__imp__neq,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => V_x != V_y ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__not__sym,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__imp__le,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__imp__not__less,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => V_x != V_y ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => V_y != V_x ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 26.60/26.84 ! [V_c,V_b,V_a] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) )
% 26.60/26.84 => ( V_b = V_c
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_a) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__le__trans,axiom,
% 26.60/26.84 ! [V_z,V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__asym_H,axiom,
% 26.60/26.84 ! [V_b,V_a] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) )
% 26.60/26.84 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__trans,axiom,
% 26.60/26.84 ! [V_z,V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_y) )
% 26.60/26.84 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_dvd_Oless__asym,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 26.60/26.84 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 26.60/26.84 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power_Opower_Opower__Suc,axiom,
% 26.60/26.84 ! [V_n_2,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_Nat_OSuc(V_n_2)) = hAPP(hAPP(V_times_2,V_aa_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),V_n_2)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__0__Suc,axiom,
% 26.60/26.84 ! [V_n,T_a] :
% 26.60/26.84 ( ( class_Power_Opower(T_a)
% 26.60/26.84 & class_Rings_Osemiring__0(T_a) )
% 26.60/26.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__Suc2,axiom,
% 26.60/26.84 ! [V_n,V_a,T_a] :
% 26.60/26.84 ( class_Groups_Omonoid__mult(T_a)
% 26.60/26.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__Suc,axiom,
% 26.60/26.84 ! [V_n,V_a,T_a] :
% 26.60/26.84 ( class_Power_Opower(T_a)
% 26.60/26.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(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)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 26.60/26.84 ! [V_q,V_x,T_a] :
% 26.60/26.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.84 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 26.60/26.84 ! [V_q,V_x,T_a] :
% 26.60/26.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.84 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),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_Nat_OSuc(V_q)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 26.60/26.84 ! [V_q,V_x,T_a] :
% 26.60/26.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 26.60/26.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_one__is__add,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 <=> ( ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.84 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 26.60/26.84 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.84 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_add__is__1,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.84 <=> ( ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.84 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 26.60/26.84 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.84 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_mult__eq__1__iff,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.84 <=> ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.84 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__neq__Zero,axiom,
% 26.60/26.84 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Zero__neq__Suc,axiom,
% 26.60/26.84 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat_Osimps_I3_J,axiom,
% 26.60/26.84 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__not__Zero,axiom,
% 26.60/26.84 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat_Osimps_I2_J,axiom,
% 26.60/26.84 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Zero__not__Suc,axiom,
% 26.60/26.84 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_n__not__Suc__n,axiom,
% 26.60/26.84 ! [V_n] : V_n != c_Nat_OSuc(V_n) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__n__not__n,axiom,
% 26.60/26.84 ! [V_n] : c_Nat_OSuc(V_n) != V_n ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat_Oinject,axiom,
% 26.60/26.84 ! [V_nat_H_2,V_nat_2] :
% 26.60/26.84 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2)
% 26.60/26.84 <=> V_nat_2 = V_nat_H_2 ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__inject,axiom,
% 26.60/26.84 ! [V_y,V_x] :
% 26.60/26.84 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y)
% 26.60/26.84 => V_x = V_y ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__mult__cancel1,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.84 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2)
% 26.60/26.84 <=> V_ma_2 = V_n_2 ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_add__Suc__right,axiom,
% 26.60/26.84 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_add__Suc,axiom,
% 26.60/26.84 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_add__Suc__shift,axiom,
% 26.60/26.84 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__eq__plus1,axiom,
% 26.60/26.84 ! [V_n] : c_Nat_OSuc(V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__eq__plus1__left,axiom,
% 26.60/26.84 ! [V_n] : c_Nat_OSuc(V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_mult__Suc__right,axiom,
% 26.60/26.84 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_mult__Suc,axiom,
% 26.60/26.84 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_m)),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_One__nat__def,axiom,
% 26.60/26.84 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__Suc__0,axiom,
% 26.60/26.84 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 26.60/26.84 ! [V_ma_2,V_x_2] :
% 26.60/26.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_ma_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 26.60/26.84 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.84 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__leD,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_le__SucE,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 26.60/26.84 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => V_m = c_Nat_OSuc(V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_le__SucI,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__le__mono,axiom,
% 26.60/26.84 ! [V_ma_2,V_n_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_ma_2))
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_le__Suc__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2))
% 26.60/26.84 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 | V_ma_2 = c_Nat_OSuc(V_n_2) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_not__less__eq__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__n__not__le__n,axiom,
% 26.60/26.84 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__mult__le__cancel1,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2))
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_gr0__conv__Suc,axiom,
% 26.60/26.84 ! [V_n_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 26.60/26.84 <=> ? [B_m] : V_n_2 = c_Nat_OSuc(B_m) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__Suc0,axiom,
% 26.60/26.84 ! [V_n_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 26.60/26.84 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__Suc__eq__0__disj,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2))
% 26.60/26.84 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.84 | ? [B_j] :
% 26.60/26.84 ( V_ma_2 = c_Nat_OSuc(B_j)
% 26.60/26.84 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_nat__lt__two__imp__zero__or__one,axiom,
% 26.60/26.84 ! [V_x] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 26.60/26.84 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 26.60/26.84 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__add__Suc1,axiom,
% 26.60/26.84 ! [V_m,V_i] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_m))) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__add__Suc2,axiom,
% 26.60/26.84 ! [V_m,V_i] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_i))) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__iff__Suc__add,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 <=> ? [B_k] : V_n_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__less__SucD,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__lessD,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__SucE,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 26.60/26.84 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => V_m = V_n ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__trans__Suc,axiom,
% 26.60/26.84 ! [V_k,V_j,V_i] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__lessI,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => ( c_Nat_OSuc(V_m) != V_n
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__SucI,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__antisym,axiom,
% 26.60/26.84 ! [V_m,V_n] :
% 26.60/26.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))
% 26.60/26.84 => V_m = V_n ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_not__less__less__Suc__eq,axiom,
% 26.60/26.84 ! [V_ma_2,V_n_2] :
% 26.60/26.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2))
% 26.60/26.84 <=> V_n_2 = V_ma_2 ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__less__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_n_2))
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__Suc__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2))
% 26.60/26.84 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 | V_ma_2 = V_n_2 ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_not__less__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__mult__less__cancel1,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2,V_ka_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2))
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__eq__Suc__le,axiom,
% 26.60/26.84 ! [V_ma_2,V_n_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_less__Suc__eq__le,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2))
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__le__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),V_n_2)
% 26.60/26.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_le__imp__less__Suc,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__leI,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_le__less__Suc__eq,axiom,
% 26.60/26.84 ! [V_n_2,V_ma_2] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2))
% 26.60/26.84 <=> V_n_2 = V_ma_2 ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__le__lessD,axiom,
% 26.60/26.84 ! [V_n,V_m] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_diff__less__Suc,axiom,
% 26.60/26.84 ! [V_n,V_m] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),c_Nat_OSuc(V_m)) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__diff__le,axiom,
% 26.60/26.84 ! [V_m,V_n] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 26.60/26.84 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_Suc__diff__diff,axiom,
% 26.60/26.84 ! [V_k,V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_k) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_diff__Suc__Suc,axiom,
% 26.60/26.84 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_diff__Suc__1,axiom,
% 26.60/26.84 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 26.60/26.84
% 26.60/26.84 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 26.60/26.84 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__le__imp__le__base,axiom,
% 26.60/26.84 ! [V_b,V_n,V_a,T_a] :
% 26.60/26.84 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n)))
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.84 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__inject__base,axiom,
% 26.60/26.84 ! [V_b,V_n,V_a,T_a] :
% 26.60/26.84 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.84 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 26.60/26.84 => V_a = V_b ) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_power__gt1,axiom,
% 26.60/26.84 ! [V_n,V_a,T_a] :
% 26.60/26.84 ( class_Rings_Olinordered__semidom(T_a)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 26.60/26.84 => 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),c_Nat_OSuc(V_n))) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_realpow__two__disj,axiom,
% 26.60/26.84 ! [V_y_2,V_x_2,T_a] :
% 26.60/26.84 ( class_Rings_Oidom(T_a)
% 26.60/26.84 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 26.60/26.84 <=> ( V_x_2 = V_y_2
% 26.60/26.84 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_one__less__mult,axiom,
% 26.60/26.84 ! [V_m,V_n] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_n__less__n__mult__m,axiom,
% 26.60/26.84 ! [V_m,V_n] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 26.60/26.84
% 26.60/26.84 fof(fact_n__less__m__mult__n,axiom,
% 26.60/26.84 ! [V_m,V_n] :
% 26.60/26.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 26.60/26.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 26.60/26.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 26.60/26.84
% 26.60/26.84 %----Arity declarations (276)
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 26.60/26.84 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 26.60/26.84 ! [T_2,T_1] :
% 26.60/26.84 ( class_Lattices_Oboolean__algebra(T_1)
% 26.60/26.84 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_fun__Orderings_Opreorder,axiom,
% 26.60/26.84 ! [T_2,T_1] :
% 26.60/26.84 ( class_Orderings_Opreorder(T_1)
% 26.60/26.84 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_fun__Orderings_Oorder,axiom,
% 26.60/26.84 ! [T_2,T_1] :
% 26.60/26.84 ( class_Orderings_Oorder(T_1)
% 26.60/26.84 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_fun__Orderings_Oord,axiom,
% 26.60/26.84 ! [T_2,T_1] :
% 26.60/26.84 ( class_Orderings_Oord(T_1)
% 26.60/26.84 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_fun__Groups_Ouminus,axiom,
% 26.60/26.84 ! [T_2,T_1] :
% 26.60/26.84 ( class_Groups_Ouminus(T_1)
% 26.60/26.84 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_fun__Groups_Ominus,axiom,
% 26.60/26.84 ! [T_2,T_1] :
% 26.60/26.84 ( class_Groups_Ominus(T_1)
% 26.60/26.84 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 26.60/26.84 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 26.60/26.84 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 26.60/26.84 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 26.60/26.84 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 26.60/26.84 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 26.60/26.84 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 26.60/26.84 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 26.60/26.84 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 26.60/26.84 class_Orderings_Opreorder(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 26.60/26.84 class_Orderings_Olinorder(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 26.60/26.84 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 26.60/26.84 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 26.60/26.84 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 26.60/26.84 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 26.60/26.84 class_Rings_Omult__zero(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 26.60/26.84 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 26.60/26.84 class_Orderings_Oorder(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 26.60/26.84 class_Int_Oring__char__0(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 26.60/26.84 class_Rings_Osemiring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 26.60/26.84 class_Orderings_Oord(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 26.60/26.84 class_Groups_Ouminus(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 26.60/26.84 class_Groups_Osgn__if(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 26.60/26.84 class_Rings_Oring__1(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 26.60/26.84 class_Groups_Ominus(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Power_Opower,axiom,
% 26.60/26.84 class_Power_Opower(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 26.60/26.84 class_Groups_Ozero(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oring,axiom,
% 26.60/26.84 class_Rings_Oring(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 26.60/26.84 class_Rings_Oidom(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Groups_Oone,axiom,
% 26.60/26.84 class_Groups_Oone(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 26.60/26.84 class_Rings_Odvd(tc_Int_Oint) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 26.60/26.84 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 26.60/26.84 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 26.60/26.84 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 26.60/26.84 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 26.60/26.84 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 26.60/26.84 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 26.60/26.84 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 26.60/26.84 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 26.60/26.84 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 26.60/26.84 class_Orderings_Oorder(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 26.60/26.84 class_Rings_Osemiring(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 26.60/26.84 class_Orderings_Oord(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 26.60/26.84 class_Groups_Ominus(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Power_Opower,axiom,
% 26.60/26.84 class_Power_Opower(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 26.60/26.84 class_Groups_Ozero(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 26.60/26.84 class_Groups_Oone(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 26.60/26.84 class_Rings_Odvd(tc_Nat_Onat) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 26.60/26.84 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 26.60/26.84 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 26.60/26.84 class_Orderings_Oorder(tc_HOL_Obool) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 26.60/26.84 class_Orderings_Oord(tc_HOL_Obool) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 26.60/26.84 class_Groups_Ouminus(tc_HOL_Obool) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 26.60/26.84 class_Groups_Ominus(tc_HOL_Obool) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 26.60/26.84 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
% 26.60/26.84 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
% 26.60/26.84 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 26.60/26.84 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 26.60/26.84 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 26.60/26.84 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
% 26.60/26.84 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
% 26.60/26.84 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 26.60/26.84 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
% 26.60/26.84 class_Fields_Olinordered__field(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 26.60/26.84 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 26.60/26.84 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 26.60/26.84 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
% 26.60/26.84 class_Rings_Odivision__ring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 26.60/26.84 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 26.60/26.84 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 26.60/26.84 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 26.60/26.84 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 26.60/26.84 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 26.60/26.84 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 26.60/26.84 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 26.60/26.84 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 26.60/26.84 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 26.60/26.84 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
% 26.60/26.84 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 26.60/26.84 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 26.60/26.84 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 26.60/26.84 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 26.60/26.84 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
% 26.60/26.84 class_Groups_Ouminus(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom,
% 26.60/26.84 class_Groups_Osgn__if(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 26.60/26.84 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
% 26.60/26.84 class_Groups_Ominus(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
% 26.60/26.84 class_Fields_Ofield(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 26.60/26.84 class_Power_Opower(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 26.60/26.84 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 26.60/26.84 class_Rings_Oring(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
% 26.60/26.84 class_Rings_Oidom(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 26.60/26.84 class_Groups_Oone(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_RealDef__Oreal__Rings_Odvd,axiom,
% 26.60/26.84 class_Rings_Odvd(tc_RealDef_Oreal) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 26.60/26.84 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
% 26.60/26.84 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 26.60/26.84 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
% 26.60/26.84 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 26.60/26.84 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 26.60/26.84 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 26.60/26.84 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
% 26.60/26.84 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 26.60/26.84 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 26.60/26.84 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 26.60/26.84 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 26.60/26.84 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 26.60/26.84 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 26.60/26.84 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 26.60/26.84 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 26.60/26.84 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 26.60/26.84 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 26.60/26.84 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 26.60/26.84 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 26.60/26.84 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 26.60/26.84 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 26.60/26.84 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
% 26.60/26.84 class_Groups_Ominus(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 26.60/26.84 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 26.60/26.84 class_Power_Opower(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 26.60/26.84 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 26.60/26.84 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 26.60/26.84 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 26.60/26.84 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom,
% 26.60/26.84 class_Rings_Odvd(tc_Complex_Ocomplex) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Oidom(T_1)
% 26.60/26.84 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 26.60/26.84 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Oidom(T_1)
% 26.60/26.84 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.84 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 26.60/26.84 ! [T_1] :
% 26.60/26.84 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.84 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.84
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Oidom(T_1)
% 26.60/26.85 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 26.60/26.85 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__0(T_1)
% 26.60/26.85 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Ocomm__monoid__add(T_1)
% 26.60/26.85 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Oidom(T_1)
% 26.60/26.85 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Ocomm__monoid__add(T_1)
% 26.60/26.85 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__0(T_1)
% 26.60/26.85 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__0(T_1)
% 26.60/26.85 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Oab__group__add(T_1)
% 26.60/26.85 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__ring__1(T_1)
% 26.60/26.85 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Ocomm__monoid__add(T_1)
% 26.60/26.85 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__0(T_1)
% 26.60/26.85 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Oab__group__add(T_1)
% 26.60/26.85 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__0(T_1)
% 26.60/26.85 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__ring(T_1)
% 26.60/26.85 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__0(T_1)
% 26.60/26.85 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Oab__group__add(T_1)
% 26.60/26.85 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Olinordered__idom(T_1)
% 26.60/26.85 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__ring__1(T_1)
% 26.60/26.85 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Oab__group__add(T_1)
% 26.60/26.85 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Groups_Ozero(T_1)
% 26.60/26.85 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__ring(T_1)
% 26.60/26.85 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Oidom(T_1)
% 26.60/26.85 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom,
% 26.60/26.85 ! [T_1] :
% 26.60/26.85 ( class_Rings_Ocomm__semiring__1(T_1)
% 26.60/26.85 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ).
% 26.60/26.85
% 26.60/26.85 %----Conjectures (1)
% 26.60/26.85 fof(conj_0,conjecture,
% 26.60/26.85 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____))) ).
% 26.60/26.85
% 26.60/26.85 %------------------------------------------------------------------------------
% 26.60/26.85 %-------------------------------------------
% 26.60/26.85 % Proof found
% 26.60/26.85 % SZS status Theorem for theBenchmark
% 26.60/26.85 % SZS output start Proof
% 26.60/26.85 %ClaNum:1790(EqnAxiom:188)
% 26.60/26.85 %VarNum:8625(SingletonVarNum:3016)
% 26.60/26.85 %MaxLitNum:7
% 26.60/26.85 %MaxfuncDepth:7
% 26.60/26.85 %SharedTerms:381
% 26.60/26.85 %goalClause: 562
% 26.60/26.85 %singleGoalClaCount:1
% 26.60/26.85 [189]P1(a1)
% 26.60/26.85 [190]P1(a2)
% 26.60/26.85 [191]P1(a3)
% 26.60/26.85 [192]P2(a1)
% 26.60/26.85 [193]P2(a4)
% 26.60/26.85 [194]P3(a1)
% 26.60/26.85 [195]P3(a4)
% 26.60/26.85 [196]P45(a1)
% 26.60/26.85 [197]P45(a4)
% 26.60/26.85 [198]P46(a1)
% 26.60/26.85 [199]P46(a4)
% 26.60/26.85 [200]P4(a1)
% 26.60/26.85 [201]P4(a4)
% 26.60/26.85 [202]P11(a1)
% 26.60/26.85 [203]P12(a1)
% 26.60/26.85 [204]P14(a1)
% 26.60/26.85 [205]P14(a4)
% 26.60/26.85 [206]P14(a2)
% 26.60/26.85 [207]P14(a3)
% 26.60/26.85 [208]P59(a1)
% 26.60/26.85 [209]P59(a2)
% 26.60/26.85 [210]P59(a3)
% 26.60/26.85 [211]P66(a1)
% 26.60/26.85 [212]P66(a3)
% 26.60/26.85 [213]P68(a1)
% 26.60/26.85 [214]P68(a2)
% 26.60/26.85 [215]P68(a3)
% 26.60/26.85 [216]P67(a1)
% 26.60/26.85 [217]P67(a2)
% 26.60/26.85 [218]P67(a3)
% 26.60/26.85 [219]P52(a1)
% 26.60/26.85 [220]P52(a3)
% 26.60/26.85 [221]P53(a1)
% 26.60/26.85 [222]P53(a3)
% 26.60/26.85 [223]P27(a1)
% 26.60/26.85 [224]P27(a4)
% 26.60/26.85 [225]P27(a2)
% 26.60/26.85 [226]P27(a3)
% 26.60/26.85 [227]P60(a1)
% 26.60/26.85 [228]P60(a2)
% 26.60/26.85 [229]P60(a3)
% 26.60/26.85 [230]P61(a1)
% 26.60/26.85 [231]P61(a2)
% 26.60/26.85 [232]P61(a3)
% 26.60/26.85 [233]P54(a1)
% 26.60/26.85 [234]P54(a3)
% 26.60/26.85 [235]P44(a1)
% 26.60/26.85 [236]P44(a4)
% 26.60/26.85 [237]P62(a1)
% 26.60/26.85 [238]P62(a3)
% 26.60/26.85 [239]P55(a1)
% 26.60/26.85 [240]P55(a4)
% 26.60/26.85 [241]P63(a1)
% 26.60/26.85 [242]P63(a3)
% 26.60/26.85 [243]P64(a1)
% 26.60/26.85 [244]P64(a4)
% 26.60/26.85 [245]P64(a2)
% 26.60/26.85 [246]P64(a3)
% 26.60/26.85 [247]P69(a1)
% 26.60/26.85 [248]P69(a4)
% 26.60/26.85 [249]P69(a3)
% 26.60/26.85 [250]P65(a1)
% 26.60/26.85 [251]P65(a4)
% 26.60/26.85 [252]P65(a2)
% 26.60/26.85 [253]P65(a3)
% 26.60/26.85 [254]P73(a1)
% 26.60/26.85 [255]P73(a4)
% 26.60/26.85 [256]P73(a2)
% 26.60/26.85 [257]P73(a3)
% 26.60/26.85 [258]P74(a1)
% 26.60/26.85 [259]P74(a4)
% 26.60/26.85 [260]P74(a2)
% 26.60/26.85 [261]P74(a3)
% 26.60/26.85 [262]P47(a1)
% 26.60/26.85 [263]P47(a4)
% 26.60/26.85 [264]P47(a2)
% 26.60/26.85 [265]P47(a3)
% 26.60/26.85 [266]P70(a1)
% 26.60/26.85 [267]P70(a4)
% 26.60/26.85 [268]P70(a3)
% 26.60/26.85 [269]P15(a1)
% 26.60/26.85 [270]P15(a4)
% 26.60/26.85 [271]P15(a2)
% 26.60/26.85 [272]P15(a3)
% 26.60/26.85 [273]P13(a1)
% 26.60/26.85 [274]P13(a4)
% 26.60/26.85 [275]P56(a1)
% 26.60/26.85 [276]P56(a2)
% 26.60/26.85 [277]P56(a3)
% 26.60/26.85 [278]P75(a1)
% 26.60/26.85 [279]P75(a4)
% 26.60/26.85 [280]P75(a2)
% 26.60/26.85 [281]P75(a3)
% 26.60/26.85 [282]P28(a1)
% 26.60/26.85 [283]P28(a2)
% 26.60/26.85 [284]P28(a3)
% 26.60/26.85 [285]P34(a1)
% 26.60/26.85 [286]P34(a4)
% 26.60/26.85 [287]P34(a2)
% 26.60/26.85 [288]P34(a3)
% 26.60/26.85 [289]P16(a1)
% 26.60/26.85 [290]P16(a4)
% 26.60/26.85 [291]P16(a2)
% 26.60/26.85 [292]P16(a3)
% 26.60/26.85 [293]P17(a1)
% 26.60/26.85 [294]P17(a4)
% 26.60/26.85 [295]P17(a2)
% 26.60/26.85 [296]P17(a3)
% 26.60/26.85 [297]P19(a1)
% 26.60/26.85 [298]P19(a4)
% 26.60/26.85 [299]P19(a2)
% 26.60/26.85 [300]P19(a3)
% 26.60/26.85 [301]P20(a1)
% 26.60/26.85 [302]P20(a4)
% 26.60/26.85 [303]P20(a2)
% 26.60/26.85 [304]P20(a3)
% 26.60/26.85 [305]P29(a1)
% 26.60/26.85 [306]P29(a4)
% 26.60/26.85 [307]P29(a2)
% 26.60/26.85 [308]P29(a3)
% 26.60/26.85 [309]P23(a1)
% 26.60/26.85 [310]P23(a4)
% 26.60/26.85 [311]P23(a2)
% 26.60/26.85 [312]P23(a3)
% 26.60/26.85 [313]P22(a1)
% 26.60/26.85 [314]P22(a4)
% 26.60/26.85 [315]P22(a2)
% 26.60/26.85 [316]P22(a3)
% 26.60/26.85 [317]P24(a1)
% 26.60/26.85 [318]P24(a3)
% 26.60/26.85 [319]P30(a1)
% 26.60/26.85 [320]P30(a2)
% 26.60/26.85 [321]P30(a3)
% 26.60/26.85 [322]P31(a1)
% 26.60/26.85 [323]P31(a2)
% 26.60/26.85 [324]P31(a3)
% 26.60/26.85 [325]P33(a1)
% 26.60/26.85 [326]P33(a2)
% 26.60/26.85 [327]P33(a3)
% 26.60/26.85 [328]P25(a1)
% 26.60/26.85 [329]P25(a4)
% 26.60/26.85 [330]P25(a3)
% 26.60/26.85 [331]P18(a1)
% 26.60/26.85 [332]P18(a4)
% 26.60/26.85 [333]P18(a3)
% 26.60/26.85 [334]P32(a1)
% 26.60/26.85 [335]P32(a3)
% 26.60/26.85 [336]P57(a1)
% 26.60/26.85 [337]P57(a4)
% 26.60/26.85 [338]P57(a3)
% 26.60/26.85 [339]P71(a1)
% 26.60/26.85 [340]P71(a4)
% 26.60/26.85 [341]P71(a3)
% 26.60/26.85 [342]P72(a1)
% 26.60/26.85 [343]P72(a4)
% 26.60/26.85 [344]P72(a3)
% 26.60/26.85 [345]P50(a1)
% 26.60/26.85 [346]P50(a4)
% 26.60/26.85 [347]P50(a2)
% 26.60/26.85 [348]P50(a3)
% 26.60/26.85 [349]P76(a1)
% 26.60/26.85 [350]P76(a4)
% 26.60/26.85 [351]P76(a2)
% 26.60/26.85 [352]P76(a3)
% 26.60/26.85 [353]P48(a1)
% 26.60/26.85 [354]P48(a4)
% 26.60/26.85 [355]P48(a3)
% 26.60/26.85 [356]P51(a1)
% 26.60/26.85 [357]P51(a4)
% 26.60/26.85 [358]P51(a2)
% 26.60/26.85 [359]P51(a3)
% 26.60/26.85 [360]P37(a1)
% 26.60/26.85 [361]P37(a4)
% 26.60/26.85 [362]P37(a3)
% 26.60/26.85 [363]P49(a1)
% 26.60/26.85 [364]P49(a4)
% 26.60/26.85 [365]P49(a3)
% 26.60/26.85 [366]P38(a1)
% 26.60/26.85 [367]P38(a2)
% 26.60/26.85 [368]P38(a3)
% 26.60/26.85 [369]P38(a62)
% 26.60/26.85 [370]P39(a1)
% 26.60/26.85 [371]P39(a2)
% 26.60/26.85 [372]P39(a3)
% 26.60/26.85 [373]P39(a62)
% 26.60/26.85 [374]P40(a1)
% 26.60/26.85 [375]P40(a2)
% 26.60/26.85 [376]P40(a3)
% 26.60/26.85 [377]P43(a1)
% 26.60/26.85 [378]P43(a2)
% 26.60/26.85 [379]P43(a3)
% 26.60/26.85 [380]P43(a62)
% 26.60/26.85 [381]P41(a62)
% 26.60/26.85 [382]P26(a1)
% 26.60/26.85 [383]P26(a4)
% 26.60/26.85 [384]P26(a2)
% 26.60/26.85 [385]P26(a3)
% 26.60/26.85 [386]P26(a62)
% 26.60/26.85 [387]P35(a1)
% 26.60/26.85 [388]P35(a4)
% 26.60/26.85 [389]P35(a3)
% 26.60/26.85 [390]P35(a62)
% 26.60/26.85 [391]P36(a1)
% 26.60/26.85 [392]P36(a3)
% 26.60/26.85 [393]P58(a1)
% 26.60/26.85 [394]P58(a4)
% 26.60/26.85 [395]P58(a2)
% 26.60/26.85 [396]P58(a3)
% 26.60/26.85 [397]P21(a1)
% 26.60/26.85 [398]P21(a4)
% 26.60/26.85 [399]P21(a2)
% 26.60/26.85 [400]P21(a3)
% 26.60/26.85 [403]E(f14(a4,a7),f6(a4,a7))
% 26.60/26.85 [404]E(f8(a4,a64),f8(a4,a71))
% 26.60/26.85 [405]E(f8(a4,a26),f8(a4,a64))
% 26.60/26.85 [406]E(f8(a4,a30),f8(a4,a64))
% 26.60/26.85 [418]P6(a1,f5(a1),a65)
% 26.60/26.85 [419]P6(a1,f5(a1),a43)
% 26.60/26.85 [420]P6(a1,f5(a1),a27)
% 26.60/26.85 [432]P6(a3,f5(a3),f10(a3))
% 26.60/26.85 [434]P5(a3,f5(a3),f10(a3))
% 26.60/26.85 [437]P5(a1,f5(a1),f21(a4,a72))
% 26.60/26.85 [526]~E(f5(a4),a72)
% 26.60/26.85 [527]~E(f5(a2),a69)
% 26.60/26.85 [528]~E(f5(a4),a67)
% 26.60/26.85 [529]~E(f5(a4),a7)
% 26.60/26.85 [530]~E(f10(a4),a7)
% 26.60/26.85 [531]~E(f5(a2),a32)
% 26.60/26.85 [532]~E(f5(a4),a38)
% 26.60/26.85 [533]~E(f10(a1),f5(a1))
% 26.60/26.85 [534]~E(f10(a3),f5(a3))
% 26.60/26.85 [551]~P7(a4,a4,f15(a4,a70))
% 26.60/26.85 [552]~P7(a4,a4,f15(a4,a64))
% 26.60/26.85 [554]~P7(a4,a4,f15(a4,a71))
% 26.60/26.85 [401]E(f14(a1,f5(a1)),f5(a1))
% 26.60/26.85 [402]E(f6(a3,f5(a3)),f5(a3))
% 26.60/26.85 [436]E(f42(f15(a4,a71),f5(a4)),f42(f15(a4,a64),a66))
% 26.60/26.85 [466]P6(a2,f12(a2,a69,f10(a2)),f8(a4,a64))
% 26.60/26.85 [518]E(f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4)),f10(a4))
% 26.60/26.85 [520]E(f11(a4,f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67)),f10(a4)),f11(a4,f5(a4),f10(a4)))
% 26.60/26.85 [535]~E(f42(f15(a4,a64),a66),f5(a4))
% 26.60/26.85 [536]~E(f42(f15(a4,a71),f5(a4)),f5(a4))
% 26.60/26.85 [550]~E(f12(a2,a69,f10(a2)),f8(a4,a64))
% 26.60/26.85 [430]E(f42(f42(f9(a4),a7),a7),f6(a4,f10(a4)))
% 26.60/26.85 [469]E(f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67),f6(a4,f10(a4)))
% 26.60/26.85 [502]E(f8(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f8(a4,a71))
% 26.60/26.85 [511]E(f8(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f12(a2,f12(a2,f8(a4,a73),a69),f10(a2)))
% 26.60/26.85 [512]E(f8(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f12(a2,f12(a2,f8(a4,a31),a32),f10(a2)))
% 26.60/26.85 [516]E(f8(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2))))),f12(a2,a69,f10(a2)))
% 26.60/26.85 [559]~P7(a4,a4,f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)))
% 26.60/26.85 [560]~P7(a4,a4,f15(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2))))))
% 26.60/26.85 [504]E(f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67)),f5(a4))
% 26.60/26.85 [505]E(f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a44),a69)),a67)),f5(a4))
% 26.60/26.85 [521]E(f42(f15(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2))))),a33),f5(a4))
% 26.60/26.85 [561]~E(f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),a34),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),a37))
% 26.60/26.85 [562]~P6(a1,f5(a1),f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)))
% 26.60/26.85 [411]P5(a1,x4111,x4111)
% 26.60/26.85 [412]P5(a2,x4121,x4121)
% 26.60/26.85 [413]P5(a3,x4131,x4131)
% 26.60/26.85 [414]P8(a2,x4141,x4141)
% 26.60/26.85 [538]~P6(a2,x5381,x5381)
% 26.60/26.85 [422]E(f11(a2,x4221,x4221),f5(a2))
% 26.60/26.85 [424]P5(a2,f5(a2),x4241)
% 26.60/26.85 [541]~P6(a2,x5411,f5(a2))
% 26.60/26.85 [407]E(f6(a3,f6(a3,x4071)),x4071)
% 26.60/26.85 [408]E(f42(f42(f9(a2),x4081),f10(a2)),x4081)
% 26.60/26.85 [409]E(f42(f42(f9(a3),x4091),f10(a3)),x4091)
% 26.60/26.85 [410]E(f42(f42(f9(a2),x4101),f5(a2)),f5(a2))
% 26.60/26.85 [425]E(f12(a2,x4251,f5(a2)),x4251)
% 26.60/26.85 [426]E(f12(a3,x4261,f5(a3)),x4261)
% 26.60/26.85 [427]E(f11(a2,x4271,f5(a2)),x4271)
% 26.60/26.85 [428]E(f12(a2,f5(a2),x4281),x4281)
% 26.60/26.85 [429]E(f12(a3,f5(a3),x4291),x4291)
% 26.60/26.85 [431]E(f11(a2,f5(a2),x4311),f5(a2))
% 26.60/26.85 [438]E(f12(a3,f6(a3,x4381),x4381),f5(a3))
% 26.60/26.85 [452]P5(a1,f6(a1,f21(a4,x4521)),f21(a4,x4521))
% 26.60/26.85 [459]P6(a2,x4591,f12(a2,x4591,f10(a2)))
% 26.60/26.85 [460]P6(a2,f5(a2),f12(a2,x4601,f10(a2)))
% 26.60/26.85 [462]E(f42(f15(a4,a64),f12(a4,a66,x4621)),f42(f15(a4,a71),x4621))
% 26.60/26.85 [463]E(f42(f15(a4,a64),f12(a4,a66,x4631)),f42(f15(a4,a26),x4631))
% 26.60/26.85 [464]E(f42(f15(a4,a64),f12(a4,a66,x4641)),f42(f15(a4,a30),x4641))
% 26.60/26.85 [465]P8(a2,f12(a2,f5(a2),f10(a2)),x4651)
% 26.60/26.85 [543]~E(f12(a2,x5431,f10(a2)),x5431)
% 26.60/26.85 [549]~E(f12(a2,x5491,f10(a2)),f5(a2))
% 26.60/26.85 [557]~P5(a2,f12(a2,x5571,f10(a2)),x5571)
% 26.60/26.85 [415]E(f42(f42(f9(a1),f10(a1)),x4151),x4151)
% 26.60/26.85 [416]E(f42(f42(f9(a2),f10(a2)),x4161),x4161)
% 26.60/26.85 [417]E(f42(f42(f9(a3),f10(a3)),x4171),x4171)
% 26.60/26.85 [421]E(f42(f42(f9(a2),f5(a2)),x4211),f5(a2))
% 26.60/26.85 [451]P5(a2,x4511,f42(f42(f9(a2),x4511),x4511))
% 26.60/26.85 [489]P5(a1,f21(a4,f42(f15(a4,a64),a66)),f21(a4,f42(f15(a4,a64),x4891)))
% 26.60/26.85 [496]P5(a1,f21(a4,f42(f15(a4,a71),f5(a4))),f21(a4,f42(f15(a4,a64),x4961)))
% 26.60/26.85 [522]E(f42(f42(f9(a4),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x5221)),f42(f15(a4,a71),f5(a4))),f42(f15(a4,a71),x5221))
% 26.60/26.85 [558]~E(f12(a3,f12(a3,f10(a3),x5581),x5581),f5(a3))
% 26.60/26.85 [450]E(f42(f42(f9(a4),a7),f42(f42(f9(a4),a7),x4501)),f6(a4,x4501))
% 26.60/26.85 [483]P5(a2,x4831,f42(f42(f9(a2),x4831),f42(f42(f9(a2),x4831),x4831)))
% 26.60/26.85 [487]E(f42(f42(f22(a2),f12(a2,f5(a2),f10(a2))),x4871),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [524]E(f12(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4)),f42(f42(f9(a4),f42(f42(f22(a4),x5241),a69)),f42(f15(a4,f18(a4,a67,a73)),x5241))),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x5241))
% 26.60/26.85 [525]E(f12(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4)),f42(f42(f9(a4),f42(f42(f22(a4),x5251),a32)),f42(f15(a4,f18(a4,a38,a31)),x5251))),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x5251))
% 26.60/26.85 [442]E(f12(a2,x4421,x4422),f12(a2,x4422,x4421))
% 26.60/26.85 [443]E(f12(a3,x4431,x4432),f12(a3,x4432,x4431))
% 26.60/26.85 [453]P5(a2,x4531,f12(a2,x4532,x4531))
% 26.60/26.85 [454]P5(a2,x4541,f12(a2,x4541,x4542))
% 26.60/26.85 [455]P5(a2,f11(a2,x4551,x4552),x4551)
% 26.60/26.85 [555]~P6(a2,f12(a2,x5551,x5552),x5552)
% 26.60/26.85 [556]~P6(a2,f12(a2,x5561,x5562),x5561)
% 26.60/26.85 [446]E(f12(a1,x4461,f6(a1,x4462)),f11(a1,x4461,x4462))
% 26.60/26.85 [447]E(f12(a4,x4471,f6(a4,x4472)),f11(a4,x4471,x4472))
% 26.60/26.85 [449]E(f12(a3,x4491,f6(a3,x4492)),f11(a3,x4491,x4492))
% 26.60/26.85 [456]E(f11(a2,f12(a2,x4561,x4562),x4562),x4561)
% 26.60/26.85 [457]E(f11(a2,f12(a2,x4571,x4572),x4571),x4572)
% 26.60/26.85 [458]E(f11(a2,x4581,f12(a2,x4581,x4582)),f5(a2))
% 26.60/26.85 [468]E(f12(a3,f6(a3,x4681),f6(a3,x4682)),f6(a3,f12(a3,x4681,x4682)))
% 26.60/26.85 [471]P6(a2,f11(a2,x4711,x4712),f12(a2,x4711,f10(a2)))
% 26.60/26.85 [494]P6(a2,x4941,f12(a2,f12(a2,x4942,x4941),f10(a2)))
% 26.60/26.85 [495]P6(a2,x4951,f12(a2,f12(a2,x4951,x4952),f10(a2)))
% 26.60/26.85 [514]P5(a1,f21(a4,x5141),f12(a1,f21(a4,f12(a4,x5141,x5142)),f21(a4,x5142)))
% 26.60/26.85 [515]P5(a1,f11(a1,f21(a4,f12(a4,x5151,x5152)),f21(a4,x5151)),f21(a4,x5152))
% 26.60/26.85 [439]E(f42(f42(f9(a1),x4391),x4392),f42(f42(f9(a1),x4392),x4391))
% 26.60/26.85 [440]E(f42(f42(f9(a2),x4401),x4402),f42(f42(f9(a2),x4402),x4401))
% 26.60/26.85 [441]E(f42(f42(f9(a3),x4411),x4412),f42(f42(f9(a3),x4412),x4411))
% 26.60/26.85 [482]E(f12(a2,f12(a2,x4821,f10(a2)),x4822),f12(a2,f12(a2,x4821,x4822),f10(a2)))
% 26.60/26.85 [484]E(f11(a2,f11(a2,x4841,f10(a2)),x4842),f11(a2,x4841,f12(a2,x4842,f10(a2))))
% 26.60/26.85 [485]E(f12(a2,f12(a2,x4851,f10(a2)),x4852),f12(a2,x4851,f12(a2,x4852,f10(a2))))
% 26.60/26.85 [467]E(f42(f42(f9(a3),f6(a3,x4671)),x4672),f6(a3,f42(f42(f9(a3),x4671),x4672)))
% 26.60/26.85 [472]E(f42(f42(f9(a2),x4721),f12(a2,x4722,f10(a2))),f12(a2,x4721,f42(f42(f9(a2),x4721),x4722)))
% 26.60/26.85 [488]P5(a1,f6(a1,f42(f42(f9(a1),x4881),x4881)),f42(f42(f9(a1),x4882),x4882))
% 26.60/26.85 [501]E(f42(f42(f9(a2),f12(a2,x5011,f10(a2))),x5012),f12(a2,x5012,f42(f42(f9(a2),x5011),x5012)))
% 26.60/26.85 [473]E(f12(a2,x4731,f12(a2,x4732,x4733)),f12(a2,x4732,f12(a2,x4731,x4733)))
% 26.60/26.85 [474]E(f12(a3,x4741,f12(a3,x4742,x4743)),f12(a3,x4742,f12(a3,x4741,x4743)))
% 26.60/26.85 [475]E(f12(a2,f12(a2,x4751,x4752),x4753),f12(a2,x4751,f12(a2,x4752,x4753)))
% 26.60/26.85 [476]E(f12(a3,f12(a3,x4761,x4762),x4763),f12(a3,x4761,f12(a3,x4762,x4763)))
% 26.60/26.85 [477]E(f11(a2,f11(a2,x4771,x4772),x4773),f11(a2,x4771,f12(a2,x4772,x4773)))
% 26.60/26.85 [478]E(f11(a2,f11(a2,x4781,x4782),x4783),f11(a2,f11(a2,x4781,x4783),x4782))
% 26.60/26.85 [479]E(f11(a2,f12(a2,x4791,x4792),f12(a2,x4793,x4792)),f11(a2,x4791,x4793))
% 26.60/26.85 [480]E(f11(a2,f12(a2,x4801,x4802),f12(a2,x4801,x4803)),f11(a2,x4802,x4803))
% 26.60/26.85 [513]E(f11(a2,f11(a2,f12(a2,x5131,f10(a2)),x5132),f12(a2,x5133,f10(a2))),f11(a2,f11(a2,x5131,x5132),x5133))
% 26.60/26.85 [497]E(f12(a2,f42(f42(f9(a2),x4971),x4972),f42(f42(f9(a2),x4971),x4973)),f42(f42(f9(a2),x4971),f12(a2,x4972,x4973)))
% 26.60/26.85 [498]E(f11(a2,f42(f42(f9(a2),x4981),x4982),f42(f42(f9(a2),x4981),x4983)),f42(f42(f9(a2),x4981),f11(a2,x4982,x4983)))
% 26.60/26.85 [499]E(f12(a3,f42(f42(f9(a3),x4991),x4992),f42(f42(f9(a3),x4991),x4993)),f42(f42(f9(a3),x4991),f12(a3,x4992,x4993)))
% 26.60/26.85 [500]E(f11(a3,f42(f42(f9(a3),x5001),x5002),f42(f42(f9(a3),x5001),x5003)),f42(f42(f9(a3),x5001),f11(a3,x5002,x5003)))
% 26.60/26.85 [503]E(f42(f42(f9(a3),f42(f42(f22(a3),x5031),x5032)),f42(f42(f22(a3),x5031),x5033)),f42(f42(f22(a3),x5031),f12(a2,x5032,x5033)))
% 26.60/26.85 [506]E(f12(a1,f42(f42(f9(a1),x5061),x5062),f42(f42(f9(a1),x5063),x5062)),f42(f42(f9(a1),f12(a1,x5061,x5063)),x5062))
% 26.60/26.85 [507]E(f12(a2,f42(f42(f9(a2),x5071),x5072),f42(f42(f9(a2),x5073),x5072)),f42(f42(f9(a2),f12(a2,x5071,x5073)),x5072))
% 26.60/26.85 [508]E(f11(a2,f42(f42(f9(a2),x5081),x5082),f42(f42(f9(a2),x5083),x5082)),f42(f42(f9(a2),f11(a2,x5081,x5083)),x5082))
% 26.60/26.85 [509]E(f12(a3,f42(f42(f9(a3),x5091),x5092),f42(f42(f9(a3),x5093),x5092)),f42(f42(f9(a3),f12(a3,x5091,x5093)),x5092))
% 26.60/26.85 [510]E(f11(a3,f42(f42(f9(a3),x5101),x5102),f42(f42(f9(a3),x5103),x5102)),f42(f42(f9(a3),f11(a3,x5101,x5103)),x5102))
% 26.60/26.85 [490]E(f42(f42(f9(a1),f42(f42(f9(a1),x4901),x4902)),x4903),f42(f42(f9(a1),x4901),f42(f42(f9(a1),x4902),x4903)))
% 26.60/26.85 [491]E(f42(f42(f9(a2),f42(f42(f9(a2),x4911),x4912)),x4913),f42(f42(f9(a2),x4911),f42(f42(f9(a2),x4912),x4913)))
% 26.60/26.85 [492]E(f42(f42(f9(a3),f42(f42(f9(a3),x4921),x4922)),x4923),f42(f42(f9(a3),x4921),f42(f42(f9(a3),x4922),x4923)))
% 26.60/26.85 [493]E(f42(f42(f22(a3),f42(f42(f22(a3),x4931),x4932)),x4933),f42(f42(f22(a3),x4931),f42(f42(f9(a2),x4932),x4933)))
% 26.60/26.85 [470]E(f42(f42(f23(x4701,x4702,x4703),x4704),f5(a2)),x4702)
% 26.60/26.85 [519]E(f12(a2,f42(f42(f9(a2),x5191),x5192),f12(a2,f42(f42(f9(a2),x5193),x5192),x5194)),f12(a2,f42(f42(f9(a2),f12(a2,x5191,x5193)),x5192),x5194))
% 26.60/26.85 [517]E(f42(f42(f23(x5171,x5172,x5173),x5174),f12(a2,x5175,f10(a2))),f42(f42(x5173,x5174),f42(f42(f23(x5171,x5172,x5173),x5174),x5175)))
% 26.60/26.85 [563]~P54(x5631)+P1(f63(x5631))
% 26.60/26.85 [564]~P50(x5641)+P14(f63(x5641))
% 26.60/26.85 [565]~P54(x5651)+P59(f63(x5651))
% 26.60/26.85 [566]~P54(x5661)+P66(f63(x5661))
% 26.60/26.85 [567]~P54(x5671)+P68(f63(x5671))
% 26.60/26.85 [568]~P54(x5681)+P67(f63(x5681))
% 26.60/26.85 [569]~P54(x5691)+P52(f63(x5691))
% 26.60/26.85 [570]~P54(x5701)+P53(f63(x5701))
% 26.60/26.85 [571]~P50(x5711)+P27(f63(x5711))
% 26.60/26.85 [572]~P54(x5721)+P60(f63(x5721))
% 26.60/26.85 [573]~P54(x5731)+P61(f63(x5731))
% 26.60/26.85 [574]~P54(x5741)+P54(f63(x5741))
% 26.60/26.85 [575]~P54(x5751)+P62(f63(x5751))
% 26.60/26.85 [576]~P54(x5761)+P63(f63(x5761))
% 26.60/26.85 [577]~P57(x5771)+P64(f63(x5771))
% 26.60/26.85 [578]~P57(x5781)+P69(f63(x5781))
% 26.60/26.85 [579]~P51(x5791)+P65(f63(x5791))
% 26.60/26.85 [580]~P50(x5801)+P73(f63(x5801))
% 26.60/26.85 [581]~P51(x5811)+P74(f63(x5811))
% 26.60/26.85 [582]~P51(x5821)+P47(f63(x5821))
% 26.60/26.85 [583]~P57(x5831)+P70(f63(x5831))
% 26.60/26.85 [584]~P50(x5841)+P15(f63(x5841))
% 26.60/26.85 [585]~P54(x5851)+P56(f63(x5851))
% 26.60/26.85 [586]~P51(x5861)+P75(f63(x5861))
% 26.60/26.85 [587]~P54(x5871)+P28(f63(x5871))
% 26.60/26.85 [588]~P34(x5881)+P34(f63(x5881))
% 26.60/26.85 [589]~P51(x5891)+P16(f63(x5891))
% 26.60/26.85 [590]~P22(x5901)+P17(f63(x5901))
% 26.60/26.85 [591]~P21(x5911)+P19(f63(x5911))
% 26.60/26.85 [592]~P21(x5921)+P20(f63(x5921))
% 26.60/26.85 [593]~P50(x5931)+P29(f63(x5931))
% 26.60/26.85 [594]~P22(x5941)+P23(f63(x5941))
% 26.60/26.85 [595]~P22(x5951)+P22(f63(x5951))
% 26.60/26.85 [596]~P54(x5961)+P24(f63(x5961))
% 26.60/26.85 [597]~P54(x5971)+P30(f63(x5971))
% 26.60/26.85 [598]~P54(x5981)+P31(f63(x5981))
% 26.60/26.85 [599]~P54(x5991)+P33(f63(x5991))
% 26.60/26.85 [600]~P18(x6001)+P25(f63(x6001))
% 26.60/26.85 [601]~P18(x6011)+P18(f63(x6011))
% 26.60/26.85 [602]~P54(x6021)+P32(f63(x6021))
% 26.60/26.85 [603]~P57(x6031)+P57(f63(x6031))
% 26.60/26.85 [604]~P49(x6041)+P71(f63(x6041))
% 26.60/26.85 [605]~P48(x6051)+P72(f63(x6051))
% 26.60/26.85 [606]~P50(x6061)+P50(f63(x6061))
% 26.60/26.85 [607]~P57(x6071)+P76(f63(x6071))
% 26.60/26.85 [608]~P48(x6081)+P48(f63(x6081))
% 26.60/26.85 [609]~P51(x6091)+P51(f63(x6091))
% 26.60/26.85 [610]~P54(x6101)+P37(f63(x6101))
% 26.60/26.85 [611]~P49(x6111)+P49(f63(x6111))
% 26.60/26.85 [612]~P54(x6121)+P38(f63(x6121))
% 26.60/26.85 [613]~P54(x6131)+P39(f63(x6131))
% 26.60/26.85 [614]~P54(x6141)+P40(f63(x6141))
% 26.60/26.85 [615]~P54(x6151)+P43(f63(x6151))
% 26.60/26.85 [616]~P18(x6161)+P26(f63(x6161))
% 26.60/26.85 [617]~P18(x6171)+P35(f63(x6171))
% 26.60/26.85 [618]~P54(x6181)+P36(f63(x6181))
% 26.60/26.85 [619]~P50(x6191)+P58(f63(x6191))
% 26.60/26.85 [620]~P21(x6201)+P21(f63(x6201))
% 26.60/26.85 [622]~P73(x6221)+~E(f10(x6221),f5(x6221))
% 26.60/26.85 [624]~E(x6241,f5(a1))+E(f13(a1,x6241),f5(a1))
% 26.60/26.85 [625]~E(x6251,f5(a3))+E(f13(a3,x6251),f5(a3))
% 26.60/26.85 [694]E(x6941,f5(a2))+P6(a2,f5(a2),x6941)
% 26.60/26.85 [734]~P3(x7341)+P6(a1,f5(a1),f45(x7341))
% 26.60/26.85 [748]~P1(x7481)+P6(x7481,f5(x7481),f10(x7481))
% 26.60/26.85 [749]~P1(x7491)+P5(x7491,f5(x7491),f10(x7491))
% 26.60/26.85 [809]E(x8091,f5(a2))+~P5(a2,x8091,f5(a2))
% 26.60/26.85 [810]E(x8101,f10(a2))+~P8(a2,x8101,f10(a2))
% 26.60/26.85 [841]~P6(a1,f5(a1),x8411)+E(f13(a1,x8411),f10(a1))
% 26.60/26.85 [864]~P1(x8641)+~P6(x8641,f10(x8641),f5(x8641))
% 26.60/26.85 [865]~P1(x8651)+~P5(x8651,f10(x8651),f5(x8651))
% 26.60/26.85 [935]~P5(a3,f10(a3),x9351)+P6(a3,f5(a3),x9351)
% 26.60/26.85 [936]~P6(a3,f5(a3),x9361)+P5(a3,f10(a3),x9361)
% 26.60/26.85 [626]~P45(x6261)+E(f21(x6261,f5(x6261)),f5(a1))
% 26.60/26.85 [627]~P44(x6271)+E(f21(x6271,f10(x6271)),f10(a1))
% 26.60/26.85 [630]~P55(x6301)+E(f14(x6301,f5(x6301)),f5(x6301))
% 26.60/26.85 [631]~P13(x6311)+E(f14(x6311,f5(x6311)),f5(x6311))
% 26.60/26.85 [632]~P46(x6321)+E(f14(x6321,f10(x6321)),f10(x6321))
% 26.60/26.85 [633]~P25(x6331)+E(f6(x6331,f5(x6331)),f5(x6331))
% 26.60/26.85 [634]~P45(x6341)+E(f13(x6341,f5(x6341)),f5(x6341))
% 26.60/26.85 [635]~P36(x6351)+E(f13(x6351,f5(x6351)),f5(x6351))
% 26.60/26.85 [636]~P44(x6361)+E(f13(x6361,f10(x6361)),f10(x6361))
% 26.60/26.85 [692]~P54(x6921)+~P9(x6921,f5(f63(x6921)))
% 26.60/26.85 [758]~P27(x7581)+E(f23(x7581,f10(x7581),f9(x7581)),f22(x7581))
% 26.60/26.85 [963]~P6(a2,f5(a2),x9631)+E(f12(a2,f52(x9631),f10(a2)),x9631)
% 26.60/26.85 [1069]~P1(x10691)+P6(x10691,f5(x10691),f12(x10691,f10(x10691),f10(x10691)))
% 26.60/26.85 [1219]~P5(a3,f5(a3),x12191)+P6(a3,f5(a3),f12(a3,f10(a3),x12191))
% 26.60/26.85 [1235]E(x12351,f5(a2))+~P6(a2,x12351,f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1341]~P8(a2,x13411,f12(a2,f5(a2),f10(a2)))+E(x13411,f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [682]~P18(x6821)+E(f6(f63(x6821),f5(f63(x6821))),f5(f63(x6821)))
% 26.60/26.85 [817]~P50(x8171)+E(f18(x8171,f10(x8171),f5(f63(x8171))),f10(f63(x8171)))
% 26.60/26.85 [818]~P34(x8181)+E(f18(x8181,f5(x8181),f5(f63(x8181))),f5(f63(x8181)))
% 26.60/26.85 [833]E(x8331,f5(a1))+E(f42(f42(f9(a1),f14(a1,x8331)),x8331),f10(a1))
% 26.60/26.85 [945]E(x9451,f5(a1))+P6(a1,f5(a1),f42(f42(f9(a1),x9451),x9451))
% 26.60/26.85 [1159]~E(x11591,f5(a1))+~P6(a1,f5(a1),f42(f42(f9(a1),x11591),x11591))
% 26.60/26.85 [1397]~P5(a1,f21(a4,x13971),f21(a4,a72))+P5(a1,f21(a4,f42(f15(a4,a73),x13971)),a65)
% 26.60/26.85 [1398]~P5(a1,f21(a4,x13981),f21(a4,a72))+P5(a1,f21(a4,f42(f15(a4,a73),x13981)),a43)
% 26.60/26.85 [1399]~P5(a1,f21(a4,x13991),f21(a4,a72))+P5(a1,f21(a4,f42(f15(a4,a73),x13991)),a27)
% 26.60/26.85 [1568]~P6(a3,x15681,f5(a3))+P6(a3,f12(a3,f12(a3,f10(a3),x15681),x15681),f5(a3))
% 26.60/26.85 [1686]P6(a3,x16861,f5(a3))+~P6(a3,f12(a3,f12(a3,f10(a3),x16861),x16861),f5(a3))
% 26.60/26.85 [1786]~P6(a1,f21(a4,f42(f15(a4,a71),x17861)),f21(a4,f42(f15(a4,a71),f5(a4))))+P6(a1,f21(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x17861)),f10(a1))
% 26.60/26.85 [1789]P6(a1,f21(a4,f42(f15(a4,a71),x17891)),f21(a4,f42(f15(a4,a71),f5(a4))))+~P6(a1,f21(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x17891)),f10(a1))
% 26.60/26.85 [683]~E(x6831,x6832)+P5(a1,x6831,x6832)
% 26.60/26.85 [686]~E(x6861,x6862)+P5(a2,x6861,x6862)
% 26.60/26.85 [690]~E(x6901,x6902)+P8(a2,x6901,x6902)
% 26.60/26.85 [702]~P38(x7021)+P5(x7021,x7022,x7022)
% 26.60/26.85 [703]~P50(x7031)+P8(x7031,x7032,x7032)
% 26.60/26.85 [778]~E(x7781,x7782)+~P6(a1,x7781,x7782)
% 26.60/26.85 [783]~E(x7831,x7832)+~P6(a2,x7831,x7832)
% 26.60/26.85 [784]~E(x7841,x7842)+~P6(a3,x7841,x7842)
% 26.60/26.85 [813]~P6(x8131,x8132,x8132)+~P38(x8131)
% 26.60/26.85 [848]P5(a1,x8482,x8481)+P5(a1,x8481,x8482)
% 26.60/26.85 [849]P5(a2,x8492,x8491)+P5(a2,x8491,x8492)
% 26.60/26.85 [850]P5(a3,x8502,x8501)+P5(a3,x8501,x8502)
% 26.60/26.85 [907]~P6(a1,x9071,x9072)+P5(a1,x9071,x9072)
% 26.60/26.85 [912]~P6(a2,x9121,x9122)+P5(a2,x9121,x9122)
% 26.60/26.85 [913]~P6(a3,x9131,x9132)+P5(a3,x9131,x9132)
% 26.60/26.85 [647]~P38(x6472)+P38(f68(x6471,x6472))
% 26.60/26.85 [648]~P39(x6482)+P39(f68(x6481,x6482))
% 26.60/26.85 [649]~P43(x6492)+P43(f68(x6491,x6492))
% 26.60/26.85 [650]~P41(x6502)+P41(f68(x6501,x6502))
% 26.60/26.85 [651]~P26(x6512)+P26(f68(x6511,x6512))
% 26.60/26.85 [652]~P35(x6522)+P35(f68(x6521,x6522))
% 26.60/26.85 [713]~P25(x7131)+E(f11(x7131,x7132,x7132),f5(x7131))
% 26.60/26.85 [720]~P50(x7201)+P8(x7201,x7202,f5(x7201))
% 26.60/26.85 [721]~P50(x7211)+P8(x7211,f10(x7211),x7212)
% 26.60/26.85 [739]P5(a3,x7392,x7391)+E(f17(x7391,x7392),f5(a3))
% 26.60/26.85 [757]~E(x7572,f6(a1,x7571))+E(f12(a1,x7571,x7572),f5(a1))
% 26.60/26.85 [790]~E(f12(a2,x7902,x7901),x7902)+E(x7901,f5(a2))
% 26.60/26.85 [792]~P3(x7922)+P6(a1,f5(a1),f46(x7921,x7922))
% 26.60/26.85 [793]~P3(x7932)+P6(a1,f5(a1),f47(x7931,x7932))
% 26.60/26.85 [794]~P45(x7941)+P5(a1,f5(a1),f21(x7941,x7942))
% 26.60/26.85 [797]~P6(a2,x7972,x7971)+~E(x7971,f5(a2))
% 26.60/26.85 [804]E(x8041,f5(a2))+~E(f12(a2,x8042,x8041),f5(a2))
% 26.60/26.85 [805]E(x8051,f5(a2))+~E(f12(a2,x8051,x8052),f5(a2))
% 26.60/26.85 [837]E(x8371,f6(a1,x8372))+~E(f12(a1,x8372,x8371),f5(a1))
% 26.60/26.85 [905]~P45(x9051)+~P6(a1,f21(x9051,x9052),f5(a1))
% 26.60/26.85 [921]~P5(a2,x9211,x9212)+E(f11(a2,x9211,x9212),f5(a2))
% 26.60/26.85 [928]P5(a2,x9281,x9282)+~E(f11(a2,x9281,x9282),f5(a2))
% 26.60/26.85 [956]~P5(a3,x9562,x9561)+E(f11(a3,x9561,x9562),f17(x9561,x9562))
% 26.60/26.85 [967]~P8(a3,x9671,x9672)+P8(a3,x9671,f6(a3,x9672))
% 26.60/26.85 [968]~P8(a3,x9681,x9682)+P8(a3,f6(a3,x9681),x9682)
% 26.60/26.85 [996]P8(a3,x9961,x9962)+~P8(a3,x9961,f6(a3,x9962))
% 26.60/26.85 [997]P8(a3,x9971,x9972)+~P8(a3,f6(a3,x9971),x9972)
% 26.60/26.85 [1177]~P8(a2,x11771,x11772)+P8(a2,x11771,f12(a2,x11772,x11771))
% 26.60/26.85 [1186]~P6(a2,x11862,x11861)+P6(a2,f5(a2),f11(a2,x11861,x11862))
% 26.60/26.85 [1187]~P6(a3,x11871,x11872)+P6(a3,f11(a3,x11871,x11872),f5(a3))
% 26.60/26.85 [1188]~P5(a1,x11881,x11882)+P5(a1,f11(a1,x11881,x11882),f5(a1))
% 26.60/26.85 [1254]~P6(a1,f6(a1,x12541),x12542)+P6(a1,f5(a1),f12(a1,x12541,x12542))
% 26.60/26.85 [1255]~P5(a1,f6(a1,x12551),x12552)+P5(a1,f5(a1),f12(a1,x12551,x12552))
% 26.60/26.85 [1256]~P6(a1,x12562,f6(a1,x12561))+P6(a1,f12(a1,x12561,x12562),f5(a1))
% 26.60/26.85 [1257]~P5(a1,x12572,f6(a1,x12571))+P5(a1,f12(a1,x12571,x12572),f5(a1))
% 26.60/26.85 [1283]P8(a2,x12831,x12832)+~P8(a2,x12831,f12(a2,x12832,x12831))
% 26.60/26.85 [1291]P6(a2,x12911,x12912)+~P6(a2,f5(a2),f11(a2,x12912,x12911))
% 26.60/26.85 [1292]P6(a3,x12921,x12922)+~P6(a3,f11(a3,x12921,x12922),f5(a3))
% 26.60/26.85 [1293]P5(a1,x12931,x12932)+~P5(a1,f11(a1,x12931,x12932),f5(a1))
% 26.60/26.85 [1342]P6(a1,x13421,f6(a1,x13422))+~P6(a1,f12(a1,x13422,x13421),f5(a1))
% 26.60/26.85 [1343]P5(a1,x13431,f6(a1,x13432))+~P5(a1,f12(a1,x13432,x13431),f5(a1))
% 26.60/26.85 [1344]P6(a1,f6(a1,x13441),x13442)+~P6(a1,f5(a1),f12(a1,x13441,x13442))
% 26.60/26.85 [1345]P5(a1,f6(a1,x13451),x13452)+~P5(a1,f5(a1),f12(a1,x13451,x13452))
% 26.60/26.85 [668]~P55(x6681)+E(f14(x6681,f14(x6681,x6682)),x6682)
% 26.60/26.85 [669]~P25(x6691)+E(f6(x6691,f6(x6691,x6692)),x6692)
% 26.60/26.85 [670]~P41(x6701)+E(f6(x6701,f6(x6701,x6702)),x6702)
% 26.60/26.85 [700]~P45(x7001)+E(f21(x7001,f6(x7001,x7002)),f21(x7001,x7002))
% 26.60/26.85 [701]~P54(x7011)+E(f13(x7011,f13(x7011,x7012)),f13(x7011,x7012))
% 26.60/26.85 [706]~P14(x7061)+E(f42(f42(f22(x7061),x7062),f10(a2)),x7062)
% 26.60/26.85 [707]~P50(x7071)+E(f42(f42(f22(x7071),x7072),f10(a2)),x7072)
% 26.60/26.85 [714]~P14(x7141)+E(f42(f42(f9(x7141),x7142),f10(x7141)),x7142)
% 26.60/26.85 [715]~P15(x7151)+E(f42(f42(f9(x7151),x7152),f10(x7151)),x7152)
% 26.60/26.85 [716]~P50(x7161)+E(f42(f42(f9(x7161),x7162),f10(x7161)),x7162)
% 26.60/26.85 [717]~P27(x7171)+E(f42(f42(f22(x7171),x7172),f5(a2)),f10(x7171))
% 26.60/26.85 [718]~P50(x7181)+E(f42(f42(f22(x7181),x7182),f5(a2)),f10(x7181))
% 26.60/26.85 [722]~P23(x7221)+E(f12(x7221,x7222,f5(x7221)),x7222)
% 26.60/26.85 [723]~P22(x7231)+E(f12(x7231,x7232,f5(x7231)),x7232)
% 26.60/26.85 [724]~P50(x7241)+E(f12(x7241,x7242,f5(x7241)),x7242)
% 26.60/26.85 [725]~P25(x7251)+E(f11(x7251,x7252,f5(x7251)),x7252)
% 26.60/26.85 [726]~P23(x7261)+E(f12(x7261,f5(x7261),x7262),x7262)
% 26.60/26.85 [727]~P22(x7271)+E(f12(x7271,f5(x7271),x7272),x7272)
% 26.60/26.85 [728]~P50(x7281)+E(f12(x7281,f5(x7281),x7282),x7282)
% 26.60/26.85 [729]~P50(x7291)+E(f24(x7291,f10(x7291),x7292),x7292)
% 26.60/26.85 [736]~P3(x7361)+E(f42(f42(f9(x7361),x7362),f5(x7361)),f5(x7361))
% 26.60/26.85 [737]~P65(x7371)+E(f42(f42(f9(x7371),x7372),f5(x7371)),f5(x7371))
% 26.60/26.85 [738]~P50(x7381)+E(f42(f42(f9(x7381),x7382),f5(x7381)),f5(x7381))
% 26.60/26.85 [759]~P51(x7591)+E(f24(x7591,f5(x7591),x7592),f5(f63(x7591)))
% 26.60/26.85 [760]~P34(x7601)+E(f16(x7601,f5(x7601),x7602),f5(f63(x7601)))
% 26.60/26.85 [767]~P25(x7671)+E(f11(x7671,f5(x7671),x7672),f6(x7671,x7672))
% 26.60/26.85 [769]~E(x7691,x7692)+E(f12(a1,x7691,f6(a1,x7692)),f5(a1))
% 26.60/26.85 [776]~P55(x7761)+E(f14(x7761,f6(x7761,x7762)),f6(x7761,f14(x7761,x7762)))
% 26.60/26.85 [777]~P45(x7771)+E(f13(x7771,f6(x7771,x7772)),f6(x7771,f13(x7771,x7772)))
% 26.60/26.85 [806]~P25(x8061)+E(f12(x8061,x8062,f6(x8061,x8062)),f5(x8061))
% 26.60/26.85 [807]~P25(x8071)+E(f12(x8071,f6(x8071,x8072),x8072),f5(x8071))
% 26.60/26.85 [808]~P18(x8081)+E(f12(x8081,f6(x8081,x8082),x8082),f5(x8081))
% 26.60/26.85 [898]E(x8981,x8982)+~E(f12(a1,x8981,f6(a1,x8982)),f5(a1))
% 26.60/26.85 [902]E(x9021,x9022)+~E(f42(x9021,f39(x9022,x9021)),f42(x9022,f39(x9022,x9021)))
% 26.60/26.85 [938]P6(a2,f5(a2),x9381)+~E(x9381,f12(a2,x9382,f10(a2)))
% 26.60/26.85 [969]~P5(a2,x9691,x9692)+E(f12(a2,x9691,f51(x9692,x9691)),x9692)
% 26.60/26.85 [970]~P5(a2,x9701,x9702)+E(f12(a2,x9701,f59(x9702,x9701)),x9702)
% 26.60/26.85 [973]~E(x9731,x9732)+P6(a2,x9731,f12(a2,x9732,f10(a2)))
% 26.60/26.85 [974]~E(x9741,x9742)+P6(a3,x9741,f12(a3,x9742,f10(a3)))
% 26.60/26.85 [977]~E(x9771,f5(a2))+P6(a2,x9771,f12(a2,x9772,f10(a2)))
% 26.60/26.85 [1024]~P1(x10241)+P6(x10241,x10242,f12(x10241,x10242,f10(x10241)))
% 26.60/26.85 [1097]P6(a2,x10972,x10971)+E(f12(a2,x10971,f11(a2,x10972,x10971)),x10972)
% 26.60/26.85 [1115]P6(a2,x11151,x11152)+P6(a2,x11152,f12(a2,x11151,f10(a2)))
% 26.60/26.85 [1116]P5(a2,x11161,x11162)+P5(a2,f12(a2,x11162,f10(a2)),x11161)
% 26.60/26.85 [1182]~P5(a2,x11821,x11822)+E(f12(a2,x11821,f11(a2,x11822,x11821)),x11822)
% 26.60/26.85 [1183]~P5(a2,x11832,x11831)+E(f11(a2,x11831,f11(a2,x11831,x11832)),x11832)
% 26.60/26.85 [1184]~P5(a2,x11842,x11841)+E(f12(a2,f11(a2,x11841,x11842),x11842),x11841)
% 26.60/26.85 [1192]~P5(a2,x11921,x11922)+P6(a2,x11921,f12(a2,x11922,f10(a2)))
% 26.60/26.85 [1193]~P6(a3,x11931,x11932)+P6(a3,x11931,f12(a3,x11932,f10(a3)))
% 26.60/26.85 [1194]~P5(a3,x11941,x11942)+P6(a3,x11941,f12(a3,x11942,f10(a3)))
% 26.60/26.85 [1197]~P6(a3,x11971,x11972)+P5(a3,x11971,f11(a3,x11972,f10(a3)))
% 26.60/26.85 [1200]~P6(a2,x12001,x12002)+P5(a2,f12(a2,x12001,f10(a2)),x12002)
% 26.60/26.85 [1202]~P6(a3,x12021,x12022)+P5(a3,f12(a3,x12021,f10(a3)),x12022)
% 26.60/26.85 [1280]~P6(a2,x12801,x12802)+E(f12(a2,f12(a2,x12801,f55(x12802,x12801)),f10(a2)),x12802)
% 26.60/26.85 [1299]P6(a3,x12991,x12992)+~P5(a3,x12991,f11(a3,x12992,f10(a3)))
% 26.60/26.85 [1300]P5(a2,x13001,x13002)+~P6(a2,x13001,f12(a2,x13002,f10(a2)))
% 26.60/26.85 [1301]P5(a3,x13011,x13012)+~P6(a3,x13011,f12(a3,x13012,f10(a3)))
% 26.60/26.85 [1305]P6(a2,x13051,x13052)+~P5(a2,f12(a2,x13051,f10(a2)),x13052)
% 26.60/26.85 [1306]P6(a3,x13061,x13062)+~P5(a3,f12(a3,x13061,f10(a3)),x13062)
% 26.60/26.85 [1367]~P6(a2,x13671,x13672)+~P6(a2,x13672,f12(a2,x13671,f10(a2)))
% 26.60/26.85 [1368]~P5(a2,x13681,x13682)+~P5(a2,f12(a2,x13682,f10(a2)),x13681)
% 26.60/26.85 [1574]P6(a2,x15741,x15742)+~P6(a2,f12(a2,x15741,f10(a2)),f12(a2,x15742,f10(a2)))
% 26.60/26.85 [1575]P5(a2,x15751,x15752)+~P5(a2,f12(a2,x15751,f10(a2)),f12(a2,x15752,f10(a2)))
% 26.60/26.85 [676]~E(x6762,f5(a2))+E(f42(f42(f9(a2),x6761),x6762),f5(a2))
% 26.60/26.85 [678]~E(x6781,f5(a2))+E(f42(f42(f9(a2),x6781),x6782),f5(a2))
% 26.60/26.85 [679]~E(x6792,f5(a2))+E(f42(f42(f22(a2),x6791),x6792),f10(a2))
% 26.60/26.85 [696]~P42(x6961)+E(f42(f42(f9(x6961),x6962),x6962),x6962)
% 26.60/26.85 [745]~P14(x7451)+E(f42(f42(f9(x7451),f10(x7451)),x7452),x7452)
% 26.60/26.85 [746]~P15(x7461)+E(f42(f42(f9(x7461),f10(x7461)),x7462),x7462)
% 26.60/26.85 [747]~P50(x7471)+E(f42(f42(f9(x7471),f10(x7471)),x7472),x7472)
% 26.60/26.85 [753]~P3(x7531)+E(f42(f42(f9(x7531),f5(x7531)),x7532),f5(x7531))
% 26.60/26.85 [754]~P65(x7541)+E(f42(f42(f9(x7541),f5(x7541)),x7542),f5(x7541))
% 26.60/26.85 [755]~P50(x7551)+E(f42(f42(f9(x7551),f5(x7551)),x7552),f5(x7551))
% 26.60/26.85 [756]~P14(x7561)+E(f42(f42(f22(x7561),f10(x7561)),x7562),f10(x7561))
% 26.60/26.85 [765]E(x7651,f10(a2))+~E(f42(f42(f9(a2),x7652),x7651),f10(a2))
% 26.60/26.85 [766]E(x7661,f10(a2))+~E(f42(f42(f9(a2),x7661),x7662),f10(a2))
% 26.60/26.85 [773]~P22(x7731)+E(f12(f63(x7731),x7732,f5(f63(x7731))),x7732)
% 26.60/26.85 [774]~P18(x7741)+E(f11(f63(x7741),x7742,f5(f63(x7741))),x7742)
% 26.60/26.85 [775]~P22(x7751)+E(f12(f63(x7751),f5(f63(x7751)),x7752),x7752)
% 26.60/26.85 [800]~P51(x8001)+E(f24(x8001,x8002,f5(f63(x8001))),f5(f63(x8001)))
% 26.60/26.85 [801]~P51(x8011)+E(f25(x8011,f5(f63(x8011)),x8012),f5(f63(x8011)))
% 26.60/26.85 [802]~P51(x8021)+E(f20(x8021,f5(f63(x8021)),x8022),f5(f63(x8021)))
% 26.60/26.85 [844]~P18(x8441)+E(f11(f63(x8441),f5(f63(x8441)),x8442),f6(f63(x8441),x8442))
% 26.60/26.85 [861]~E(x8612,f5(a2))+E(f42(f42(f22(a2),x8611),x8612),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [863]~P51(x8631)+E(f42(f42(f9(f63(x8631)),x8632),f5(f63(x8631))),f5(f63(x8631)))
% 26.60/26.85 [916]~P34(x9161)+E(f18(x9161,x9162,f5(f63(x9161))),f16(x9161,x9162,f5(a2)))
% 26.60/26.85 [965]~E(x9652,f5(a2))+P6(a2,f5(a2),f42(f42(f22(a2),x9651),x9652))
% 26.60/26.85 [994]~P53(x9941)+P5(x9941,f5(x9941),f42(f42(f9(x9941),x9942),x9942))
% 26.60/26.85 [1070]~E(x10701,f12(a2,f5(a2),f10(a2)))+E(f42(f42(f22(a2),x10701),x10702),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1129]E(x11291,f12(a2,f5(a2),f10(a2)))+~E(f42(f42(f9(a2),x11292),x11291),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1130]E(x11301,f12(a2,f5(a2),f10(a2)))+~E(f42(f42(f9(a2),x11301),x11302),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1156]~P6(a2,f5(a2),x11561)+P6(a2,f5(a2),f42(f42(f22(a2),x11561),x11562))
% 26.60/26.85 [1157]~P5(a3,f5(a3),x11571)+P5(a3,f5(a3),f42(f42(f22(a3),x11571),x11572))
% 26.60/26.85 [1226]~P53(x12261)+~P6(x12261,f42(f42(f9(x12261),x12262),x12262),f5(x12261))
% 26.60/26.85 [1263]P6(a2,f5(a2),x12631)+~P6(a2,f5(a2),f42(f42(f9(a2),x12632),x12631))
% 26.60/26.85 [1264]P6(a2,f5(a2),x12641)+~P6(a2,f5(a2),f42(f42(f9(a2),x12641),x12642))
% 26.60/26.85 [1662]~P72(x16621)+E(f42(f42(f9(x16621),f12(x16621,x16622,f10(x16621))),f11(x16621,x16622,f10(x16621))),f11(x16621,f42(f42(f9(x16621),x16622),x16622),f10(x16621)))
% 26.60/26.85 [785]~P51(x7851)+E(f42(f15(x7851,f5(f63(x7851))),x7852),f5(x7851))
% 26.60/26.85 [786]~P50(x7861)+E(f42(f15(x7861,f10(f63(x7861))),x7862),f10(x7861))
% 26.60/26.85 [903]~P51(x9031)+E(f42(f42(f9(f63(x9031)),f5(f63(x9031))),x9032),f5(f63(x9031)))
% 26.60/26.85 [944]~P48(x9441)+E(f42(f42(f9(x9441),f6(x9441,f10(x9441))),x9442),f6(x9441,x9442))
% 26.60/26.85 [1439]E(x14391,f5(a1))+~E(f12(a1,f42(f42(f9(a1),x14392),x14392),f42(f42(f9(a1),x14391),x14391)),f5(a1))
% 26.60/26.85 [1440]E(x14401,f5(a1))+~E(f12(a1,f42(f42(f9(a1),x14401),x14401),f42(f42(f9(a1),x14402),x14402)),f5(a1))
% 26.60/26.85 [1442]~P50(x14421)+E(f12(x14421,x14422,x14422),f42(f42(f9(x14421),f12(x14421,f10(x14421),f10(x14421))),x14422))
% 26.60/26.85 [1466]E(x14661,f5(a2))+E(f42(f42(f9(a2),x14662),f42(f42(f22(a2),x14662),f11(a2,x14661,f10(a2)))),f42(f42(f22(a2),x14662),x14661))
% 26.60/26.85 [1683]E(x16831,f5(a2))+E(f12(a2,x16832,f42(f42(f9(a2),f11(a2,x16831,f10(a2))),x16832)),f42(f42(f9(a2),x16831),x16832))
% 26.60/26.85 [872]~P50(x8721)+E(f12(x8721,x8722,x8723),f12(x8721,x8723,x8722))
% 26.60/26.85 [918]P5(a2,x9181,x9182)+~E(x9182,f12(a2,x9181,x9183))
% 26.60/26.85 [975]E(x9751,x9752)+~E(f12(a2,x9753,x9751),f12(a2,x9753,x9752))
% 26.60/26.85 [976]E(x9761,x9762)+~E(f12(a2,x9761,x9763),f12(a2,x9762,x9763))
% 26.60/26.85 [1170]~P6(a2,x11701,x11703)+P6(a2,x11701,f12(a2,x11702,x11703))
% 26.60/26.85 [1172]~P6(a2,x11721,x11722)+P6(a2,x11721,f12(a2,x11722,x11723))
% 26.60/26.85 [1174]~P5(a2,x11741,x11743)+P5(a2,x11741,f12(a2,x11742,x11743))
% 26.60/26.85 [1176]~P5(a2,x11761,x11762)+P5(a2,x11761,f12(a2,x11762,x11763))
% 26.60/26.85 [1178]~P6(a2,x11781,x11783)+P6(a2,f11(a2,x11781,x11782),x11783)
% 26.60/26.85 [1211]~P6(a1,f5(a1),x12113)+P6(a1,f5(a1),f49(x12111,x12112,x12113))
% 26.60/26.85 [1284]P6(a2,x12841,x12842)+~P6(a2,f12(a2,x12841,x12843),x12842)
% 26.60/26.85 [1287]P5(a2,x12871,x12872)+~P5(a2,f12(a2,x12873,x12871),x12872)
% 26.60/26.85 [1288]P5(a2,x12881,x12882)+~P5(a2,f12(a2,x12881,x12883),x12882)
% 26.60/26.85 [1373]~P6(a2,x13732,x13733)+P6(a2,f12(a2,x13731,x13732),f12(a2,x13731,x13733))
% 26.60/26.85 [1374]~P6(a2,x13741,x13743)+P6(a2,f12(a2,x13741,x13742),f12(a2,x13743,x13742))
% 26.60/26.85 [1375]~P6(a3,x13751,x13753)+P6(a3,f12(a3,x13751,x13752),f12(a3,x13753,x13752))
% 26.60/26.85 [1376]~P5(a1,x13762,x13763)+P5(a1,f12(a1,x13761,x13762),f12(a1,x13761,x13763))
% 26.60/26.85 [1377]~P5(a2,x13772,x13773)+P5(a2,f12(a2,x13771,x13772),f12(a2,x13771,x13773))
% 26.60/26.85 [1378]~P5(a2,x13781,x13783)+P5(a2,f12(a2,x13781,x13782),f12(a2,x13783,x13782))
% 26.60/26.85 [1379]~P5(a2,x13793,x13792)+P5(a2,f11(a2,x13791,x13792),f11(a2,x13791,x13793))
% 26.60/26.85 [1380]~P5(a2,x13801,x13803)+P5(a2,f11(a2,x13801,x13802),f11(a2,x13803,x13802))
% 26.60/26.85 [1381]~P5(a3,x13812,x13813)+P5(a3,f12(a3,x13811,x13812),f12(a3,x13811,x13813))
% 26.60/26.85 [1462]~P6(a2,f12(a2,x14621,x14623),x14622)+P6(a2,x14621,f11(a2,x14622,x14623))
% 26.60/26.85 [1463]~P5(a2,f11(a2,x14631,x14633),x14632)+P5(a2,x14631,f12(a2,x14632,x14633))
% 26.60/26.85 [1464]~P6(a2,x14641,f11(a2,x14643,x14642))+P6(a2,f12(a2,x14641,x14642),x14643)
% 26.60/26.85 [1465]~P5(a2,x14651,f12(a2,x14653,x14652))+P5(a2,f11(a2,x14651,x14652),x14653)
% 26.60/26.85 [1563]P6(a2,x15631,x15632)+~P6(a2,f12(a2,x15633,x15631),f12(a2,x15633,x15632))
% 26.60/26.85 [1564]P5(a2,x15641,x15642)+~P5(a2,f12(a2,x15643,x15641),f12(a2,x15643,x15642))
% 26.60/26.85 [880]P7(x8801,x8802,x8803)+~E(f42(x8803,f57(x8803)),f42(x8803,f58(x8803)))
% 26.60/26.85 [930]~P25(x9301)+E(f12(x9301,x9302,f6(x9301,x9303)),f11(x9301,x9302,x9303))
% 26.60/26.85 [931]~P18(x9311)+E(f12(x9311,x9312,f6(x9311,x9313)),f11(x9311,x9312,x9313))
% 26.60/26.85 [932]~P48(x9321)+E(f12(x9321,x9322,f6(x9321,x9323)),f11(x9321,x9322,x9323))
% 26.60/26.85 [933]~P25(x9331)+E(f11(x9331,x9332,f6(x9331,x9333)),f12(x9331,x9332,x9333))
% 26.60/26.85 [980]~P25(x9801)+E(f12(x9801,f11(x9801,x9802,x9803),x9803),x9802)
% 26.60/26.85 [981]~P25(x9811)+E(f11(x9811,f12(x9811,x9812,x9813),x9813),x9812)
% 26.60/26.85 [1029]~P18(x10291)+E(f6(x10291,f11(x10291,x10292,x10293)),f11(x10291,x10293,x10292))
% 26.60/26.85 [1068]~P25(x10681)+E(f12(x10681,f6(x10681,x10682),f12(x10681,x10682,x10683)),x10683)
% 26.60/26.85 [1103]~P49(x11031)+E(f6(f63(x11031),f24(x11031,x11032,x11033)),f24(x11031,f6(x11031,x11032),x11033))
% 26.60/26.85 [1104]~P18(x11041)+E(f6(f63(x11041),f16(x11041,x11042,x11043)),f16(x11041,f6(x11041,x11042),x11043))
% 26.60/26.85 [1143]~P25(x11431)+E(f12(x11431,f6(x11431,x11432),f6(x11431,x11433)),f6(x11431,f12(x11431,x11433,x11432)))
% 26.60/26.85 [1144]~P18(x11441)+E(f12(x11441,f6(x11441,x11442),f6(x11441,x11443)),f6(x11441,f12(x11441,x11442,x11443)))
% 26.60/26.85 [1145]~P18(x11451)+E(f11(x11451,f6(x11451,x11452),f6(x11451,x11453)),f6(x11451,f11(x11451,x11452,x11453)))
% 26.60/26.85 [1207]~P45(x12071)+E(f21(x12071,f11(x12071,x12072,x12073)),f21(x12071,f11(x12071,x12073,x12072)))
% 26.60/26.85 [1296]P6(a2,x12961,x12962)+~E(x12962,f12(a2,f12(a2,x12961,x12963),f10(a2)))
% 26.60/26.85 [1457]~P5(a2,x14572,x14573)+E(f11(a2,f12(a2,x14571,x14572),x14573),f11(a2,x14571,f11(a2,x14573,x14572)))
% 26.60/26.85 [1458]~P5(a2,x14583,x14582)+E(f12(a2,x14581,f11(a2,x14582,x14583)),f11(a2,f12(a2,x14581,x14582),x14583))
% 26.60/26.85 [1460]~P5(a2,x14602,x14601)+E(f12(a2,f11(a2,x14601,x14602),x14603),f11(a2,f12(a2,x14601,x14603),x14602))
% 26.60/26.85 [1529]~P5(a2,x15293,x15292)+P5(a2,x15291,f11(a2,f12(a2,x15292,x15291),x15293))
% 26.60/26.85 [1596]~P45(x15961)+P5(a1,f21(x15961,f12(x15961,x15962,x15963)),f12(a1,f21(x15961,x15962),f21(x15961,x15963)))
% 26.60/26.85 [1597]~P45(x15971)+P5(a1,f21(x15971,f11(x15971,x15972,x15973)),f12(a1,f21(x15971,x15972),f21(x15971,x15973)))
% 26.60/26.85 [1598]~P45(x15981)+P5(a1,f11(a1,f21(x15981,x15982),f21(x15981,x15983)),f21(x15981,f12(x15981,x15982,x15983)))
% 26.60/26.85 [1599]~P45(x15991)+P5(a1,f11(a1,f21(x15991,x15992),f21(x15991,x15993)),f21(x15991,f11(x15991,x15992,x15993)))
% 26.60/26.85 [1772]~P57(x17721)+P8(f63(x17721),f42(f42(f22(f63(x17721)),f18(x17721,f6(x17721,x17722),f18(x17721,f10(x17721),f5(f63(x17721))))),f19(x17721,x17722,x17723)),x17723)
% 26.60/26.85 [830]~E(x8302,f5(a2))+E(f42(f42(f9(a2),x8301),x8302),f42(f42(f9(a2),x8303),x8302))
% 26.60/26.85 [832]~E(x8321,f5(a2))+E(f42(f42(f9(a2),x8321),x8322),f42(f42(f9(a2),x8321),x8323))
% 26.60/26.85 [862]~P50(x8621)+E(f42(f42(f9(x8621),x8622),x8623),f42(f42(f9(x8621),x8623),x8622))
% 26.60/26.85 [971]~P50(x9711)+P8(x9711,x9712,f42(f42(f9(x9711),x9713),x9712))
% 26.60/26.85 [972]~P50(x9721)+P8(x9721,x9722,f42(f42(f9(x9721),x9722),x9723))
% 26.60/26.85 [1043]~P71(x10431)+E(f42(f42(f9(x10431),f6(x10431,x10432)),x10433),f42(f42(f9(x10431),x10432),f6(x10431,x10433)))
% 26.60/26.85 [1044]~P71(x10441)+E(f42(f42(f9(x10441),f6(x10441,x10442)),f6(x10441,x10443)),f42(f42(f9(x10441),x10442),x10443))
% 26.60/26.85 [1124]~P25(x11241)+E(f12(x11241,x11242,f12(x11241,f6(x11241,x11242),x11243)),x11243)
% 26.60/26.85 [1133]~P49(x11331)+E(f24(x11331,x11332,f6(f63(x11331),x11333)),f6(f63(x11331),f24(x11331,x11332,x11333)))
% 26.60/26.85 [1164]~E(x11641,f5(a2))+P8(a2,f42(f42(f9(a2),x11641),x11642),f42(f42(f9(a2),x11641),x11643))
% 26.60/26.85 [1213]~P18(x12131)+E(f18(x12131,f6(x12131,x12132),f6(f63(x12131),x12133)),f6(f63(x12131),f18(x12131,x12132,x12133)))
% 26.60/26.85 [1267]P6(a2,f5(a2),x12671)+P5(a2,f42(f42(f9(a2),x12672),x12671),f42(f42(f9(a2),x12673),x12671))
% 26.60/26.85 [1268]P6(a2,f5(a2),x12681)+P5(a2,f42(f42(f9(a2),x12681),x12682),f42(f42(f9(a2),x12681),x12683))
% 26.60/26.85 [1315]~P5(a2,x13152,x13153)+P5(a2,f42(f42(f9(a2),x13151),x13152),f42(f42(f9(a2),x13151),x13153))
% 26.60/26.85 [1317]~P5(a2,x13171,x13173)+P5(a2,f42(f42(f9(a2),x13171),x13172),f42(f42(f9(a2),x13173),x13172))
% 26.60/26.85 [1318]~P8(a2,x13182,x13183)+P8(a2,f42(f42(f9(a2),x13181),x13182),f42(f42(f9(a2),x13181),x13183))
% 26.60/26.85 [1489]P6(a2,x14891,x14892)+~P6(a2,f42(f42(f9(a2),x14893),x14891),f42(f42(f9(a2),x14893),x14892))
% 26.60/26.85 [1490]P6(a2,x14901,x14902)+~P6(a2,f42(f42(f9(a2),x14901),x14903),f42(f42(f9(a2),x14902),x14903))
% 26.60/26.85 [1494]P6(a2,f5(a2),x14941)+~P6(a2,f42(f42(f9(a2),x14942),x14941),f42(f42(f9(a2),x14943),x14941))
% 26.60/26.85 [1495]P6(a2,f5(a2),x14951)+~P6(a2,f42(f42(f9(a2),x14951),x14952),f42(f42(f9(a2),x14951),x14953))
% 26.60/26.85 [1672]~P51(x16721)+E(f18(x16721,f42(f15(x16721,x16722),x16723),f25(x16721,x16722,x16723)),f12(f63(x16721),x16722,f24(x16721,x16723,f25(x16721,x16722,x16723))))
% 26.60/26.85 [1077]~P71(x10771)+E(f42(f42(f9(x10771),x10772),f6(x10771,x10773)),f6(x10771,f42(f42(f9(x10771),x10772),x10773)))
% 26.60/26.85 [1079]~P3(x10791)+E(f42(f42(f9(x10791),x10792),f6(x10791,x10793)),f6(x10791,f42(f42(f9(x10791),x10792),x10793)))
% 26.60/26.85 [1102]~P42(x11021)+E(f42(f42(f9(x11021),x11022),f42(f42(f9(x11021),x11022),x11023)),f42(f42(f9(x11021),x11022),x11023))
% 26.60/26.85 [1114]~P49(x11141)+E(f42(f15(x11141,f6(f63(x11141),x11142)),x11143),f6(x11141,f42(f15(x11141,x11142),x11143)))
% 26.60/26.85 [1125]~P2(x11251)+E(f21(x11251,f42(f42(f22(x11251),x11252),x11253)),f42(f42(f22(a1),f21(x11251,x11252)),x11253))
% 26.60/26.85 [1134]~P55(x11341)+E(f42(f42(f22(x11341),f14(x11341,x11342)),x11343),f14(x11341,f42(f42(f22(x11341),x11342),x11343)))
% 26.60/26.85 [1135]~P71(x11351)+E(f42(f42(f9(x11351),f6(x11351,x11352)),x11353),f6(x11351,f42(f42(f9(x11351),x11352),x11353)))
% 26.60/26.85 [1137]~P3(x11371)+E(f42(f42(f9(x11371),f6(x11371,x11372)),x11373),f6(x11371,f42(f42(f9(x11371),x11372),x11373)))
% 26.60/26.85 [1203]~P2(x12031)+E(f42(f42(f9(a1),f21(x12031,x12032)),f21(x12031,x12033)),f21(x12031,f42(f42(f9(x12031),x12032),x12033)))
% 26.60/26.85 [1216]~P13(x12161)+E(f42(f42(f9(x12161),f14(x12161,x12162)),f14(x12161,x12163)),f14(x12161,f42(f42(f9(x12161),x12162),x12163)))
% 26.60/26.85 [1217]~P2(x12171)+E(f42(f42(f9(x12171),f13(x12171,x12172)),f13(x12171,x12173)),f13(x12171,f42(f42(f9(x12171),x12172),x12173)))
% 26.60/26.85 [1218]~P54(x12181)+E(f42(f42(f9(x12181),f13(x12181,x12182)),f13(x12181,x12183)),f13(x12181,f42(f42(f9(x12181),x12182),x12183)))
% 26.60/26.85 [1327]~P27(x13271)+E(f42(f42(f9(x13271),x13272),f42(f42(f22(x13271),x13272),x13273)),f42(f42(f22(x13271),x13272),f12(a2,x13273,f10(a2))))
% 26.60/26.85 [1328]~P50(x13281)+E(f42(f42(f9(x13281),x13282),f42(f42(f22(x13281),x13282),x13283)),f42(f42(f22(x13281),x13282),f12(a2,x13283,f10(a2))))
% 26.60/26.85 [1493]~P8(a3,x14931,x14932)+P8(a3,x14931,f12(a3,x14932,f42(f42(f9(a3),x14931),x14933)))
% 26.60/26.85 [1554]~P50(x15541)+E(f12(x15541,x15542,f42(f42(f9(x15541),x15543),x15542)),f42(f42(f9(x15541),f12(x15541,x15543,f10(x15541))),x15542))
% 26.60/26.85 [1555]~P50(x15551)+E(f12(x15551,f42(f42(f9(x15551),x15552),x15553),x15553),f42(f42(f9(x15551),f12(x15551,x15552,f10(x15551))),x15553))
% 26.60/26.85 [1584]~P44(x15841)+P5(a1,f21(x15841,f42(f42(f22(x15841),x15842),x15843)),f42(f42(f22(a1),f21(x15841,x15842)),x15843))
% 26.60/26.85 [1632]~P3(x16321)+P5(a1,f21(x16321,f42(f42(f9(x16321),x16322),x16323)),f42(f42(f9(a1),f21(x16321,x16323)),f47(x16322,x16321)))
% 26.60/26.85 [1633]~P3(x16331)+P5(a1,f21(x16331,f42(f42(f9(x16331),x16332),x16333)),f42(f42(f9(a1),f21(x16331,x16332)),f21(x16331,x16333)))
% 26.60/26.85 [1634]~P3(x16341)+P5(a1,f21(x16341,f42(f42(f9(x16341),x16342),x16343)),f42(f42(f9(a1),f21(x16341,x16342)),f46(x16343,x16341)))
% 26.60/26.85 [1663]P8(a3,x16631,x16632)+~P8(a3,x16631,f12(a3,x16632,f42(f42(f9(a3),x16631),x16633)))
% 26.60/26.85 [1664]~P53(x16641)+P5(x16641,f5(x16641),f12(x16641,f42(f42(f9(x16641),x16642),x16642),f42(f42(f9(x16641),x16643),x16643)))
% 26.60/26.85 [1704]~P72(x17041)+E(f42(f42(f9(x17041),f42(f42(f22(x17041),f6(x17041,f10(x17041))),x17042)),f42(f42(f22(x17041),x17043),x17042)),f42(f42(f22(x17041),f6(x17041,x17043)),x17042))
% 26.60/26.85 [1711]E(x17111,x17112)+~E(f42(f42(f9(a2),f12(a2,x17113,f10(a2))),x17111),f42(f42(f9(a2),f12(a2,x17113,f10(a2))),x17112))
% 26.60/26.85 [1716]~P53(x17161)+~P6(x17161,f12(x17161,f42(f42(f9(x17161),x17162),x17162),f42(f42(f9(x17161),x17163),x17163)),f5(x17161))
% 26.60/26.85 [1738]~P6(a2,x17382,x17383)+P6(a2,f42(f42(f9(a2),f12(a2,x17381,f10(a2))),x17382),f42(f42(f9(a2),f12(a2,x17381,f10(a2))),x17383))
% 26.60/26.85 [1749]~P3(x17491)+P5(a1,f21(x17491,f42(f42(f9(x17491),x17492),x17493)),f42(f42(f9(a1),f42(f42(f9(a1),f21(x17491,x17492)),f21(x17491,x17493))),f45(x17491)))
% 26.60/26.85 [1757]P5(a2,x17571,x17572)+~P5(a2,f42(f42(f9(a2),f12(a2,x17573,f10(a2))),x17571),f42(f42(f9(a2),f12(a2,x17573,f10(a2))),x17572))
% 26.60/26.85 [1782]~P48(x17821)+E(f12(f63(x17821),f42(f42(f9(f63(x17821)),f18(x17821,f6(x17821,x17822),f18(x17821,f10(x17821),f5(f63(x17821))))),f25(x17821,x17823,x17822)),f18(x17821,f42(f15(x17821,x17823),x17822),f5(f63(x17821)))),x17823)
% 26.60/26.85 [1488]~P14(x14881)+E(f42(f42(f9(x14881),f42(f42(f22(x14881),x14882),x14883)),x14882),f42(f42(f9(x14881),x14882),f42(f42(f22(x14881),x14882),x14883)))
% 26.60/26.85 [1504]~P14(x15041)+E(f42(f42(f9(x15041),f42(f42(f22(x15041),x15042),x15043)),x15042),f42(f42(f22(x15041),x15042),f12(a2,x15043,f10(a2))))
% 26.60/26.85 [1505]~P50(x15051)+E(f42(f42(f9(x15051),f42(f42(f22(x15051),x15052),x15053)),x15052),f42(f42(f22(x15051),x15052),f12(a2,x15053,f10(a2))))
% 26.60/26.85 [1347]~P50(x13471)+E(f12(x13471,x13472,f12(x13471,x13473,x13474)),f12(x13471,x13473,f12(x13471,x13472,x13474)))
% 26.60/26.85 [1349]~P17(x13491)+E(f12(x13491,f12(x13491,x13492,x13493),x13494),f12(x13491,x13492,f12(x13491,x13493,x13494)))
% 26.60/26.85 [1350]~P50(x13501)+E(f12(x13501,f12(x13501,x13502,x13503),x13504),f12(x13501,x13502,f12(x13501,x13503,x13504)))
% 26.60/26.85 [1351]~P50(x13511)+E(f12(x13511,f12(x13511,x13512,x13513),x13514),f12(x13511,f12(x13511,x13512,x13514),x13513))
% 26.60/26.85 [1482]~P51(x14821)+E(f25(x14821,f18(x14821,x14822,x14823),x14824),f18(x14821,f42(f15(x14821,x14823),x14824),f25(x14821,x14823,x14824)))
% 26.60/26.85 [1513]~P51(x15131)+E(f18(x15131,f42(f42(f9(x15131),x15132),x15133),f24(x15131,x15132,x15134)),f24(x15131,x15132,f18(x15131,x15133,x15134)))
% 26.60/26.85 [1517]~P51(x15171)+E(f12(f63(x15171),f24(x15171,x15172,x15173),f24(x15171,x15174,x15173)),f24(x15171,f12(x15171,x15172,x15174),x15173))
% 26.60/26.85 [1518]~P49(x15181)+E(f11(f63(x15181),f24(x15181,x15182,x15183),f24(x15181,x15184,x15183)),f24(x15181,f11(x15181,x15182,x15184),x15183))
% 26.60/26.85 [1519]~P22(x15191)+E(f12(f63(x15191),f16(x15191,x15192,x15193),f16(x15191,x15194,x15193)),f16(x15191,f12(x15191,x15192,x15194),x15193))
% 26.60/26.85 [1520]~P18(x15201)+E(f11(f63(x15201),f16(x15201,x15202,x15203),f16(x15201,x15204,x15203)),f16(x15201,f11(x15201,x15202,x15204),x15203))
% 26.60/26.85 [919]~P35(x9192)+E(f42(f6(f68(x9191,x9192),x9193),x9194),f6(x9192,f42(x9193,x9194)))
% 26.60/26.85 [1443]~P51(x14431)+E(f42(f15(x14431,x14432),f42(f15(x14431,x14433),x14434)),f42(f15(x14431,f20(x14431,x14432,x14433)),x14434))
% 26.60/26.85 [1453]~P51(x14531)+E(f42(f42(f9(x14531),x14532),f42(f15(x14531,x14533),x14534)),f42(f15(x14531,f24(x14531,x14532,x14533)),x14534))
% 26.60/26.85 [1557]~P51(x15571)+E(f12(f63(x15571),f24(x15571,x15572,x15573),f24(x15571,x15572,x15574)),f24(x15571,x15572,f12(f63(x15571),x15573,x15574)))
% 26.60/26.85 [1558]~P49(x15581)+E(f11(f63(x15581),f24(x15581,x15582,x15583),f24(x15581,x15582,x15584)),f24(x15581,x15582,f11(f63(x15581),x15583,x15584)))
% 26.60/26.85 [1700]~P51(x17001)+E(f12(f63(x17001),f18(x17001,x17002,f5(f63(x17001))),f42(f42(f9(f63(x17001)),x17003),f20(x17001,x17004,x17003))),f20(x17001,f18(x17001,x17002,x17004),x17003))
% 26.60/26.85 [1313]~P50(x13131)+E(f42(f42(f9(x13131),x13132),f42(f42(f9(x13131),x13133),x13134)),f42(f42(f9(x13131),x13133),f42(f42(f9(x13131),x13132),x13134)))
% 26.60/26.85 [1333]~P51(x13331)+E(f24(x13331,f42(f42(f9(x13331),x13332),x13333),x13334),f24(x13331,x13332,f24(x13331,x13333,x13334)))
% 26.60/26.85 [1334]~P51(x13341)+E(f16(x13341,f42(f42(f9(x13341),x13342),x13343),x13344),f24(x13341,x13342,f16(x13341,x13343,x13344)))
% 26.60/26.85 [1484]~P50(x14841)+E(f42(f42(f9(x14841),x14842),f42(f42(f22(x14841),x14843),x14844)),f42(f15(x14841,f16(x14841,x14842,x14844)),x14843))
% 26.60/26.85 [1500]~P3(x15001)+E(f12(x15001,f42(f42(f9(x15001),x15002),x15003),f42(f42(f9(x15001),x15002),x15004)),f42(f42(f9(x15001),x15002),f12(x15001,x15003,x15004)))
% 26.60/26.85 [1501]~P50(x15011)+E(f12(x15011,f42(f42(f9(x15011),x15012),x15013),f42(f42(f9(x15011),x15012),x15014)),f42(f42(f9(x15011),x15012),f12(x15011,x15013,x15014)))
% 26.60/26.85 [1503]~P3(x15031)+E(f11(x15031,f42(f42(f9(x15031),x15032),x15033),f42(f42(f9(x15031),x15032),x15034)),f42(f42(f9(x15031),x15032),f11(x15031,x15033,x15034)))
% 26.60/26.85 [1593]~P51(x15931)+E(f12(x15931,f42(f15(x15931,x15932),x15933),f42(f15(x15931,x15934),x15933)),f42(f15(x15931,f12(f63(x15931),x15932,x15934)),x15933))
% 26.60/26.85 [1594]~P49(x15941)+E(f11(x15941,f42(f15(x15941,x15942),x15943),f42(f15(x15941,x15944),x15943)),f42(f15(x15941,f11(f63(x15941),x15942,x15944)),x15943))
% 26.60/26.85 [1615]~P14(x16151)+E(f42(f42(f9(x16151),f42(f42(f22(x16151),x16152),x16153)),f42(f42(f22(x16151),x16152),x16154)),f42(f42(f22(x16151),x16152),f12(a2,x16153,x16154)))
% 26.60/26.85 [1616]~P50(x16161)+E(f42(f42(f9(x16161),f42(f42(f22(x16161),x16162),x16163)),f42(f42(f22(x16161),x16162),x16164)),f42(f42(f22(x16161),x16162),f12(a2,x16163,x16164)))
% 26.60/26.85 [1626]~P3(x16261)+E(f12(x16261,f42(f42(f9(x16261),x16262),x16263),f42(f42(f9(x16261),x16264),x16263)),f42(f42(f9(x16261),f12(x16261,x16262,x16264)),x16263))
% 26.60/26.85 [1627]~P47(x16271)+E(f12(x16271,f42(f42(f9(x16271),x16272),x16273),f42(f42(f9(x16271),x16274),x16273)),f42(f42(f9(x16271),f12(x16271,x16272,x16274)),x16273))
% 26.60/26.85 [1630]~P3(x16301)+E(f11(x16301,f42(f42(f9(x16301),x16302),x16303),f42(f42(f9(x16301),x16304),x16303)),f42(f42(f9(x16301),f11(x16301,x16302,x16304)),x16303))
% 26.60/26.85 [1631]~P50(x16311)+E(f12(x16311,f42(f42(f9(x16311),x16312),x16313),f42(f42(f9(x16311),x16314),x16313)),f42(f42(f9(x16311),f12(x16311,x16312,x16314)),x16313))
% 26.60/26.85 [1661]~P51(x16611)+E(f12(x16611,x16612,f42(f42(f9(x16611),x16613),f42(f15(x16611,x16614),x16613))),f42(f15(x16611,f18(x16611,x16612,x16614)),x16613))
% 26.60/26.85 [1454]~P51(x14541)+E(f24(x14541,x14542,f42(f42(f9(f63(x14541)),x14543),x14544)),f42(f42(f9(f63(x14541)),x14543),f24(x14541,x14542,x14544)))
% 26.60/26.85 [1479]~P50(x14791)+E(f42(f42(f22(x14791),f42(f42(f22(x14791),x14792),x14793)),x14794),f42(f42(f22(x14791),x14792),f42(f42(f9(a2),x14793),x14794)))
% 26.60/26.85 [1480]~P14(x14801)+E(f42(f42(f22(x14801),f42(f42(f22(x14801),x14802),x14803)),x14804),f42(f42(f22(x14801),x14802),f42(f42(f9(a2),x14803),x14804)))
% 26.60/26.85 [1486]~P16(x14861)+E(f42(f42(f9(x14861),f42(f42(f9(x14861),x14862),x14863)),x14864),f42(f42(f9(x14861),x14862),f42(f42(f9(x14861),x14863),x14864)))
% 26.60/26.85 [1487]~P50(x14871)+E(f42(f42(f9(x14871),f42(f42(f9(x14871),x14872),x14873)),x14874),f42(f42(f9(x14871),x14872),f42(f42(f9(x14871),x14873),x14874)))
% 26.60/26.85 [1595]~P51(x15951)+E(f24(x15951,x15952,f42(f42(f9(f63(x15951)),x15953),x15954)),f42(f42(f9(f63(x15951)),f24(x15951,x15952,x15953)),x15954))
% 26.60/26.85 [1614]~P50(x16141)+E(f42(f42(f9(x16141),f42(f42(f9(x16141),x16142),x16143)),x16144),f42(f42(f9(x16141),f42(f42(f9(x16141),x16142),x16144)),x16143))
% 26.60/26.85 [1670]~P15(x16701)+E(f42(f42(f9(x16701),f42(f42(f22(x16701),x16702),x16703)),f42(f42(f22(x16701),x16704),x16703)),f42(f42(f22(x16701),f42(f42(f9(x16701),x16702),x16704)),x16703))
% 26.60/26.85 [1671]~P50(x16711)+E(f42(f42(f9(x16711),f42(f42(f22(x16711),x16712),x16713)),f42(f42(f22(x16711),x16714),x16713)),f42(f42(f22(x16711),f42(f42(f9(x16711),x16712),x16714)),x16713))
% 26.60/26.85 [1695]~P51(x16951)+E(f12(f63(x16951),f42(f42(f9(f63(x16951)),x16952),x16953),f42(f42(f9(f63(x16951)),x16954),x16953)),f42(f42(f9(f63(x16951)),f12(f63(x16951),x16952,x16954)),x16953))
% 26.60/26.85 [1642]~P50(x16421)+E(f42(f15(x16421,f42(f42(f22(f63(x16421)),x16422),x16423)),x16424),f42(f42(f22(x16421),f42(f15(x16421,x16422),x16424)),x16423))
% 26.60/26.85 [1684]~P51(x16841)+E(f42(f42(f9(x16841),f42(f15(x16841,x16842),x16843)),f42(f15(x16841,x16844),x16843)),f42(f15(x16841,f42(f42(f9(f63(x16841)),x16842),x16844)),x16843))
% 26.60/26.85 [1705]~P51(x17051)+E(f12(f63(x17051),f24(x17051,x17052,x17053),f18(x17051,f5(x17051),f42(f42(f9(f63(x17051)),x17053),x17054))),f42(f42(f9(f63(x17051)),x17053),f18(x17051,x17052,x17054)))
% 26.60/26.85 [1715]~P51(x17151)+E(f12(f63(x17151),f24(x17151,x17152,x17153),f18(x17151,f5(x17151),f42(f42(f9(f63(x17151)),x17154),x17153))),f42(f42(f9(f63(x17151)),f18(x17151,x17152,x17154)),x17153))
% 26.60/26.85 [1755]~P48(x17551)+E(f42(f15(x17551,f42(f42(f9(f63(x17551)),f16(x17551,f10(x17551),x17552)),x17553)),x17554),f42(f42(f9(x17551),f42(f42(f22(x17551),x17554),x17552)),f42(f15(x17551,x17553),x17554)))
% 26.60/26.85 [868]~P7(x8684,x8685,x8681)+E(f42(x8681,x8682),f42(x8681,x8683))
% 26.60/26.85 [1640]~P50(x16401)+E(f12(x16401,f12(x16401,x16402,x16403),f12(x16401,x16404,x16405)),f12(x16401,f12(x16401,x16402,x16404),f12(x16401,x16403,x16405)))
% 26.60/26.85 [1641]~P18(x16411)+E(f12(x16411,f11(x16411,x16412,x16413),f11(x16411,x16414,x16415)),f11(x16411,f12(x16411,x16412,x16414),f12(x16411,x16413,x16415)))
% 26.60/26.85 [1688]~P51(x16881)+E(f42(f42(f9(f63(x16881)),f16(x16881,x16882,x16883)),f16(x16881,x16884,x16885)),f16(x16881,f42(f42(f9(x16881),x16882),x16884),f12(a2,x16883,x16885)))
% 26.60/26.85 [1262]~P26(x12622)+E(f42(f11(f68(x12621,x12622),x12623,x12624),x12625),f11(x12622,f42(x12623,x12625),f42(x12624,x12625)))
% 26.60/26.85 [1643]~P22(x16431)+E(f18(x16431,f12(x16431,x16432,x16433),f12(f63(x16431),x16434,x16435)),f12(f63(x16431),f18(x16431,x16432,x16434),f18(x16431,x16433,x16435)))
% 26.60/26.85 [1644]~P18(x16441)+E(f18(x16441,f11(x16441,x16442,x16443),f11(f63(x16441),x16444,x16445)),f11(f63(x16441),f18(x16441,x16442,x16444),f18(x16441,x16443,x16445)))
% 26.60/26.85 [1762]~P45(x17621)+P5(a1,f21(x17621,f11(x17621,f12(x17621,x17622,x17623),f12(x17621,x17624,x17625))),f12(a1,f21(x17621,f11(x17621,x17622,x17624)),f21(x17621,f11(x17621,x17623,x17625))))
% 26.60/26.85 [1699]~P50(x16991)+E(f42(f42(f9(x16991),f42(f42(f9(x16991),x16992),x16993)),f42(f42(f9(x16991),x16994),x16995)),f42(f42(f9(x16991),f42(f42(f9(x16991),x16992),x16994)),f42(f42(f9(x16991),x16993),x16995)))
% 26.60/26.85 [1736]~P71(x17361)+E(f12(x17361,f42(f42(f9(x17361),x17362),f11(x17361,x17363,x17364)),f42(f42(f9(x17361),f11(x17361,x17362,x17365)),x17364)),f11(x17361,f42(f42(f9(x17361),x17362),x17363),f42(f42(f9(x17361),x17365),x17364)))
% 26.60/26.85 [1783]~P3(x17831)+E(f12(x17831,f12(x17831,f42(f42(f9(x17831),f11(x17831,x17832,x17833)),f11(x17831,x17834,x17835)),f42(f42(f9(x17831),f11(x17831,x17832,x17833)),x17835)),f42(f42(f9(x17831),x17833),f11(x17831,x17834,x17835))),f11(x17831,f42(f42(f9(x17831),x17832),x17834),f42(f42(f9(x17831),x17833),x17835)))
% 26.60/26.85 [1729]~P74(x17291)+E(f12(x17291,f42(f42(f9(x17291),x17292),x17293),f12(x17291,f42(f42(f9(x17291),x17294),x17293),x17295)),f12(x17291,f42(f42(f9(x17291),f12(x17291,x17292,x17294)),x17293),x17295))
% 26.60/26.85 [1758]~P5(a2,x17581,x17584)+E(f11(a2,f12(a2,f42(f42(f9(a2),x17581),x17582),x17583),f12(a2,f42(f42(f9(a2),x17584),x17582),x17585)),f11(a2,x17583,f12(a2,f42(f42(f9(a2),f11(a2,x17584,x17581)),x17582),x17585)))
% 26.60/26.85 [1759]~P5(a2,x17594,x17591)+E(f11(a2,f12(a2,f42(f42(f9(a2),x17591),x17592),x17593),f12(a2,f42(f42(f9(a2),x17594),x17592),x17595)),f11(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17591,x17594)),x17592),x17593),x17595))
% 26.60/26.85 [853]E(x8531,f5(a3))+~P6(a3,f5(a3),x8531)+E(f13(a3,x8531),f10(a3))
% 26.60/26.85 [788]E(x7881,f5(a1))+P6(a1,f5(a1),x7881)+E(f13(a1,x7881),f6(a1,f10(a1)))
% 26.60/26.85 [789]E(x7891,f5(a3))+P6(a3,f5(a3),x7891)+E(f13(a3,x7891),f6(a3,f10(a3)))
% 26.60/26.85 [1242]~P6(a2,f8(a4,x12421),f8(a4,a64))+P7(a4,a4,f15(a4,x12421))+E(f42(f15(a4,x12421),f29(x12421)),f5(a4))
% 26.60/26.85 [1696]E(x16961,f5(a2))+E(x16961,f12(a2,f5(a2),f10(a2)))+~P6(a2,x16961,f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2)))
% 26.60/26.85 [858]E(x8581,x8582)+P6(a2,x8582,x8581)+P6(a2,x8581,x8582)
% 26.60/26.85 [859]E(x8591,x8592)+P6(a3,x8592,x8591)+P6(a3,x8591,x8592)
% 26.60/26.85 [923]E(x9231,x9232)+P6(a1,x9231,x9232)+~P5(a1,x9231,x9232)
% 26.60/26.85 [926]E(x9261,x9262)+P6(a2,x9261,x9262)+~P5(a2,x9261,x9262)
% 26.60/26.85 [927]E(x9271,x9272)+P6(a3,x9271,x9272)+~P5(a3,x9271,x9272)
% 26.60/26.85 [982]E(x9821,x9822)+~P5(a1,x9822,x9821)+~P5(a1,x9821,x9822)
% 26.60/26.85 [983]E(x9831,x9832)+~P5(a2,x9832,x9831)+~P5(a2,x9831,x9832)
% 26.60/26.85 [984]E(x9841,x9842)+~P5(a3,x9842,x9841)+~P5(a3,x9841,x9842)
% 26.60/26.85 [993]E(x9931,x9932)+~P8(a2,x9932,x9931)+~P8(a2,x9931,x9932)
% 26.60/26.85 [629]~P24(x6291)+~E(x6292,f5(x6291))+E(f6(x6291,x6292),x6292)
% 26.60/26.85 [637]~P45(x6371)+~E(x6372,f5(x6371))+E(f21(x6371,x6372),f5(a1))
% 26.60/26.85 [638]~P25(x6381)+~E(f5(x6381),x6382)+E(f6(x6381,x6382),f5(x6381))
% 26.60/26.85 [639]~P55(x6391)+~E(x6392,f5(x6391))+E(f14(x6391,x6392),f5(x6391))
% 26.60/26.85 [640]~P13(x6401)+~E(x6402,f10(x6401))+E(f14(x6401,x6402),f10(x6401))
% 26.60/26.85 [641]~P25(x6411)+~E(x6412,f5(x6411))+E(f6(x6411,x6412),f5(x6411))
% 26.60/26.85 [642]~P45(x6421)+~E(x6422,f5(x6421))+E(f13(x6421,x6422),f5(x6421))
% 26.60/26.85 [643]~P54(x6431)+~E(x6432,f5(x6431))+E(f13(x6431,x6432),f5(x6431))
% 26.60/26.85 [644]~P36(x6441)+~E(x6442,f5(x6441))+E(f13(x6441,x6442),f5(x6441))
% 26.60/26.85 [646]~P24(x6462)+~E(f6(x6462,x6461),x6461)+E(x6461,f5(x6462))
% 26.60/26.85 [653]~P45(x6532)+E(x6531,f5(x6532))+~E(f21(x6532,x6531),f5(a1))
% 26.60/26.85 [655]~P46(x6552)+~E(f14(x6552,x6551),f5(x6552))+E(x6551,f5(x6552))
% 26.60/26.85 [656]~P55(x6562)+~E(f14(x6562,x6561),f5(x6562))+E(x6561,f5(x6562))
% 26.60/26.85 [657]~P25(x6572)+~E(f6(x6572,x6571),f5(x6572))+E(x6571,f5(x6572))
% 26.60/26.85 [658]~P45(x6582)+~E(f13(x6582,x6581),f5(x6582))+E(x6581,f5(x6582))
% 26.60/26.85 [659]~P54(x6592)+~E(f13(x6592,x6591),f5(x6592))+E(x6591,f5(x6592))
% 26.60/26.85 [660]~P13(x6602)+~E(f14(x6602,x6601),f10(x6602))+E(x6601,f10(x6602))
% 26.60/26.85 [661]~P25(x6611)+~E(f6(x6611,x6612),f5(x6611))+E(f5(x6611),x6612)
% 26.60/26.85 [719]~E(x7192,f5(a2))+~E(x7191,f5(a2))+E(f12(a2,x7191,x7192),f5(a2))
% 26.60/26.85 [751]~P24(x7511)+~E(x7512,f5(x7511))+E(f12(x7511,x7512,x7512),f5(x7511))
% 26.60/26.85 [815]~P45(x8152)+E(x8151,f5(x8152))+P6(a1,f5(a1),f21(x8152,x8151))
% 26.60/26.85 [819]~P54(x8191)+P6(x8191,f5(x8191),x8192)+~E(f13(x8191,x8192),f10(x8191))
% 26.60/26.85 [829]~P45(x8291)+~E(x8292,f5(x8291))+P5(a1,f21(x8291,x8292),f5(a1))
% 26.60/26.85 [843]~P24(x8432)+~E(f12(x8432,x8431,x8431),f5(x8432))+E(x8431,f5(x8432))
% 26.60/26.85 [855]~P50(x8552)+~P8(x8552,f5(x8552),x8551)+E(x8551,f5(x8552))
% 26.60/26.85 [893]~P54(x8931)+~P6(x8931,f5(x8931),x8932)+E(f13(x8931,x8932),f10(x8931))
% 26.60/26.85 [901]~P43(x9011)+P10(x9011,x9012)+P5(a2,f48(x9012,x9011),f50(x9012,x9011))
% 26.60/26.85 [929]~P45(x9292)+E(x9291,f5(x9292))+~P5(a1,f21(x9292,x9291),f5(a1))
% 26.60/26.85 [934]~P45(x9342)+~E(x9341,f5(x9342))+~P6(a1,f5(a1),f21(x9342,x9341))
% 26.60/26.85 [1002]E(x10021,x10022)+~E(f11(a2,x10022,x10021),f5(a2))+~E(f11(a2,x10021,x10022),f5(a2))
% 26.60/26.85 [1033]~P54(x10331)+~P6(x10331,x10332,f5(x10331))+P6(x10331,x10332,f6(x10331,x10332))
% 26.60/26.85 [1034]~P24(x10341)+~P5(x10341,x10342,f5(x10341))+P5(x10341,x10342,f6(x10341,x10342))
% 26.60/26.85 [1035]~P24(x10351)+~P6(x10351,f5(x10351),x10352)+P6(x10351,f6(x10351,x10352),x10352)
% 26.60/26.85 [1036]~P24(x10361)+~P5(x10361,f5(x10361),x10362)+P5(x10361,f6(x10361,x10362),x10362)
% 26.60/26.85 [1046]~P32(x10461)+~P6(x10461,x10462,f5(x10461))+P6(x10461,f5(x10461),f6(x10461,x10462))
% 26.60/26.85 [1047]~P32(x10471)+~P5(x10471,x10472,f5(x10471))+P5(x10471,f5(x10471),f6(x10471,x10472))
% 26.60/26.85 [1048]~P11(x10481)+~P6(x10481,f5(x10481),x10482)+P6(x10481,f5(x10481),f14(x10481,x10482))
% 26.60/26.85 [1049]~P12(x10491)+~P6(x10491,f5(x10491),x10492)+P6(x10491,f5(x10491),f14(x10491,x10492))
% 26.60/26.85 [1050]~P54(x10501)+~P6(x10501,f5(x10501),x10502)+P6(x10501,f5(x10501),f13(x10501,x10502))
% 26.60/26.85 [1051]~P11(x10511)+~P5(x10511,f5(x10511),x10512)+P5(x10511,f5(x10511),f14(x10511,x10512))
% 26.60/26.85 [1052]~P11(x10521)+~P6(x10521,x10522,f5(x10521))+P6(x10521,f14(x10521,x10522),f5(x10521))
% 26.60/26.85 [1053]~P12(x10531)+~P6(x10531,x10532,f5(x10531))+P6(x10531,f14(x10531,x10532),f5(x10531))
% 26.60/26.85 [1054]~P11(x10541)+~P5(x10541,x10542,f5(x10541))+P6(x10541,f14(x10541,x10542),f10(x10541))
% 26.60/26.85 [1055]~P54(x10551)+~P6(x10551,x10552,f5(x10551))+P6(x10551,f13(x10551,x10552),f5(x10551))
% 26.60/26.85 [1056]~P11(x10561)+~P5(x10561,x10562,f5(x10561))+P5(x10561,f14(x10561,x10562),f5(x10561))
% 26.60/26.85 [1057]~P11(x10571)+~P5(x10571,x10572,f5(x10571))+P5(x10571,f14(x10571,x10572),f10(x10571))
% 26.60/26.85 [1058]~P11(x10581)+~P6(x10581,f10(x10581),x10582)+P6(x10581,f14(x10581,x10582),f10(x10581))
% 26.60/26.85 [1059]~P32(x10591)+~P6(x10591,f5(x10591),x10592)+P6(x10591,f6(x10591,x10592),f5(x10591))
% 26.60/26.85 [1060]~P11(x10601)+~P5(x10601,f10(x10601),x10602)+P5(x10601,f14(x10601,x10602),f10(x10601))
% 26.60/26.85 [1061]~P32(x10611)+~P5(x10611,f5(x10611),x10612)+P5(x10611,f6(x10611,x10612),f5(x10611))
% 26.60/26.85 [1064]~P54(x10641)+~P6(x10641,x10642,f6(x10641,x10642))+P6(x10641,x10642,f5(x10641))
% 26.60/26.85 [1065]~P24(x10651)+~P5(x10651,x10652,f6(x10651,x10652))+P5(x10651,x10652,f5(x10651))
% 26.60/26.85 [1066]~P24(x10661)+~P6(x10661,f6(x10661,x10662),x10662)+P6(x10661,f5(x10661),x10662)
% 26.60/26.85 [1067]~P24(x10671)+~P5(x10671,f6(x10671,x10672),x10672)+P5(x10671,f5(x10671),x10672)
% 26.60/26.85 [1081]~P32(x10811)+~P6(x10811,f5(x10811),f6(x10811,x10812))+P6(x10811,x10812,f5(x10811))
% 26.60/26.85 [1082]~P11(x10821)+~P6(x10821,f10(x10821),f14(x10821,x10822))+P6(x10821,x10822,f10(x10821))
% 26.60/26.85 [1083]~P32(x10831)+~P5(x10831,f5(x10831),f6(x10831,x10832))+P5(x10831,x10832,f5(x10831))
% 26.60/26.85 [1084]~P11(x10841)+~P5(x10841,f10(x10841),f14(x10841,x10842))+P5(x10841,x10842,f10(x10841))
% 26.60/26.85 [1085]~P11(x10851)+~P6(x10851,f14(x10851,x10852),f5(x10851))+P6(x10851,x10852,f5(x10851))
% 26.60/26.85 [1086]~P54(x10861)+~P6(x10861,f13(x10861,x10862),f5(x10861))+P6(x10861,x10862,f5(x10861))
% 26.60/26.85 [1087]~P11(x10871)+~P5(x10871,f14(x10871,x10872),f5(x10871))+P5(x10871,x10872,f5(x10871))
% 26.60/26.85 [1088]~P11(x10881)+~P6(x10881,f5(x10881),f14(x10881,x10882))+P6(x10881,f5(x10881),x10882)
% 26.60/26.85 [1089]~P11(x10891)+~P6(x10891,f10(x10891),f14(x10891,x10892))+P6(x10891,f5(x10891),x10892)
% 26.60/26.85 [1090]~P11(x10901)+~P5(x10901,f10(x10901),f14(x10901,x10902))+P6(x10901,f5(x10901),x10902)
% 26.60/26.85 [1091]~P54(x10911)+~P6(x10911,f5(x10911),f13(x10911,x10912))+P6(x10911,f5(x10911),x10912)
% 26.60/26.85 [1092]~P11(x10921)+~P5(x10921,f5(x10921),f14(x10921,x10922))+P5(x10921,f5(x10921),x10922)
% 26.60/26.85 [1093]~P32(x10931)+~P6(x10931,f6(x10931,x10932),f5(x10931))+P6(x10931,f5(x10931),x10932)
% 26.60/26.85 [1094]~P32(x10941)+~P5(x10941,f6(x10941,x10942),f5(x10941))+P5(x10941,f5(x10941),x10942)
% 26.60/26.85 [1131]~P8(a2,x11311,x11312)+P5(a2,x11311,x11312)+~P6(a2,f5(a2),x11312)
% 26.60/26.85 [1132]~P8(a3,x11321,x11322)+P5(a3,x11321,x11322)+~P6(a3,f5(a3),x11322)
% 26.60/26.85 [1220]~P8(a2,x12202,x12201)+~P6(a2,x12201,x12202)+~P6(a2,f5(a2),x12201)
% 26.60/26.85 [1221]~P8(a3,x12212,x12211)+~P6(a3,x12211,x12212)+~P6(a3,f5(a3),x12211)
% 26.60/26.85 [1222]~P5(a3,f5(a3),x12222)+~P5(a3,f5(a3),x12221)+P5(a3,f5(a3),f17(x12221,x12222))
% 26.60/26.85 [1236]~P24(x12361)+~P6(x12361,f5(x12361),x12362)+P6(x12361,f5(x12361),f12(x12361,x12362,x12362))
% 26.60/26.85 [1237]~P24(x12371)+~P5(x12371,f5(x12371),x12372)+P5(x12371,f5(x12371),f12(x12371,x12372,x12372))
% 26.60/26.85 [1238]~P54(x12381)+~P6(x12381,x12382,f5(x12381))+P6(x12381,f12(x12381,x12382,x12382),f5(x12381))
% 26.60/26.85 [1239]~P24(x12391)+~P6(x12391,x12392,f5(x12391))+P6(x12391,f12(x12391,x12392,x12392),f5(x12391))
% 26.60/26.85 [1240]~P24(x12401)+~P5(x12401,x12402,f5(x12401))+P5(x12401,f12(x12401,x12402,x12402),f5(x12401))
% 26.60/26.85 [1353]~P54(x13531)+~P6(x13531,f12(x13531,x13532,x13532),f5(x13531))+P6(x13531,x13532,f5(x13531))
% 26.60/26.85 [1354]~P24(x13541)+~P6(x13541,f12(x13541,x13542,x13542),f5(x13541))+P6(x13541,x13542,f5(x13541))
% 26.60/26.85 [1355]~P24(x13551)+~P5(x13551,f12(x13551,x13552,x13552),f5(x13551))+P5(x13551,x13552,f5(x13551))
% 26.60/26.85 [1356]~P24(x13561)+~P6(x13561,f5(x13561),f12(x13561,x13562,x13562))+P6(x13561,f5(x13561),x13562)
% 26.60/26.85 [1357]~P24(x13571)+~P5(x13571,f5(x13571),f12(x13571,x13572,x13572))+P5(x13571,f5(x13571),x13572)
% 26.60/26.85 [1359]P6(a2,f11(a2,x13591,x13592),x13591)+~P6(a2,f5(a2),x13591)+~P6(a2,f5(a2),x13592)
% 26.60/26.85 [1365]~P5(a3,f5(a3),x13652)+~P5(a3,f5(a3),x13651)+P5(a3,f5(a3),f12(a3,x13651,x13652))
% 26.60/26.85 [1428]P6(a2,f5(a2),x14281)+P6(a2,f5(a2),x14282)+~P6(a2,f5(a2),f12(a2,x14282,x14281))
% 26.60/26.85 [662]~P34(x6621)+E(f8(x6621,x6622),f5(a2))+~E(x6622,f5(f63(x6621)))
% 26.60/26.85 [663]~P34(x6632)+~E(f8(x6632,x6631),f5(a2))+E(x6631,f5(f63(x6632)))
% 26.60/26.85 [671]~P46(x6712)+E(x6711,f5(x6712))+E(f14(x6712,f14(x6712,x6711)),x6711)
% 26.60/26.85 [680]~P45(x6802)+E(x6801,f5(x6802))+E(f21(x6802,f13(x6802,x6801)),f10(a1))
% 26.60/26.85 [681]~P54(x6811)+~E(x6812,f5(f63(x6811)))+E(f13(f63(x6811),x6812),f5(f63(x6811)))
% 26.60/26.85 [691]~P45(x6911)+~E(x6912,f5(x6911))+E(f21(x6911,f13(x6911,x6912)),f5(a1))
% 26.60/26.85 [803]~P2(x8032)+E(x8031,f5(x8032))+E(f21(x8032,f14(x8032,x8031)),f14(a1,f21(x8032,x8031)))
% 26.60/26.85 [811]~P46(x8112)+E(x8111,f5(x8112))+E(f14(x8112,f6(x8112,x8111)),f6(x8112,f14(x8112,x8111)))
% 26.60/26.85 [812]~P2(x8121)+~P55(x8121)+E(f21(x8121,f14(x8121,x8122)),f14(a1,f21(x8121,x8122)))
% 26.60/26.85 [816]~P46(x8162)+E(x8161,f5(x8162))+E(f42(f42(f9(x8162),x8161),f14(x8162,x8161)),f10(x8162))
% 26.60/26.85 [894]~P54(x8941)+P6(x8941,x8942,f5(x8941))+~E(f13(x8941,x8942),f6(x8941,f10(x8941)))
% 26.60/26.85 [915]~P54(x9151)+~P6(x9151,x9152,f5(x9151))+E(f13(x9151,x9152),f6(x9151,f10(x9151)))
% 26.60/26.85 [1031]E(x10311,f5(a2))+E(x10312,f5(a2))+~E(f12(a2,x10312,x10311),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1032]E(x10321,f5(a2))+E(x10322,f5(a2))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x10322,x10321))
% 26.60/26.85 [1098]~E(x10982,f5(a2))+~E(x10981,f12(a2,f5(a2),f10(a2)))+E(f12(a2,x10981,x10982),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1099]~E(x10991,f5(a2))+~E(x10992,f12(a2,f5(a2),f10(a2)))+E(f12(a2,x10991,x10992),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1100]~E(x11002,f5(a2))+~E(x11001,f12(a2,f5(a2),f10(a2)))+E(f12(a2,f5(a2),f10(a2)),f12(a2,x11001,x11002))
% 26.60/26.85 [1101]~E(x11011,f5(a2))+~E(x11012,f12(a2,f5(a2),f10(a2)))+E(f12(a2,f5(a2),f10(a2)),f12(a2,x11011,x11012))
% 26.60/26.85 [1165]E(x11651,f5(a2))+E(x11651,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,x11652,x11651),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1166]E(x11661,f5(a2))+E(x11661,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,x11661,x11662),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1167]E(x11671,f5(a2))+E(x11671,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x11672,x11671))
% 26.60/26.85 [1168]E(x11681,f5(a2))+E(x11681,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x11681,x11682))
% 26.60/26.85 [1281]E(x12811,f12(a2,f5(a2),f10(a2)))+E(x12812,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,x12811,x12812),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1282]E(x12821,f12(a2,f5(a2),f10(a2)))+E(x12822,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x12821,x12822))
% 26.60/26.85 [1290]~P6(a2,x12901,x12902)+P6(a2,f12(a2,x12901,f10(a2)),x12902)+E(f12(a2,x12901,f10(a2)),x12902)
% 26.60/26.85 [1311]E(x13111,x13112)+P6(a2,x13111,x13112)+~P6(a2,x13111,f12(a2,x13112,f10(a2)))
% 26.60/26.85 [1312]E(x13121,x13122)+P6(a3,x13121,x13122)+~P6(a3,x13121,f12(a3,x13122,f10(a3)))
% 26.60/26.85 [1366]P6(a2,f56(x13662,x13661),x13662)+E(x13661,f5(a2))+~P6(a2,x13661,f12(a2,x13662,f10(a2)))
% 26.60/26.85 [1371]E(x13711,x13712)+~P5(a2,x13712,x13711)+~P6(a2,x13711,f12(a2,x13712,f10(a2)))
% 26.60/26.85 [1372]E(x13721,f5(a2))+~P6(a2,x13721,f12(a2,x13722,f10(a2)))+E(f12(a2,f56(x13722,x13721),f10(a2)),x13721)
% 26.60/26.85 [1389]~P43(x13891)+P10(x13891,x13892)+~P5(x13891,f42(x13892,f50(x13892,x13891)),f42(x13892,f48(x13892,x13891)))
% 26.60/26.85 [1438]P5(a2,x14381,x14382)+~P5(a2,x14381,f12(a2,x14382,f10(a2)))+E(x14381,f12(a2,x14382,f10(a2)))
% 26.60/26.85 [698]~E(x6982,f10(a2))+~E(x6981,f10(a2))+E(f42(f42(f9(a2),x6981),x6982),f10(a2))
% 26.60/26.85 [744]~P70(x7441)+~E(x7442,f10(x7441))+E(f42(f42(f9(x7441),x7442),x7442),f10(x7441))
% 26.60/26.85 [768]E(x7681,f10(a2))+E(x7682,f5(a2))+~E(f42(f42(f9(a2),x7682),x7681),x7682)
% 26.60/26.85 [770]E(x7701,f5(a2))+E(x7702,f5(a2))+~E(f42(f42(f9(a2),x7702),x7701),f5(a2))
% 26.60/26.85 [827]~P70(x8271)+~E(x8272,f6(x8271,f10(x8271)))+E(f42(f42(f9(x8271),x8272),x8272),f10(x8271))
% 26.60/26.85 [890]~P46(x8902)+E(x8901,f5(x8902))+E(f42(f42(f9(x8902),f14(x8902,x8901)),x8901),f10(x8902))
% 26.60/26.85 [891]~P4(x8912)+E(x8911,f5(x8912))+E(f42(f42(f9(x8912),f14(x8912,x8911)),x8911),f10(x8912))
% 26.60/26.85 [978]E(x9781,f10(a3))+~P6(a3,f5(a3),x9782)+~E(f42(f42(f9(a3),x9782),x9781),f10(a3))
% 26.60/26.85 [979]E(x9791,f10(a3))+~P6(a3,f5(a3),x9791)+~E(f42(f42(f9(a3),x9791),x9792),f10(a3))
% 26.60/26.85 [1063]~P27(x10631)+~P75(x10631)+E(f42(f42(f22(x10631),f5(x10631)),f12(a2,x10632,f10(a2))),f5(x10631))
% 26.60/26.85 [1138]E(x11381,f5(a2))+E(x11382,f12(a2,f5(a2),f10(a2)))+~E(f42(f42(f22(a2),x11382),x11381),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1161]~E(x11612,f10(a2))+~P6(a2,f5(a2),x11611)+P8(a2,f42(f42(f9(a2),x11611),x11612),x11611)
% 26.60/26.85 [1162]~E(x11621,f10(a2))+~P6(a2,f5(a2),x11622)+P8(a2,f42(f42(f9(a2),x11621),x11622),x11622)
% 26.60/26.85 [1270]E(x12701,f5(a2))+P6(a2,f5(a2),x12702)+~P6(a2,f5(a2),f42(f42(f22(a2),x12702),x12701))
% 26.60/26.85 [1272]~E(x12722,f12(a2,f5(a2),f10(a2)))+~E(x12721,f12(a2,f5(a2),f10(a2)))+E(f42(f42(f9(a2),x12721),x12722),f12(a2,f5(a2),f10(a2)))
% 26.60/26.85 [1319]E(x13191,f10(a2))+~P6(a2,f5(a2),x13192)+~P8(a2,f42(f42(f9(a2),x13192),x13191),x13192)
% 26.60/26.85 [1320]E(x13201,f10(a2))+~P6(a2,f5(a2),x13202)+~P8(a2,f42(f42(f9(a2),x13201),x13202),x13202)
% 26.60/26.85 [1329]~P6(a1,f5(a1),x13292)+~P6(a1,f5(a1),x13291)+P6(a1,f5(a1),f42(f42(f9(a1),x13291),x13292))
% 26.60/26.85 [1330]~P6(a2,f5(a2),x13302)+~P6(a2,f5(a2),x13301)+P6(a2,f5(a2),f42(f42(f9(a2),x13301),x13302))
% 26.60/26.85 [1331]~P5(a3,f5(a3),x13312)+~P5(a3,f5(a3),x13311)+P5(a3,f5(a3),f42(f42(f9(a3),x13311),x13312))
% 26.60/26.85 [1691]~P6(a2,f12(a2,f5(a2),f10(a2)),x16912)+~P6(a2,f12(a2,f5(a2),f10(a2)),x16911)+P6(a2,x16911,f42(f42(f9(a2),x16912),x16911))
% 26.60/26.85 [1692]~P6(a2,f12(a2,f5(a2),f10(a2)),x16922)+~P6(a2,f12(a2,f5(a2),f10(a2)),x16921)+P6(a2,x16921,f42(f42(f9(a2),x16921),x16922))
% 26.60/26.85 [1706]~P6(a2,f12(a2,f5(a2),f10(a2)),x17061)+~P6(a2,f12(a2,f5(a2),f10(a2)),x17062)+P6(a2,f12(a2,f5(a2),f10(a2)),f42(f42(f9(a2),x17061),x17062))
% 26.60/26.85 [1204]~E(x12042,f5(a1))+~E(x12041,f5(a1))+E(f12(a1,f42(f42(f9(a1),x12041),x12041),f42(f42(f9(a1),x12042),x12042)),f5(a1))
% 26.60/26.85 [1763]E(x17631,f5(a2))+E(x17632,f5(a4))+P6(a1,f21(a4,f12(a4,f10(a4),f42(f42(f9(a4),x17632),f42(f42(f22(a4),f61(x17631,x17632)),x17631)))),f10(a1))
% 26.60/26.85 [710]~E(x7102,x7103)+~P38(x7101)+P5(x7101,x7102,x7103)
% 26.60/26.85 [712]~E(x7122,x7123)+~P43(x7121)+P5(x7121,x7122,x7123)
% 26.60/26.85 [825]~P6(x8253,x8251,x8252)+~E(x8251,x8252)+~P40(x8253)
% 26.60/26.85 [826]~P6(x8263,x8261,x8262)+~E(x8261,x8262)+~P43(x8263)
% 26.60/26.85 [877]P5(x8771,x8773,x8772)+~P40(x8771)+P6(x8771,x8772,x8773)
% 26.60/26.85 [879]P5(x8791,x8793,x8792)+~P40(x8791)+P5(x8791,x8792,x8793)
% 26.60/26.85 [940]~P38(x9401)+~P6(x9401,x9402,x9403)+P5(x9401,x9402,x9403)
% 26.60/26.85 [942]~P43(x9421)+~P6(x9421,x9422,x9423)+P5(x9421,x9422,x9423)
% 26.60/26.85 [1009]~P6(x10091,x10093,x10092)+~P38(x10091)+~P6(x10091,x10092,x10093)
% 26.60/26.85 [1010]~P5(x10101,x10103,x10102)+~P38(x10101)+~P6(x10101,x10102,x10103)
% 26.60/26.85 [1011]~P6(x10111,x10113,x10112)+~P40(x10111)+~P6(x10111,x10112,x10113)
% 26.60/26.85 [1014]~P5(x10141,x10143,x10142)+~P40(x10141)+~P6(x10141,x10142,x10143)
% 26.60/26.85 [1015]~P6(x10151,x10153,x10152)+~P43(x10151)+~P6(x10151,x10152,x10153)
% 26.60/26.85 [1120]~P5(a1,x11201,x11203)+P5(a1,x11201,x11202)+~P5(a1,x11203,x11202)
% 26.60/26.85 [1121]~P5(a2,x11211,x11213)+P5(a2,x11211,x11212)+~P5(a2,x11213,x11212)
% 26.60/26.85 [1122]~P5(a3,x11221,x11223)+P5(a3,x11221,x11222)+~P5(a3,x11223,x11222)
% 26.60/26.85 [1123]~P8(a2,x11231,x11233)+P8(a2,x11231,x11232)+~P8(a2,x11233,x11232)
% 26.60/26.85 [665]~P25(x6652)+~E(x6653,f6(x6652,x6651))+E(x6651,f6(x6652,x6653))
% 26.60/26.85 [667]~P25(x6671)+~E(f6(x6671,x6673),x6672)+E(f6(x6671,x6672),x6673)
% 26.60/26.85 [673]~P55(x6733)+E(x6731,x6732)+~E(f14(x6733,x6731),f14(x6733,x6732))
% 26.60/26.85 [674]~P25(x6743)+E(x6741,x6742)+~E(f6(x6743,x6741),f6(x6743,x6742))
% 26.60/26.85 [675]~P41(x6753)+E(x6751,x6752)+~E(f6(x6753,x6751),f6(x6753,x6752))
% 26.60/26.85 [731]~E(x7312,x7313)+~P25(x7311)+E(f11(x7311,x7312,x7313),f5(x7311))
% 26.60/26.85 [732]~E(x7322,x7323)+~P18(x7321)+E(f11(x7321,x7322,x7323),f5(x7321))
% 26.60/26.85 [740]~P76(x7401)+~E(x7403,f5(x7401))+E(f12(x7401,x7402,x7403),x7402)
% 26.60/26.85 [741]~E(x7412,x7413)+~P54(x7411)+P5(f63(x7411),x7412,x7413)
% 26.60/26.85 [795]~P25(x7951)+~E(x7953,f6(x7951,x7952))+E(f12(x7951,x7952,x7953),f5(x7951))
% 26.60/26.85 [796]~P25(x7961)+~E(x7962,f6(x7961,x7963))+E(f12(x7961,x7962,x7963),f5(x7961))
% 26.60/26.85 [836]~P76(x8362)+~E(f12(x8362,x8363,x8361),x8363)+E(x8361,f5(x8362))
% 26.60/26.85 [839]~P25(x8393)+E(x8391,x8392)+~E(f11(x8393,x8391,x8392),f5(x8393))
% 26.60/26.85 [840]~P18(x8403)+E(x8401,x8402)+~E(f11(x8403,x8401,x8402),f5(x8403))
% 26.60/26.85 [869]~P25(x8692)+~E(f12(x8692,x8693,x8691),f5(x8692))+E(x8691,f6(x8692,x8693))
% 26.60/26.85 [870]~P25(x8702)+~E(f12(x8702,x8701,x8703),f5(x8702))+E(x8701,f6(x8702,x8703))
% 26.60/26.85 [871]~P25(x8711)+~E(f12(x8711,x8712,x8713),f5(x8711))+E(f6(x8711,x8712),x8713)
% 26.60/26.85 [962]~P54(x9621)+~P9(x9621,x9623)+P9(x9621,f18(x9621,x9622,x9623))
% 26.60/26.85 [999]~P48(x9991)+~P8(x9991,x9992,x9993)+P8(x9991,x9992,f6(x9991,x9993))
% 26.60/26.85 [1000]~P48(x10001)+~P8(x10001,x10002,x10003)+P8(x10001,f6(x10001,x10002),x10003)
% 26.60/26.85 [1041]~P48(x10411)+P8(x10411,x10412,x10413)+~P8(x10411,x10412,f6(x10411,x10413))
% 26.60/26.85 [1042]~P48(x10421)+P8(x10421,x10422,x10423)+~P8(x10421,f6(x10421,x10422),x10423)
% 26.60/26.85 [1071]~P32(x10711)+~P6(x10711,x10713,x10712)+P6(x10711,f6(x10711,x10712),f6(x10711,x10713))
% 26.60/26.85 [1073]~P32(x10731)+~P5(x10731,x10733,x10732)+P5(x10731,f6(x10731,x10732),f6(x10731,x10733))
% 26.60/26.85 [1075]~P41(x10751)+~P5(x10751,x10753,x10752)+P5(x10751,f6(x10751,x10752),f6(x10751,x10753))
% 26.60/26.85 [1106]~P32(x11061)+~P6(x11061,x11063,f6(x11061,x11062))+P6(x11061,x11062,f6(x11061,x11063))
% 26.60/26.85 [1108]~P32(x11081)+~P5(x11081,x11083,f6(x11081,x11082))+P5(x11081,x11082,f6(x11081,x11083))
% 26.60/26.85 [1110]~P32(x11101)+~P6(x11101,f6(x11101,x11103),x11102)+P6(x11101,f6(x11101,x11102),x11103)
% 26.60/26.85 [1112]~P32(x11121)+~P5(x11121,f6(x11121,x11123),x11122)+P5(x11121,f6(x11121,x11122),x11123)
% 26.60/26.85 [1126]~P5(a2,x11263,x11261)+~E(f11(a2,x11261,x11263),x11262)+E(x11261,f12(a2,x11262,x11263))
% 26.60/26.85 [1127]~P5(a2,x11272,x11271)+~E(x11271,f12(a2,x11273,x11272))+E(f11(a2,x11271,x11272),x11273)
% 26.60/26.85 [1139]~P32(x11391)+P6(x11391,x11392,x11393)+~P6(x11391,f6(x11391,x11393),f6(x11391,x11392))
% 26.60/26.85 [1140]~P32(x11401)+P5(x11401,x11402,x11403)+~P5(x11401,f6(x11401,x11403),f6(x11401,x11402))
% 26.60/26.85 [1141]~P41(x11411)+P5(x11411,x11412,x11413)+~P5(x11411,f6(x11411,x11413),f6(x11411,x11412))
% 26.60/26.85 [1223]~P32(x12231)+~P6(x12231,x12232,x12233)+P6(x12231,f11(x12231,x12232,x12233),f5(x12231))
% 26.60/26.85 [1224]~P32(x12241)+~P5(x12241,x12242,x12243)+P5(x12241,f11(x12241,x12242,x12243),f5(x12241))
% 26.60/26.85 [1332]~P8(a2,x13321,x13323)+~P8(a2,x13321,x13322)+P8(a2,x13321,f11(a2,x13322,x13323))
% 26.60/26.85 [1335]~P32(x13351)+P6(x13351,x13352,x13353)+~P6(x13351,f11(x13351,x13352,x13353),f5(x13351))
% 26.60/26.85 [1336]~P32(x13361)+P5(x13361,x13362,x13363)+~P5(x13361,f11(x13361,x13362,x13363),f5(x13361))
% 26.60/26.85 [1444]P8(a3,x14441,x14442)+~P8(a3,x14441,x14443)+~P8(a3,x14441,f11(a3,x14442,x14443))
% 26.60/26.85 [1509]~P6(a2,x15093,x15091)+~P6(a2,x15093,x15092)+P6(a2,f11(a2,x15091,x15092),f11(a2,x15091,x15093))
% 26.60/26.85 [1510]~P6(a2,x15101,x15103)+~P5(a2,x15102,x15101)+P6(a2,f11(a2,x15101,x15102),f11(a2,x15103,x15102))
% 26.60/26.85 [1586]~P5(a2,x15863,x15862)+~P5(a2,f12(a2,x15861,x15863),x15862)+P5(a2,x15861,f11(a2,x15862,x15863))
% 26.60/26.85 [1587]~P5(a2,x15872,x15873)+~P5(a2,x15871,f11(a2,x15873,x15872))+P5(a2,f12(a2,x15871,x15872),x15873)
% 26.60/26.85 [730]~P57(x7301)+~E(x7302,f5(f63(x7301)))+E(f42(f15(x7301,x7302),x7303),f5(x7301))
% 26.60/26.85 [761]~P57(x7611)+~E(x7612,f5(x7611))+E(f24(x7611,x7612,x7613),f5(f63(x7611)))
% 26.60/26.85 [762]~P34(x7621)+~E(x7622,f5(x7621))+E(f16(x7621,x7622,x7623),f5(f63(x7621)))
% 26.60/26.85 [798]~P57(x7981)+~E(x7983,f5(f63(x7981)))+E(f24(x7981,x7982,x7983),f5(f63(x7981)))
% 26.60/26.85 [856]~P57(x8561)+E(f19(x8561,x8562,x8563),f5(a2))+E(f42(f15(x8561,x8563),x8562),f5(x8561))
% 26.60/26.85 [866]~P34(x8662)+E(x8661,f5(x8662))+~E(f16(x8662,x8661,x8663),f5(f63(x8662)))
% 26.60/26.85 [867]~P34(x8672)+E(x8671,f5(x8672))+~E(f18(x8672,x8671,x8673),f5(f63(x8672)))
% 26.60/26.85 [888]~P34(x8882)+~E(f18(x8882,x8883,x8881),f5(f63(x8882)))+E(x8881,f5(f63(x8882)))
% 26.60/26.85 [1160]~P54(x11601)+~P6(f63(x11601),x11603,x11602)+P9(x11601,f11(f63(x11601),x11602,x11603))
% 26.60/26.85 [1252]~P54(x12521)+P6(f63(x12521),x12522,x12523)+~P9(x12521,f11(f63(x12521),x12523,x12522))
% 26.60/26.85 [1253]~P54(x12531)+P5(f63(x12531),x12532,x12533)+~P9(x12531,f11(f63(x12531),x12533,x12532))
% 26.60/26.85 [1352]~P6(a2,x13521,x13523)+~P6(a2,x13523,x13522)+P6(a2,f12(a2,x13521,f10(a2)),x13522)
% 26.60/26.85 [1361]~P6(a2,x13613,x13612)+P6(a2,x13611,f12(a2,x13612,f10(a2)))+~E(x13611,f12(a2,x13613,f10(a2)))
% 26.60/26.85 [1552]P6(a2,x15522,x15521)+E(f12(a2,x15521,f60(x15521,x15522,x15523)),x15522)+P77(f42(x15523,f11(a2,x15522,x15521)))
% 26.60/26.85 [1553]P6(a2,x15532,x15531)+E(f12(a2,x15531,f28(x15531,x15532,x15533)),x15532)+P77(f42(x15533,f11(a2,x15532,x15531)))
% 26.60/26.85 [1560]E(f12(a2,x15601,f60(x15601,x15602,x15603)),x15602)+P77(f42(x15603,f11(a2,x15602,x15601)))+~P77(f42(x15603,f5(a2)))
% 26.60/26.85 [1561]E(f12(a2,x15611,f28(x15611,x15612,x15613)),x15612)+P77(f42(x15613,f11(a2,x15612,x15611)))+~P77(f42(x15613,f5(a2)))
% 26.60/26.85 [1572]~P5(a2,x15722,x15723)+~P5(a2,x15722,x15721)+E(f11(a2,f11(a2,x15721,x15722),f11(a2,x15723,x15722)),f11(a2,x15721,x15723))
% 26.60/26.85 [1591]~P6(a2,x15912,x15913)+~P77(f42(x15911,f11(a2,x15912,x15913)))+P77(f42(x15911,f5(a2)))
% 26.60/26.85 [1689]P6(a2,x16891,x16892)+~P77(f42(x16893,f60(x16892,x16891,x16893)))+P77(f42(x16893,f11(a2,x16891,x16892)))
% 26.60/26.85 [1690]P6(a2,x16901,x16902)+~P77(f42(x16903,f28(x16902,x16901,x16903)))+P77(f42(x16903,f11(a2,x16901,x16902)))
% 26.60/26.85 [1693]~P77(f42(x16931,f60(x16933,x16932,x16931)))+P77(f42(x16931,f11(a2,x16932,x16933)))+~P77(f42(x16931,f5(a2)))
% 26.60/26.85 [1694]~P77(f42(x16941,f28(x16943,x16942,x16941)))+P77(f42(x16941,f11(a2,x16942,x16943)))+~P77(f42(x16941,f5(a2)))
% 26.60/26.85 [733]~P27(x7331)+~E(x7333,f5(a2))+E(f42(f42(f22(x7331),x7332),x7333),f10(x7331))
% 26.60/26.85 [742]~P69(x7421)+~E(x7423,f5(x7421))+E(f42(f42(f9(x7421),x7422),x7423),f5(x7421))
% 26.60/26.85 [743]~P69(x7431)+~E(x7432,f5(x7431))+E(f42(f42(f9(x7431),x7432),x7433),f5(x7431))
% 26.60/26.85 [838]~P70(x8382)+E(x8381,f5(x8382))+~E(f42(f42(f22(x8382),x8381),x8383),f5(x8382))
% 26.60/26.85 [860]~P46(x8601)+E(f14(x8601,x8602),x8603)+~E(f42(f42(f9(x8601),x8602),x8603),f10(x8601))
% 26.60/26.85 [904]~P57(x9041)+~E(x9042,f6(x9041,x9043))+E(f42(f42(f9(x9041),x9042),x9042),f42(f42(f9(x9041),x9043),x9043))
% 26.60/26.85 [957]E(x9571,x9572)+E(x9573,f5(a1))+~E(f42(f42(f9(a1),x9573),x9571),f42(f42(f9(a1),x9573),x9572))
% 26.60/26.85 [959]E(x9591,x9592)+E(x9593,f5(a2))+~E(f42(f42(f9(a2),x9593),x9591),f42(f42(f9(a2),x9593),x9592))
% 26.60/26.85 [960]E(x9601,x9602)+E(x9603,f5(a1))+~E(f42(f42(f9(a1),x9601),x9603),f42(f42(f9(a1),x9602),x9603))
% 26.60/26.85 [961]E(x9611,x9612)+E(x9613,f5(a2))+~E(f42(f42(f9(a2),x9611),x9613),f42(f42(f9(a2),x9612),x9613))
% 26.60/26.85 [995]~P50(x9951)+~E(x9952,f10(x9951))+P8(x9951,x9952,f42(f42(f22(x9951),x9952),x9953))
% 26.60/26.85 [1158]E(x11581,x11582)+~P6(a2,f5(a2),x11583)+~E(f42(f42(f9(a2),x11583),x11581),f42(f42(f9(a2),x11583),x11582))
% 26.60/26.85 [1214]~P50(x12141)+~P6(a2,f5(a2),x12143)+P8(x12141,x12142,f42(f42(f22(x12141),x12142),x12143))
% 26.60/26.85 [1231]~P1(x12311)+~P6(x12311,f5(x12311),x12312)+P6(x12311,f5(x12311),f42(f42(f22(x12311),x12312),x12313))
% 26.60/26.85 [1232]~P1(x12321)+~P5(x12321,f5(x12321),x12322)+P5(x12321,f5(x12321),f42(f42(f22(x12321),x12322),x12323))
% 26.60/26.85 [1233]~P1(x12331)+~P5(x12331,f10(x12331),x12332)+P5(x12331,f10(x12331),f42(f42(f22(x12331),x12332),x12333))
% 26.60/26.85 [1325]~P8(a3,x13252,x13253)+E(x13251,f5(a3))+P8(a3,f42(f42(f9(a3),x13251),x13252),f42(f42(f9(a3),x13251),x13253))
% 26.60/26.85 [1467]~P6(a1,x14671,x14673)+~P6(a1,f5(a1),x14672)+P6(a1,f42(f42(f9(a1),x14671),x14672),f42(f42(f9(a1),x14673),x14672))
% 26.60/26.85 [1468]~P6(a1,x14682,x14683)+~P6(a1,f5(a1),x14681)+P6(a1,f42(f42(f9(a1),x14681),x14682),f42(f42(f9(a1),x14681),x14683))
% 26.60/26.85 [1472]~P6(a2,x14721,x14723)+~P6(a2,f5(a2),x14722)+P6(a2,f42(f42(f9(a2),x14721),x14722),f42(f42(f9(a2),x14723),x14722))
% 26.60/26.85 [1473]~P6(a2,x14732,x14733)+~P6(a2,f5(a2),x14731)+P6(a2,f42(f42(f9(a2),x14731),x14732),f42(f42(f9(a2),x14731),x14733))
% 26.60/26.85 [1474]~P6(a3,x14742,x14743)+~P6(a3,f5(a3),x14741)+P6(a3,f42(f42(f9(a3),x14741),x14742),f42(f42(f9(a3),x14741),x14743))
% 26.60/26.85 [1475]~P5(a1,x14752,x14753)+~P6(a1,f5(a1),x14751)+P5(a1,f42(f42(f9(a1),x14751),x14752),f42(f42(f9(a1),x14751),x14753))
% 26.60/26.85 [1476]~P5(a1,x14761,x14763)+~P6(a1,f5(a1),x14762)+P5(a1,f42(f42(f9(a1),x14761),x14762),f42(f42(f9(a1),x14763),x14762))
% 26.60/26.85 [1496]P8(a2,x14962,x14963)+E(x14961,f5(a2))+~P8(a2,f42(f42(f9(a2),x14961),x14962),f42(f42(f9(a2),x14961),x14963))
% 26.60/26.85 [1498]P8(a3,x14982,x14983)+E(x14981,f5(a3))+~P8(a3,f42(f42(f9(a3),x14981),x14982),f42(f42(f9(a3),x14981),x14983))
% 26.60/26.85 [1585]~P1(x15851)+~P6(x15851,f10(x15851),x15852)+P6(x15851,f10(x15851),f42(f42(f22(x15851),x15852),f12(a2,x15853,f10(a2))))
% 26.60/26.85 [1600]P6(a1,x16001,x16002)+~P6(a1,f5(a1),x16003)+~P6(a1,f42(f42(f9(a1),x16001),x16003),f42(f42(f9(a1),x16002),x16003))
% 26.60/26.85 [1602]P6(a2,x16021,x16022)+~P6(a2,f5(a2),x16023)+~P6(a2,f42(f42(f22(a2),x16023),x16021),f42(f42(f22(a2),x16023),x16022))
% 26.60/26.85 [1603]P5(a1,x16031,x16032)+~P6(a1,f5(a1),x16033)+~P5(a1,f42(f42(f9(a1),x16033),x16031),f42(f42(f9(a1),x16033),x16032))
% 26.60/26.85 [1604]P5(a1,x16041,x16042)+~P6(a1,f5(a1),x16043)+~P5(a1,f42(f42(f9(a1),x16041),x16043),f42(f42(f9(a1),x16042),x16043))
% 26.60/26.85 [1606]P5(a2,x16061,x16062)+~P6(a2,f5(a2),x16063)+~P5(a2,f42(f42(f9(a2),x16063),x16061),f42(f42(f9(a2),x16063),x16062))
% 26.60/26.85 [1607]P5(a2,x16071,x16072)+~P6(a2,f10(a2),x16073)+~P8(a2,f42(f42(f22(a2),x16073),x16071),f42(f42(f22(a2),x16073),x16072))
% 26.60/26.85 [1608]P5(a2,x16081,x16082)+~P6(a2,f5(a2),x16083)+~P5(a2,f42(f42(f9(a2),x16081),x16083),f42(f42(f9(a2),x16082),x16083))
% 26.60/26.85 [1610]P8(a2,x16101,x16102)+~P6(a2,f5(a2),x16103)+~P8(a2,f42(f42(f9(a2),x16103),x16101),f42(f42(f9(a2),x16103),x16102))
% 26.60/26.85 [1707]~P57(x17071)+~E(x17072,f6(x17071,x17073))+E(f42(f42(f22(x17071),x17072),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))),f42(f42(f22(x17071),x17073),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))))
% 26.60/26.85 [1788]~P57(x17882)+E(x17881,f5(f63(x17882)))+~P8(f63(x17882),f42(f42(f22(f63(x17882)),f18(x17882,f6(x17882,x17883),f18(x17882,f10(x17882),f5(f63(x17882))))),f12(a2,f19(x17882,x17883,x17881),f10(a2))),x17881)
% 26.60/26.85 [1142]~P46(x11422)+E(x11421,f5(x11422))+E(f42(f42(f22(x11422),f14(x11422,x11421)),x11423),f14(x11422,f42(f42(f22(x11422),x11421),x11423)))
% 26.60/26.85 [1506]~P52(x15062)+E(x15061,f5(x15062))+~E(f12(x15062,f42(f42(f9(x15062),x15063),x15063),f42(f42(f9(x15062),x15061),x15061)),f5(x15062))
% 26.60/26.85 [1507]~P52(x15072)+E(x15071,f5(x15072))+~E(f12(x15072,f42(f42(f9(x15072),x15071),x15071),f42(f42(f9(x15072),x15073),x15073)),f5(x15072))
% 26.60/26.85 [1515]~P27(x15152)+E(x15151,f5(a2))+E(f42(f42(f9(x15152),x15153),f42(f42(f22(x15152),x15153),f11(a2,x15151,f10(a2)))),f42(f42(f22(x15152),x15153),x15151))
% 26.60/26.85 [1569]~P1(x15691)+~P6(x15691,f10(x15691),x15692)+P6(x15691,f10(x15691),f42(f42(f9(x15691),x15692),f42(f42(f22(x15691),x15692),x15693)))
% 26.60/26.85 [1660]~P1(x16601)+~P6(x16601,f10(x16601),x16602)+P6(x16601,f42(f42(f22(x16601),x16602),x16603),f42(f42(f9(x16601),x16602),f42(f42(f22(x16601),x16602),x16603)))
% 26.60/26.85 [1665]~P52(x16652)+E(x16651,f5(x16652))+P6(x16652,f5(x16652),f12(x16652,f42(f42(f9(x16652),x16653),x16653),f42(f42(f9(x16652),x16651),x16651)))
% 26.60/26.85 [1666]~P52(x16662)+E(x16661,f5(x16662))+P6(x16662,f5(x16662),f12(x16662,f42(f42(f9(x16662),x16661),x16661),f42(f42(f9(x16662),x16663),x16663)))
% 26.60/26.85 [1667]~P57(x16671)+~E(f42(f15(x16671,x16673),f6(x16671,x16672)),f5(x16671))+P8(f63(x16671),f18(x16671,x16672,f18(x16671,f10(x16671),f5(f63(x16671)))),x16673)
% 26.60/26.85 [1669]~P57(x16691)+~E(f42(f15(x16691,x16693),x16692),f5(x16691))+P8(f63(x16691),f18(x16691,f6(x16691,x16692),f18(x16691,f10(x16691),f5(f63(x16691)))),x16693)
% 26.60/26.85 [1710]~P57(x17101)+E(f42(f15(x17101,x17102),f6(x17101,x17103)),f5(x17101))+~P8(f63(x17101),f18(x17101,x17103,f18(x17101,f10(x17101),f5(f63(x17101)))),x17102)
% 26.60/26.85 [1714]~P57(x17141)+E(f42(f15(x17141,x17142),x17143),f5(x17141))+~P8(f63(x17141),f18(x17141,f6(x17141,x17143),f18(x17141,f10(x17141),f5(f63(x17141)))),x17142)
% 26.60/26.85 [1717]~P52(x17172)+E(x17171,f5(x17172))+~P5(x17172,f12(x17172,f42(f42(f9(x17172),x17173),x17173),f42(f42(f9(x17172),x17171),x17171)),f5(x17172))
% 26.60/26.85 [1718]~P52(x17182)+E(x17181,f5(x17182))+~P5(x17182,f12(x17182,f42(f42(f9(x17182),x17181),x17181),f42(f42(f9(x17182),x17183),x17183)),f5(x17182))
% 26.60/26.85 [1712]~P14(x17121)+~P6(a2,f5(a2),x17123)+E(f42(f42(f9(x17121),f42(f42(f22(x17121),x17122),f11(a2,x17123,f10(a2)))),x17122),f42(f42(f22(x17121),x17122),x17123))
% 26.60/26.85 [1017]~P19(x10173)+E(x10171,x10172)+~E(f12(x10173,x10174,x10171),f12(x10173,x10174,x10172))
% 26.60/26.85 [1018]~P20(x10183)+E(x10181,x10182)+~E(f12(x10183,x10184,x10181),f12(x10183,x10184,x10182))
% 26.60/26.85 [1020]~P19(x10203)+E(x10201,x10202)+~E(f12(x10203,x10201,x10204),f12(x10203,x10202,x10204))
% 26.60/26.85 [1021]~P34(x10213)+E(x10211,x10212)+~E(f16(x10213,x10211,x10214),f16(x10213,x10212,x10214))
% 26.60/26.85 [1113]~P39(x11132)+~P6(f68(x11131,x11132),x11133,x11134)+P5(f68(x11131,x11132),x11133,x11134)
% 26.60/26.85 [1225]~P39(x12251)+~P5(f68(x12252,x12251),x12254,x12253)+~P6(f68(x12252,x12251),x12253,x12254)
% 26.60/26.85 [1241]~P50(x12411)+~P8(f63(x12411),x12412,x12414)+P8(f63(x12411),x12412,f24(x12411,x12413,x12414))
% 26.60/26.85 [1289]~P6(a2,x12893,x12894)+P6(a2,x12891,x12892)+~E(f12(a2,x12893,x12892),f12(a2,x12891,x12894))
% 26.60/26.85 [1358]~P50(x13581)+~P8(f63(x13581),f24(x13581,x13584,x13582),x13583)+P8(f63(x13581),x13582,x13583)
% 26.60/26.85 [1401]~P30(x14011)+~P6(x14011,x14013,x14014)+P6(x14011,f12(x14011,x14012,x14013),f12(x14011,x14012,x14014))
% 26.60/26.85 [1402]~P33(x14021)+~P6(x14021,x14023,x14024)+P6(x14021,f12(x14021,x14022,x14023),f12(x14021,x14022,x14024))
% 26.60/26.85 [1403]~P30(x14031)+~P6(x14031,x14032,x14034)+P6(x14031,f12(x14031,x14032,x14033),f12(x14031,x14034,x14033))
% 26.60/26.85 [1404]~P33(x14041)+~P6(x14041,x14042,x14044)+P6(x14041,f12(x14041,x14042,x14043),f12(x14041,x14044,x14043))
% 26.60/26.85 [1405]~P30(x14051)+~P5(x14051,x14053,x14054)+P5(x14051,f12(x14051,x14052,x14053),f12(x14051,x14052,x14054))
% 26.60/26.85 [1406]~P31(x14061)+~P5(x14061,x14063,x14064)+P5(x14061,f12(x14061,x14062,x14063),f12(x14061,x14062,x14064))
% 26.60/26.85 [1407]~P30(x14071)+~P5(x14071,x14072,x14074)+P5(x14071,f12(x14071,x14072,x14073),f12(x14071,x14074,x14073))
% 26.60/26.85 [1408]~P31(x14081)+~P5(x14081,x14082,x14084)+P5(x14081,f12(x14081,x14082,x14083),f12(x14081,x14084,x14083))
% 26.60/26.85 [1508]~P6(a2,x15082,x15084)+~P6(a2,x15081,x15083)+P6(a2,f12(a2,x15081,x15082),f12(a2,x15083,x15084))
% 26.60/26.85 [1511]~P6(a3,x15111,x15113)+~P5(a3,x15112,x15114)+P6(a3,f12(a3,x15111,x15112),f12(a3,x15113,x15114))
% 26.60/26.85 [1512]~P5(a2,x15122,x15124)+~P5(a2,x15121,x15123)+P5(a2,f12(a2,x15121,x15122),f12(a2,x15123,x15124))
% 26.60/26.85 [1577]~P30(x15771)+P6(x15771,x15772,x15773)+~P6(x15771,f12(x15771,x15774,x15772),f12(x15771,x15774,x15773))
% 26.60/26.85 [1579]~P30(x15791)+P6(x15791,x15792,x15793)+~P6(x15791,f12(x15791,x15792,x15794),f12(x15791,x15793,x15794))
% 26.60/26.85 [1581]~P30(x15811)+P5(x15811,x15812,x15813)+~P5(x15811,f12(x15811,x15814,x15812),f12(x15811,x15814,x15813))
% 26.60/26.85 [1583]~P30(x15831)+P5(x15831,x15832,x15833)+~P5(x15831,f12(x15831,x15832,x15834),f12(x15831,x15833,x15834))
% 26.60/26.85 [1045]~P51(x10452)+~E(f18(x10452,x10453,x10451),f24(x10452,x10454,x10451))+E(x10451,f5(f63(x10452)))
% 26.60/26.85 [1565]~P51(x15652)+~E(f12(f63(x15652),f24(x15652,x15653,x15651),f18(x15652,x15654,x15651)),f5(f63(x15652)))+E(x15651,f5(f63(x15652)))
% 26.60/26.85 [1589]~E(x15893,f12(a2,x15894,x15892))+P77(f42(x15891,x15892))+~P77(f42(x15891,f11(a2,x15893,x15894)))
% 26.60/26.85 [1784]~P39(x17842)+P5(f68(x17841,x17842),x17843,x17844)+~P5(x17842,f42(x17843,f41(x17844,x17843,x17841,x17842)),f42(x17844,f41(x17844,x17843,x17841,x17842)))
% 26.60/26.85 [937]~P58(x9371)+P8(x9371,x9372,x9373)+~E(x9373,f42(f42(f9(x9371),x9372),x9374))
% 26.60/26.85 [1208]~P50(x12081)+~P8(x12081,x12082,x12084)+P8(x12081,x12082,f42(f42(f9(x12081),x12083),x12084))
% 26.60/26.85 [1209]~P50(x12091)+~P8(x12091,x12092,x12093)+P8(x12091,x12092,f42(f42(f9(x12091),x12093),x12094))
% 26.60/26.85 [1247]~P57(x12471)+~E(x12473,f5(x12471))+P8(x12471,f42(f42(f9(x12471),x12472),x12473),f42(f42(f9(x12471),x12474),x12473))
% 26.60/26.85 [1248]~P57(x12481)+~E(x12482,f5(x12481))+P8(x12481,f42(f42(f9(x12481),x12482),x12483),f42(f42(f9(x12481),x12482),x12484))
% 26.60/26.85 [1297]~P50(x12971)+P8(x12971,x12972,x12973)+~P8(x12971,f42(f42(f9(x12971),x12974),x12972),x12973)
% 26.60/26.85 [1298]~P50(x12981)+P8(x12981,x12982,x12983)+~P8(x12981,f42(f42(f9(x12981),x12982),x12984),x12983)
% 26.60/26.85 [1383]~P50(x13831)+~P5(a2,x13833,x13834)+P8(x13831,f42(f42(f22(x13831),x13832),x13833),f42(f42(f22(x13831),x13832),x13834))
% 26.60/26.85 [1390]~P57(x13901)+~P8(x13901,x13903,x13904)+P8(x13901,f42(f42(f9(x13901),x13902),x13903),f42(f42(f9(x13901),x13902),x13904))
% 26.60/26.85 [1391]~P57(x13911)+~P8(x13911,x13912,x13914)+P8(x13911,f42(f42(f9(x13911),x13912),x13913),f42(f42(f9(x13911),x13914),x13913))
% 26.60/26.85 [1392]~P50(x13921)+~P8(x13921,x13922,x13924)+P8(x13921,f42(f42(f22(x13921),x13922),x13923),f42(f42(f22(x13921),x13924),x13923))
% 26.60/26.85 [1461]~P5(a2,x14612,x14614)+~P5(a2,x14611,x14613)+P5(a2,f42(f42(f9(a2),x14611),x14612),f42(f42(f9(a2),x14613),x14614))
% 26.60/26.85 [1022]~P34(x10223)+E(x10221,x10222)+~E(f18(x10223,x10224,x10221),f18(x10223,x10225,x10222))
% 26.60/26.85 [1023]~P34(x10233)+E(x10231,x10232)+~E(f18(x10233,x10231,x10234),f18(x10233,x10232,x10235))
% 26.60/26.85 [1181]~P39(x11811)+P5(x11811,f42(x11812,x11813),f42(x11814,x11813))+~P5(f68(x11815,x11811),x11812,x11814)
% 26.60/26.85 [1455]~P51(x14552)+~E(f12(f63(x14552),x14553,f24(x14552,x14554,x14555)),f18(x14552,x14551,x14555))+E(x14551,f42(f15(x14552,x14553),x14554))
% 26.60/26.85 [1483]~P51(x14832)+E(x14831,f25(x14832,x14833,x14834))+~E(f12(f63(x14832),x14833,f24(x14832,x14834,x14831)),f18(x14832,x14835,x14831))
% 26.60/26.85 [1620]~E(x16202,x16204)+~P76(x16201)+E(f12(x16201,f42(f42(f9(x16201),x16202),x16203),f42(f42(f9(x16201),x16204),x16205)),f12(x16201,f42(f42(f9(x16201),x16202),x16205),f42(f42(f9(x16201),x16204),x16203)))
% 26.60/26.85 [1732]~P5(a2,x17323,x17322)+E(x17321,f12(a2,f42(f42(f9(a2),f11(a2,x17322,x17323)),x17324),x17325))+~E(f12(a2,f42(f42(f9(a2),x17323),x17324),x17321),f12(a2,f42(f42(f9(a2),x17322),x17324),x17325))
% 26.60/26.85 [1733]~P5(a2,x17332,x17331)+E(f12(a2,f42(f42(f9(a2),f11(a2,x17331,x17332)),x17333),x17334),x17335)+~E(f12(a2,f42(f42(f9(a2),x17331),x17333),x17334),f12(a2,f42(f42(f9(a2),x17332),x17333),x17335))
% 26.60/26.85 [1742]~P5(a2,x17424,x17421)+~E(x17425,f12(a2,f42(f42(f9(a2),f11(a2,x17421,x17424)),x17422),x17423))+E(f12(a2,f42(f42(f9(a2),x17421),x17422),x17423),f12(a2,f42(f42(f9(a2),x17424),x17422),x17425))
% 26.60/26.85 [1743]~P5(a2,x17434,x17431)+~E(f12(a2,f42(f42(f9(a2),f11(a2,x17431,x17434)),x17432),x17433),x17435)+E(f12(a2,f42(f42(f9(a2),x17431),x17432),x17433),f12(a2,f42(f42(f9(a2),x17434),x17432),x17435))
% 26.60/26.85 [1764]~P5(a2,x17643,x17642)+P6(a2,x17641,f12(a2,f42(f42(f9(a2),f11(a2,x17642,x17643)),x17644),x17645))+~P6(a2,f12(a2,f42(f42(f9(a2),x17643),x17644),x17641),f12(a2,f42(f42(f9(a2),x17642),x17644),x17645))
% 26.60/26.85 [1765]~P5(a2,x17653,x17652)+P5(a2,x17651,f12(a2,f42(f42(f9(a2),f11(a2,x17652,x17653)),x17654),x17655))+~P5(a2,f12(a2,f42(f42(f9(a2),x17653),x17654),x17651),f12(a2,f42(f42(f9(a2),x17652),x17654),x17655))
% 26.60/26.85 [1766]~P5(a2,x17662,x17661)+P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17661,x17662)),x17663),x17664),x17665)+~P6(a2,f12(a2,f42(f42(f9(a2),x17661),x17663),x17664),f12(a2,f42(f42(f9(a2),x17662),x17663),x17665))
% 26.60/26.85 [1767]~P5(a2,x17672,x17671)+P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17671,x17672)),x17673),x17674),x17675)+~P5(a2,f12(a2,f42(f42(f9(a2),x17671),x17673),x17674),f12(a2,f42(f42(f9(a2),x17672),x17673),x17675))
% 26.60/26.85 [1774]~P5(a2,x17741,x17744)+~P6(a2,x17743,f12(a2,f42(f42(f9(a2),f11(a2,x17744,x17741)),x17742),x17745))+P6(a2,f12(a2,f42(f42(f9(a2),x17741),x17742),x17743),f12(a2,f42(f42(f9(a2),x17744),x17742),x17745))
% 26.60/26.85 [1775]~P5(a2,x17751,x17754)+~P5(a2,x17753,f12(a2,f42(f42(f9(a2),f11(a2,x17754,x17751)),x17752),x17755))+P5(a2,f12(a2,f42(f42(f9(a2),x17751),x17752),x17753),f12(a2,f42(f42(f9(a2),x17754),x17752),x17755))
% 26.60/26.85 [1776]~P5(a2,x17764,x17761)+~P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17761,x17764)),x17762),x17763),x17765)+P6(a2,f12(a2,f42(f42(f9(a2),x17761),x17762),x17763),f12(a2,f42(f42(f9(a2),x17764),x17762),x17765))
% 26.60/26.85 [1777]~P5(a2,x17774,x17771)+~P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17771,x17774)),x17772),x17773),x17775)+P5(a2,f12(a2,f42(f42(f9(a2),x17771),x17772),x17773),f12(a2,f42(f42(f9(a2),x17774),x17772),x17775))
% 26.60/26.85 [1728]~P8(a3,x17281,x17284)+~P8(a3,x17281,f12(a3,x17282,x17285))+P8(a3,x17281,f12(a3,f12(a3,x17282,f42(f42(f9(a3),x17283),x17284)),x17285))
% 26.60/26.85 [1750]~P8(a3,x17501,x17504)+P8(a3,x17501,f12(a3,x17502,x17503))+~P8(a3,x17501,f12(a3,f12(a3,x17502,f42(f42(f9(a3),x17505),x17504)),x17503))
% 26.60/26.85 [1730]~P71(x17302)+~E(f12(x17302,f42(f42(f9(x17302),x17304),x17305),x17301),f12(x17302,f42(f42(f9(x17302),x17303),x17305),x17306))+E(x17301,f12(x17302,f42(f42(f9(x17302),f11(x17302,x17303,x17304)),x17305),x17306))
% 26.60/26.85 [1731]~P71(x17311)+~E(f12(x17311,f42(f42(f9(x17311),x17312),x17314),x17315),f12(x17311,f42(f42(f9(x17311),x17313),x17314),x17316))+E(f12(x17311,f42(f42(f9(x17311),f11(x17311,x17312,x17313)),x17314),x17315),x17316)
% 26.60/26.85 [1740]~P71(x17401)+~E(x17406,f12(x17401,f42(f42(f9(x17401),f11(x17401,x17402,x17405)),x17403),x17404))+E(f12(x17401,f42(f42(f9(x17401),x17402),x17403),x17404),f12(x17401,f42(f42(f9(x17401),x17405),x17403),x17406))
% 26.60/26.85 [1741]~P71(x17411)+~E(f12(x17411,f42(f42(f9(x17411),f11(x17411,x17412,x17415)),x17413),x17414),x17416)+E(f12(x17411,f42(f42(f9(x17411),x17412),x17413),x17414),f12(x17411,f42(f42(f9(x17411),x17415),x17413),x17416))
% 26.60/26.85 [1768]~P66(x17681)+~P6(x17681,f12(x17681,f42(f42(f9(x17681),x17684),x17685),x17682),f12(x17681,f42(f42(f9(x17681),x17683),x17685),x17686))+P6(x17681,x17682,f12(x17681,f42(f42(f9(x17681),f11(x17681,x17683,x17684)),x17685),x17686))
% 26.60/26.85 [1769]~P66(x17691)+~P5(x17691,f12(x17691,f42(f42(f9(x17691),x17694),x17695),x17692),f12(x17691,f42(f42(f9(x17691),x17693),x17695),x17696))+P5(x17691,x17692,f12(x17691,f42(f42(f9(x17691),f11(x17691,x17693,x17694)),x17695),x17696))
% 26.60/26.85 [1770]~P66(x17701)+~P6(x17701,f12(x17701,f42(f42(f9(x17701),x17702),x17704),x17705),f12(x17701,f42(f42(f9(x17701),x17703),x17704),x17706))+P6(x17701,f12(x17701,f42(f42(f9(x17701),f11(x17701,x17702,x17703)),x17704),x17705),x17706)
% 26.60/26.85 [1771]~P66(x17711)+~P5(x17711,f12(x17711,f42(f42(f9(x17711),x17712),x17714),x17715),f12(x17711,f42(f42(f9(x17711),x17713),x17714),x17716))+P5(x17711,f12(x17711,f42(f42(f9(x17711),f11(x17711,x17712,x17713)),x17714),x17715),x17716)
% 26.60/26.85 [1778]~P66(x17781)+~P6(x17781,x17784,f12(x17781,f42(f42(f9(x17781),f11(x17781,x17785,x17782)),x17783),x17786))+P6(x17781,f12(x17781,f42(f42(f9(x17781),x17782),x17783),x17784),f12(x17781,f42(f42(f9(x17781),x17785),x17783),x17786))
% 26.60/26.85 [1779]~P66(x17791)+~P5(x17791,x17794,f12(x17791,f42(f42(f9(x17791),f11(x17791,x17795,x17792)),x17793),x17796))+P5(x17791,f12(x17791,f42(f42(f9(x17791),x17792),x17793),x17794),f12(x17791,f42(f42(f9(x17791),x17795),x17793),x17796))
% 26.60/26.85 [1780]~P66(x17801)+~P6(x17801,f12(x17801,f42(f42(f9(x17801),f11(x17801,x17802,x17805)),x17803),x17804),x17806)+P6(x17801,f12(x17801,f42(f42(f9(x17801),x17802),x17803),x17804),f12(x17801,f42(f42(f9(x17801),x17805),x17803),x17806))
% 26.60/26.85 [1781]~P66(x17811)+~P5(x17811,f12(x17811,f42(f42(f9(x17811),f11(x17811,x17812,x17815)),x17813),x17814),x17816)+P5(x17811,f12(x17811,f42(f42(f9(x17811),x17812),x17813),x17814),f12(x17811,f42(f42(f9(x17811),x17815),x17813),x17816))
% 26.60/26.85 [900]~P36(x9002)+~P6(x9002,f5(x9002),x9001)+E(f13(x9002,x9001),f10(x9002))+E(x9001,f5(x9002))
% 26.60/26.85 [1095]~P12(x10952)+~P6(x10952,f14(x10952,x10951),f5(x10952))+P6(x10952,x10951,f5(x10952))+E(x10951,f5(x10952))
% 26.60/26.85 [1096]~P12(x10962)+~P6(x10962,f5(x10962),f14(x10962,x10961))+P6(x10962,f5(x10962),x10961)+E(x10961,f5(x10962))
% 26.60/26.85 [1229]~P11(x12291)+P6(x12291,f10(x12291),x12292)+~P6(x12291,f14(x12291,x12292),f10(x12291))+P5(x12291,x12292,f5(x12291))
% 26.60/26.85 [1230]~P11(x12301)+P5(x12301,f10(x12301),x12302)+~P5(x12301,f14(x12301,x12302),f10(x12301))+P5(x12301,x12302,f5(x12301))
% 26.60/26.85 [1258]~P11(x12581)+~P6(x12581,x12582,f10(x12581))+~P6(x12581,f5(x12581),x12582)+P6(x12581,f10(x12581),f14(x12581,x12582))
% 26.60/26.85 [1259]~P12(x12591)+~P6(x12591,x12592,f10(x12591))+~P6(x12591,f5(x12591),x12592)+P6(x12591,f10(x12591),f14(x12591,x12592))
% 26.60/26.85 [1260]~P11(x12601)+~P5(x12601,x12602,f10(x12601))+~P6(x12601,f5(x12601),x12602)+P5(x12601,f10(x12601),f14(x12601,x12602))
% 26.60/26.85 [1261]~P12(x12611)+~P5(x12611,x12612,f10(x12611))+~P6(x12611,f5(x12611),x12612)+P5(x12611,f10(x12611),f14(x12611,x12612))
% 26.60/26.85 [771]P9(x7712,x7711)+~P54(x7712)+P9(x7712,f6(f63(x7712),x7711))+E(x7711,f5(f63(x7712)))
% 26.60/26.85 [854]~P36(x8542)+P6(x8542,f5(x8542),x8541)+E(x8541,f5(x8542))+E(f13(x8542,x8541),f6(x8542,f10(x8542)))
% 26.60/26.85 [998]~P54(x9982)+~P6(f63(x9982),f5(f63(x9982)),x9981)+E(f13(f63(x9982),x9981),f10(f63(x9982)))+E(x9981,f5(f63(x9982)))
% 26.60/26.85 [772]~P27(x7722)+~P75(x7722)+E(x7721,f5(a2))+E(f42(f42(f22(x7722),f5(x7722)),x7721),f5(x7722))
% 26.60/26.85 [895]~P70(x8952)+E(x8951,f10(x8952))+E(x8951,f6(x8952,f10(x8952)))+~E(f42(f42(f9(x8952),x8951),x8951),f10(x8952))
% 26.60/26.85 [943]~E(x9432,f10(a3))+~E(x9431,f10(a3))+~P6(a3,f5(a3),x9431)+E(f42(f42(f9(a3),x9431),x9432),f10(a3))
% 26.60/26.85 [966]~P54(x9662)+P6(f63(x9662),f5(f63(x9662)),x9661)+E(x9661,f5(f63(x9662)))+E(f13(f63(x9662),x9661),f6(f63(x9662),f10(f63(x9662))))
% 26.60/26.85 [881]P6(x8813,x8811,x8812)+~P54(x8813)+E(x8811,x8812)+P6(x8813,x8812,x8811)
% 26.60/26.85 [887]P6(x8873,x8871,x8872)+~P40(x8873)+E(x8871,x8872)+P6(x8873,x8872,x8871)
% 26.60/26.85 [889]P5(x8891,x8892,x8893)+~E(x8892,x8893)+~P40(x8891)+P6(x8891,x8892,x8893)
% 26.60/26.85 [946]~P43(x9463)+~P5(x9463,x9462,x9461)+E(x9461,x9462)+P6(x9463,x9462,x9461)
% 26.60/26.85 [948]~P40(x9483)+~P5(x9483,x9481,x9482)+E(x9481,x9482)+P6(x9483,x9481,x9482)
% 26.60/26.85 [954]~P43(x9543)+~P5(x9543,x9541,x9542)+E(x9541,x9542)+P6(x9543,x9541,x9542)
% 26.60/26.85 [1028]~P5(x10283,x10282,x10281)+~P5(x10283,x10281,x10282)+E(x10281,x10282)+~P43(x10283)
% 26.60/26.85 [1080]P5(x10801,x10803,x10802)+~P38(x10801)+~P5(x10801,x10802,x10803)+P6(x10801,x10802,x10803)
% 26.60/26.85 [699]~P57(x6993)+~P37(x6993)+E(x6991,x6992)+~E(f15(x6993,x6991),f15(x6993,x6992))
% 26.60/26.85 [1243]~P54(x12431)+P9(x12431,x12432)+P6(x12431,f5(x12431),x12433)+~P9(x12431,f18(x12431,x12433,x12432))
% 26.60/26.85 [1274]~P12(x12741)+~P6(x12741,x12743,x12742)+~P6(x12741,x12742,f5(x12741))+P6(x12741,f14(x12741,x12742),f14(x12741,x12743))
% 26.60/26.85 [1275]~P12(x12751)+~P5(x12751,x12753,x12752)+~P6(x12751,x12752,f5(x12751))+P5(x12751,f14(x12751,x12752),f14(x12751,x12753))
% 26.60/26.85 [1276]~P12(x12761)+~P6(x12761,x12763,x12762)+~P6(x12761,f5(x12761),x12763)+P6(x12761,f14(x12761,x12762),f14(x12761,x12763))
% 26.60/26.85 [1277]~P12(x12771)+~P5(x12771,x12773,x12772)+~P6(x12771,f5(x12771),x12773)+P5(x12771,f14(x12771,x12772),f14(x12771,x12773))
% 26.60/26.85 [1337]~P12(x13371)+P6(x13371,x13372,x13373)+~P6(x13371,x13372,f5(x13371))+~P6(x13371,f14(x13371,x13373),f14(x13371,x13372))
% 26.60/26.85 [1338]~P12(x13381)+P5(x13381,x13382,x13383)+~P6(x13381,x13382,f5(x13381))+~P5(x13381,f14(x13381,x13383),f14(x13381,x13382))
% 26.60/26.85 [1339]~P12(x13391)+P6(x13391,x13392,x13393)+~P6(x13391,f5(x13391),x13393)+~P6(x13391,f14(x13391,x13393),f14(x13391,x13392))
% 26.60/26.85 [1340]~P12(x13401)+P5(x13401,x13402,x13403)+~P6(x13401,f5(x13401),x13403)+~P5(x13401,f14(x13401,x13403),f14(x13401,x13402))
% 26.60/26.85 [1360]E(x13601,x13602)+~P5(a2,x13603,x13602)+~P5(a2,x13603,x13601)+~E(f11(a2,x13601,x13603),f11(a2,x13602,x13603))
% 26.60/26.85 [1429]~P28(x14291)+~P6(x14291,f5(x14291),x14293)+~P6(x14291,f5(x14291),x14292)+P6(x14291,f5(x14291),f12(x14291,x14292,x14293))
% 26.60/26.85 [1433]~P28(x14331)+~P6(x14331,x14333,f5(x14331))+~P6(x14331,x14332,f5(x14331))+P6(x14331,f12(x14331,x14332,x14333),f5(x14331))
% 26.60/26.85 [1434]~P28(x14341)+~P6(x14341,x14343,f5(x14341))+~P5(x14341,x14342,f5(x14341))+P6(x14341,f12(x14341,x14342,x14343),f5(x14341))
% 26.60/26.85 [1435]~P28(x14351)+~P6(x14351,x14352,f5(x14351))+~P5(x14351,x14353,f5(x14351))+P6(x14351,f12(x14351,x14352,x14353),f5(x14351))
% 26.60/26.85 [1436]~P28(x14361)+~P5(x14361,x14363,f5(x14361))+~P5(x14361,x14362,f5(x14361))+P5(x14361,f12(x14361,x14362,x14363),f5(x14361))
% 26.60/26.85 [1566]~P8(a2,x15661,x15663)+P8(a2,x15661,x15662)+~P5(a2,x15662,x15663)+~P8(a2,x15661,f11(a2,x15663,x15662))
% 26.60/26.85 [1567]~P8(a2,x15671,x15673)+P8(a2,x15671,x15672)+~P5(a2,x15673,x15672)+~P8(a2,x15671,f11(a2,x15672,x15673))
% 26.60/26.85 [1681]~P5(a2,x16813,x16811)+P6(a2,x16811,x16812)+~P5(a2,x16813,x16812)+~P6(a2,f11(a2,x16811,x16813),f11(a2,x16812,x16813))
% 26.60/26.85 [1682]~P5(a2,x16823,x16821)+P5(a2,x16821,x16822)+~P5(a2,x16823,x16822)+~P5(a2,f11(a2,x16821,x16823),f11(a2,x16822,x16823))
% 26.60/26.85 [834]~P34(x8341)+~E(x8342,f5(x8341))+~E(x8343,f5(f63(x8341)))+E(f18(x8341,x8342,x8343),f5(f63(x8341)))
% 26.60/26.85 [899]~P57(x8992)+E(x8991,f5(x8992))+~E(f24(x8992,x8991,x8993),f5(f63(x8992)))+E(x8993,f5(f63(x8992)))
% 26.60/26.85 [1003]~P57(x10032)+~E(f19(x10032,x10033,x10031),f5(a2))+~E(f42(f15(x10032,x10031),x10033),f5(x10032))+E(x10031,f5(f63(x10032)))
% 26.60/26.85 [1039]~P54(x10391)+~P9(x10391,x10393)+~P9(x10391,x10392)+P9(x10391,f12(f63(x10391),x10392,x10393))
% 26.60/26.85 [1128]P9(x11282,x11281)+~P54(x11282)+~P9(x11282,f18(x11282,x11283,x11281))+E(x11281,f5(f63(x11282)))
% 26.60/26.85 [1163]~P54(x11633)+E(x11631,x11632)+~P5(f63(x11633),x11631,x11632)+P9(x11633,f11(f63(x11633),x11632,x11631))
% 26.60/26.85 [1185]~P54(x11851)+~P6(x11851,f5(x11851),x11852)+P9(x11851,f18(x11851,x11852,x11853))+~E(x11853,f5(f63(x11851)))
% 26.60/26.85 [1441]~P2(x14411)+~P5(a1,x14413,f21(x14411,x14412))+~P6(a1,f5(a1),x14413)+P5(a1,f21(x14411,f14(x14411,x14412)),f14(a1,x14413))
% 26.60/26.85 [1725]~P46(x17252)+E(x17251,f5(x17252))+E(x17253,f5(x17252))+E(f42(f42(f9(x17252),f42(f42(f9(x17252),f14(x17252,x17253)),f12(x17252,x17253,x17251))),f14(x17252,x17251)),f12(x17252,f14(x17252,x17253),f14(x17252,x17251)))
% 26.60/26.85 [1726]~P46(x17262)+E(x17261,f5(x17262))+E(x17263,f5(x17262))+E(f42(f42(f9(x17262),f42(f42(f9(x17262),f14(x17262,x17263)),f11(x17262,x17261,x17263))),f14(x17262,x17261)),f11(x17262,f14(x17262,x17263),f14(x17262,x17261)))
% 26.60/26.85 [1748]~P4(x17482)+E(x17481,f5(x17482))+E(x17483,f5(x17482))+E(f42(f42(f9(x17482),f42(f42(f9(x17482),f12(x17482,x17483,x17481)),f14(x17482,x17483))),f14(x17482,x17481)),f12(x17482,f14(x17482,x17483),f14(x17482,x17481)))
% 26.60/26.85 [846]~P64(x8462)+E(x8461,f5(x8462))+E(x8463,f5(x8462))+~E(f42(f42(f9(x8462),x8463),x8461),f5(x8462))
% 26.60/26.85 [847]~P69(x8472)+E(x8471,f5(x8472))+E(x8473,f5(x8472))+~E(f42(f42(f9(x8472),x8473),x8471),f5(x8472))
% 26.60/26.85 [1040]~P57(x10403)+E(x10401,x10402)+E(x10401,f6(x10403,x10402))+~E(f42(f42(f9(x10403),x10401),x10401),f42(f42(f9(x10403),x10402),x10402))
% 26.60/26.85 [1393]~P1(x13931)+~P6(x13931,f10(x13931),x13932)+~P6(a2,f5(a2),x13933)+P6(x13931,f10(x13931),f42(f42(f22(x13931),x13932),x13933))
% 26.60/26.85 [1409]~P52(x14091)+~P6(x14091,x14093,f5(x14091))+~P6(x14091,x14092,f5(x14091))+P6(x14091,f5(x14091),f42(f42(f9(x14091),x14092),x14093))
% 26.60/26.85 [1411]~P66(x14111)+~P5(x14111,x14113,f5(x14111))+~P5(x14111,x14112,f5(x14111))+P5(x14111,f5(x14111),f42(f42(f9(x14111),x14112),x14113))
% 26.60/26.85 [1412]~P52(x14121)+~P5(x14121,x14123,f5(x14121))+~P5(x14121,x14122,f5(x14121))+P5(x14121,f5(x14121),f42(f42(f9(x14121),x14122),x14123))
% 26.60/26.85 [1413]~P60(x14131)+~P6(x14131,f5(x14131),x14133)+~P6(x14131,f5(x14131),x14132)+P6(x14131,f5(x14131),f42(f42(f9(x14131),x14132),x14133))
% 26.60/26.85 [1414]~P1(x14141)+~P6(x14141,f10(x14141),x14143)+~P6(x14141,f10(x14141),x14142)+P6(x14141,f10(x14141),f42(f42(f9(x14141),x14142),x14143))
% 26.60/26.85 [1415]~P59(x14151)+~P5(x14151,f5(x14151),x14153)+~P5(x14151,f5(x14151),x14152)+P5(x14151,f5(x14151),f42(f42(f9(x14151),x14152),x14153))
% 26.60/26.86 [1416]~P66(x14161)+~P5(x14161,f5(x14161),x14163)+~P5(x14161,f5(x14161),x14162)+P5(x14161,f5(x14161),f42(f42(f9(x14161),x14162),x14163))
% 26.60/26.86 [1417]~P52(x14171)+~P5(x14171,f5(x14171),x14173)+~P5(x14171,f5(x14171),x14172)+P5(x14171,f5(x14171),f42(f42(f9(x14171),x14172),x14173))
% 26.60/26.86 [1419]~P60(x14191)+~P6(x14191,x14193,f5(x14191))+~P6(x14191,f5(x14191),x14192)+P6(x14191,f42(f42(f9(x14191),x14192),x14193),f5(x14191))
% 26.60/26.86 [1420]~P60(x14201)+~P6(x14201,x14202,f5(x14201))+~P6(x14201,f5(x14201),x14203)+P6(x14201,f42(f42(f9(x14201),x14202),x14203),f5(x14201))
% 26.60/26.86 [1423]~P59(x14231)+~P5(x14231,x14233,f5(x14231))+~P5(x14231,f5(x14231),x14232)+P5(x14231,f42(f42(f9(x14231),x14232),x14233),f5(x14231))
% 26.60/26.86 [1425]~P59(x14251)+~P5(x14251,x14252,f5(x14251))+~P5(x14251,f5(x14251),x14253)+P5(x14251,f42(f42(f9(x14251),x14252),x14253),f5(x14251))
% 26.60/26.86 [1426]~P52(x14261)+~P5(x14261,x14263,f5(x14261))+~P5(x14261,f5(x14261),x14262)+P5(x14261,f42(f42(f9(x14261),x14262),x14263),f5(x14261))
% 26.60/26.86 [1427]~P52(x14271)+~P5(x14271,x14272,f5(x14271))+~P5(x14271,f5(x14271),x14273)+P5(x14271,f42(f42(f9(x14271),x14272),x14273),f5(x14271))
% 26.60/26.86 [1445]~P52(x14451)+P5(x14451,x14452,f5(x14451))+P5(x14451,x14453,f5(x14451))+~P5(x14451,f42(f42(f9(x14451),x14453),x14452),f5(x14451))
% 26.60/26.86 [1446]~P52(x14461)+P5(x14461,x14462,f5(x14461))+P5(x14461,f5(x14461),x14463)+~P5(x14461,f5(x14461),f42(f42(f9(x14461),x14463),x14462))
% 26.60/26.86 [1447]~P52(x14471)+P5(x14471,x14472,f5(x14471))+P5(x14471,f5(x14471),x14473)+~P5(x14471,f5(x14471),f42(f42(f9(x14471),x14472),x14473))
% 26.60/26.86 [1448]~P52(x14481)+P5(x14481,f5(x14481),x14482)+P5(x14481,x14482,f5(x14481))+~P5(x14481,f5(x14481),f42(f42(f9(x14481),x14483),x14482))
% 26.60/26.86 [1449]~P52(x14491)+P5(x14491,f5(x14491),x14492)+P5(x14491,x14492,f5(x14491))+~P5(x14491,f5(x14491),f42(f42(f9(x14491),x14492),x14493))
% 26.60/26.86 [1450]~P52(x14501)+P5(x14501,f5(x14501),x14502)+P5(x14501,x14502,f5(x14501))+~P5(x14501,f42(f42(f9(x14501),x14503),x14502),f5(x14501))
% 26.60/26.86 [1451]~P52(x14511)+P5(x14511,f5(x14511),x14512)+P5(x14511,x14512,f5(x14511))+~P5(x14511,f42(f42(f9(x14511),x14512),x14513),f5(x14511))
% 26.60/26.86 [1452]~P52(x14521)+P5(x14521,f5(x14521),x14522)+P5(x14521,f5(x14521),x14523)+~P5(x14521,f42(f42(f9(x14521),x14522),x14523),f5(x14521))
% 26.60/26.86 [1491]~P60(x14911)+P6(x14911,f5(x14911),x14912)+~P6(x14911,f5(x14911),x14913)+~P6(x14911,f5(x14911),f42(f42(f9(x14911),x14913),x14912))
% 26.60/26.86 [1492]~P60(x14921)+P6(x14921,f5(x14921),x14922)+~P6(x14921,f5(x14921),x14923)+~P6(x14921,f5(x14921),f42(f42(f9(x14921),x14922),x14923))
% 26.60/26.86 [1745]~P57(x17453)+E(x17451,x17452)+E(x17451,f6(x17453,x17452))+~E(f42(f42(f22(x17453),x17451),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))),f42(f42(f22(x17453),x17452),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))))
% 26.60/26.86 [1760]~P46(x17602)+E(x17601,f5(x17602))+E(x17603,f5(x17602))+E(f6(x17602,f42(f42(f9(x17602),f42(f42(f9(x17602),f14(x17602,x17603)),f11(x17602,x17603,x17601))),f14(x17602,x17601))),f11(x17602,f14(x17602,x17603),f14(x17602,x17601)))
% 26.60/26.86 [1117]~P54(x11171)+~P9(x11171,x11173)+~P9(x11171,x11172)+P9(x11171,f42(f42(f9(f63(x11171)),x11172),x11173))
% 26.60/26.86 [1228]~P46(x12282)+E(x12281,f5(x12282))+E(x12283,f5(x12282))+E(f42(f42(f9(x12282),f14(x12282,x12281)),f14(x12282,x12283)),f14(x12282,f42(f42(f9(x12282),x12283),x12281)))
% 26.60/26.86 [1265]~P52(x12651)+~E(x12653,f5(x12651))+~E(x12652,f5(x12651))+E(f12(x12651,f42(f42(f9(x12651),x12652),x12652),f42(f42(f9(x12651),x12653),x12653)),f5(x12651))
% 26.60/26.86 [1559]~P6(a3,x15592,x15593)+~P6(a3,f5(a3),x15593)+P5(a3,f10(a3),x15591)+~E(f12(a3,x15592,f42(f42(f9(a3),x15593),x15591)),x15593)
% 26.60/26.86 [1562]~P6(a3,f5(a3),x15623)+~P5(a3,f5(a3),x15622)+P5(a3,x15621,f10(a3))+~E(f12(a3,x15622,f42(f42(f9(a3),x15623),x15621)),x15623)
% 26.60/26.86 [1668]~P52(x16681)+~E(x16683,f5(x16681))+~E(x16682,f5(x16681))+P5(x16681,f12(x16681,f42(f42(f9(x16681),x16682),x16682),f42(f42(f9(x16681),x16683),x16683)),f5(x16681))
% 26.60/26.86 [1687]~P1(x16871)+~P6(x16871,x16872,f10(x16871))+~P6(x16871,f5(x16871),x16872)+P6(x16871,f42(f42(f9(x16871),x16872),f42(f42(f22(x16871),x16872),x16873)),f42(f42(f22(x16871),x16872),x16873))
% 26.60/26.86 [1701]~P6(a3,x17012,x17013)+~P6(a3,f5(a3),x17013)+P5(a3,f5(a3),x17011)+~P5(a3,f5(a3),f12(a3,f42(f42(f9(a3),x17013),x17011),x17012))
% 26.60/26.86 [1702]P5(a3,x17021,f5(a3))+~P6(a3,f5(a3),x17022)+~P5(a3,f5(a3),x17023)+~P6(a3,f12(a3,f42(f42(f9(a3),x17022),x17021),x17023),f5(a3))
% 26.60/26.86 [1720]~P52(x17202)+~E(x17201,f5(x17202))+~E(x17203,f5(x17202))+~P6(x17202,f5(x17202),f12(x17202,f42(f42(f9(x17202),x17203),x17203),f42(f42(f9(x17202),x17201),x17201)))
% 26.60/26.86 [1146]~P43(x11461)+~P6(x11461,x11464,x11463)+P6(x11461,x11462,x11463)+~P6(x11461,x11462,x11464)
% 26.60/26.86 [1147]~P43(x11471)+~P5(x11471,x11474,x11473)+P6(x11471,x11472,x11473)+~P6(x11471,x11472,x11474)
% 26.60/26.86 [1148]~P43(x11481)+~P5(x11481,x11482,x11484)+P6(x11481,x11482,x11483)+~P6(x11481,x11484,x11483)
% 26.60/26.86 [1149]~P38(x11491)+~P6(x11491,x11492,x11494)+P6(x11491,x11492,x11493)+~P6(x11491,x11494,x11493)
% 26.60/26.86 [1150]~P38(x11501)+~P5(x11501,x11502,x11504)+P6(x11501,x11502,x11503)+~P6(x11501,x11504,x11503)
% 26.60/26.86 [1151]~P38(x11511)+~P5(x11511,x11514,x11513)+P6(x11511,x11512,x11513)+~P6(x11511,x11512,x11514)
% 26.60/26.86 [1152]~P43(x11521)+~P5(x11521,x11524,x11523)+P5(x11521,x11522,x11523)+~P5(x11521,x11522,x11524)
% 26.60/26.86 [1153]~P38(x11531)+~P5(x11531,x11532,x11534)+P5(x11531,x11532,x11533)+~P5(x11531,x11534,x11533)
% 26.60/26.86 [1154]~P50(x11541)+~P8(x11541,x11542,x11544)+P8(x11541,x11542,x11543)+~P8(x11541,x11544,x11543)
% 26.60/26.86 [1119]~P43(x11191)+~P10(x11191,x11192)+~P5(a2,x11194,x11193)+P5(x11191,f42(x11192,x11193),f42(x11192,x11194))
% 26.60/26.86 [1249]~P4(x12492)+~P8(f63(x12492),x12493,x12494)+P8(f63(x12492),x12493,f24(x12492,x12491,x12494))+E(x12491,f5(x12492))
% 26.60/26.86 [1251]~P4(x12512)+~P8(f63(x12512),x12513,x12514)+P8(f63(x12512),f24(x12512,x12511,x12513),x12514)+E(x12511,f5(x12512))
% 26.60/26.86 [1273]~P39(x12732)+P5(f68(x12731,x12732),x12734,x12733)+~P5(f68(x12731,x12732),x12733,x12734)+P6(f68(x12731,x12732),x12733,x12734)
% 26.60/26.86 [1363]~P4(x13632)+~P8(f63(x13632),x13633,f24(x13632,x13631,x13634))+P8(f63(x13632),x13633,x13634)+E(x13631,f5(x13632))
% 26.60/26.86 [1364]~P4(x13642)+~P8(f63(x13642),f24(x13642,x13641,x13643),x13644)+P8(f63(x13642),x13643,x13644)+E(x13641,f5(x13642))
% 26.60/26.86 [1369]~P50(x13691)+~P8(x13691,x13692,x13694)+~P8(x13691,x13692,x13693)+P8(x13691,x13692,f12(x13691,x13693,x13694))
% 26.60/26.86 [1370]~P48(x13701)+~P8(x13701,x13702,x13704)+~P8(x13701,x13702,x13703)+P8(x13701,x13702,f11(x13701,x13703,x13704))
% 26.60/26.86 [1384]~P1(x13841)+~P6(x13841,x13842,x13844)+~P6(x13841,f5(x13841),x13843)+P6(x13841,x13842,f12(x13841,x13843,x13844))
% 26.60/26.86 [1385]~P28(x13851)+~P6(x13851,x13852,x13854)+~P5(x13851,f5(x13851),x13853)+P6(x13851,x13852,f12(x13851,x13853,x13854))
% 26.60/26.86 [1386]~P28(x13861)+~P5(x13861,x13862,x13864)+~P6(x13861,f5(x13861),x13863)+P6(x13861,x13862,f12(x13861,x13863,x13864))
% 26.60/26.86 [1387]~P28(x13871)+~P5(x13871,x13872,x13873)+~P5(x13871,f5(x13871),x13874)+P5(x13871,x13872,f12(x13871,x13873,x13874))
% 26.60/26.86 [1388]~P28(x13881)+~P5(x13881,x13882,x13884)+~P5(x13881,f5(x13881),x13883)+P5(x13881,x13882,f12(x13881,x13883,x13884))
% 26.60/26.86 [1076]~P4(x10761)+P8(f63(x10761),f24(x10761,x10762,x10763),x10764)+~E(x10762,f5(x10761))+~E(x10764,f5(f63(x10761)))
% 26.60/26.86 [1266]~P4(x12661)+~P8(f63(x12661),x12663,x12664)+P8(f63(x12661),f24(x12661,x12662,x12663),x12664)+~E(x12664,f5(f63(x12661)))
% 26.60/26.86 [1271]~P4(x12712)+~P8(f63(x12712),f24(x12712,x12713,x12714),x12711)+~E(x12713,f5(x12712))+E(x12711,f5(f63(x12712)))
% 26.60/26.86 [1549]~P45(x15492)+E(x15491,f5(x15492))+~P5(a1,x15493,f5(a1))+~P5(a1,f21(x15492,x15491),f42(f42(f9(a1),x15493),f21(x15492,x15494)))
% 26.60/26.86 [1234]~P1(x12343)+E(x12341,x12342)+~P6(x12343,f10(x12343),x12344)+~E(f42(f42(f22(x12343),x12344),x12341),f42(f42(f22(x12343),x12344),x12342))
% 26.60/26.86 [1522]~P1(x15221)+~P6(a2,x15223,x15224)+~P6(x15221,f10(x15221),x15222)+P6(x15221,f42(f42(f22(x15221),x15222),x15223),f42(f42(f22(x15221),x15222),x15224))
% 26.60/26.86 [1523]~P1(x15231)+~P5(a2,x15233,x15234)+~P6(x15231,f10(x15231),x15232)+P5(x15231,f42(f42(f22(x15231),x15232),x15233),f42(f42(f22(x15231),x15232),x15234))
% 26.60/26.86 [1524]~P1(x15241)+~P5(a2,x15243,x15244)+~P5(x15241,f10(x15241),x15242)+P5(x15241,f42(f42(f22(x15241),x15242),x15243),f42(f42(f22(x15241),x15242),x15244))
% 26.60/26.86 [1533]~P52(x15331)+~P6(x15331,x15334,x15332)+~P6(x15331,x15333,f5(x15331))+P6(x15331,f42(f42(f9(x15331),x15332),x15333),f42(f42(f9(x15331),x15334),x15333))
% 26.60/26.86 [1534]~P52(x15341)+~P6(x15341,x15344,x15343)+~P6(x15341,x15342,f5(x15341))+P6(x15341,f42(f42(f9(x15341),x15342),x15343),f42(f42(f9(x15341),x15342),x15344))
% 26.60/26.86 [1535]~P66(x15351)+~P5(x15351,x15354,x15353)+~P5(x15351,x15352,f5(x15351))+P5(x15351,f42(f42(f9(x15351),x15352),x15353),f42(f42(f9(x15351),x15352),x15354))
% 26.60/26.86 [1536]~P52(x15361)+~P5(x15361,x15364,x15363)+~P6(x15361,x15362,f5(x15361))+P5(x15361,f42(f42(f9(x15361),x15362),x15363),f42(f42(f9(x15361),x15362),x15364))
% 26.60/26.86 [1537]~P66(x15371)+~P5(x15371,x15374,x15372)+~P5(x15371,x15373,f5(x15371))+P5(x15371,f42(f42(f9(x15371),x15372),x15373),f42(f42(f9(x15371),x15374),x15373))
% 26.60/26.86 [1539]~P60(x15391)+~P6(x15391,x15393,x15394)+~P6(x15391,f5(x15391),x15392)+P6(x15391,f42(f42(f9(x15391),x15392),x15393),f42(f42(f9(x15391),x15392),x15394))
% 26.60/26.86 [1540]~P56(x15401)+~P6(x15401,x15403,x15404)+~P6(x15401,f5(x15401),x15402)+P6(x15401,f42(f42(f9(x15401),x15402),x15403),f42(f42(f9(x15401),x15402),x15404))
% 26.60/26.86 [1541]~P52(x15411)+~P6(x15411,x15412,x15414)+~P6(x15411,f5(x15411),x15413)+P6(x15411,f42(f42(f9(x15411),x15412),x15413),f42(f42(f9(x15411),x15414),x15413))
% 26.60/26.86 [1542]~P60(x15421)+~P6(x15421,x15422,x15424)+~P6(x15421,f5(x15421),x15423)+P6(x15421,f42(f42(f9(x15421),x15422),x15423),f42(f42(f9(x15421),x15424),x15423))
% 26.60/26.86 [1543]~P52(x15431)+~P6(x15431,x15433,x15434)+~P6(x15431,f5(x15431),x15432)+P6(x15431,f42(f42(f9(x15431),x15432),x15433),f42(f42(f9(x15431),x15432),x15434))
% 26.60/26.86 [1544]~P68(x15441)+~P5(x15441,x15443,x15444)+~P5(x15441,f5(x15441),x15442)+P5(x15441,f42(f42(f9(x15441),x15442),x15443),f42(f42(f9(x15441),x15442),x15444))
% 26.60/26.86 [1545]~P67(x15451)+~P5(x15451,x15453,x15454)+~P5(x15451,f5(x15451),x15452)+P5(x15451,f42(f42(f9(x15451),x15452),x15453),f42(f42(f9(x15451),x15452),x15454))
% 26.60/26.86 [1546]~P52(x15461)+~P5(x15461,x15463,x15464)+~P6(x15461,f5(x15461),x15462)+P5(x15461,f42(f42(f9(x15461),x15462),x15463),f42(f42(f9(x15461),x15462),x15464))
% 26.60/26.86 [1547]~P68(x15471)+~P5(x15471,x15472,x15474)+~P5(x15471,f5(x15471),x15473)+P5(x15471,f42(f42(f9(x15471),x15472),x15473),f42(f42(f9(x15471),x15474),x15473))
% 26.60/26.86 [1548]~P1(x15481)+~P5(x15481,x15482,x15484)+~P5(x15481,f5(x15481),x15482)+P5(x15481,f42(f42(f22(x15481),x15482),x15483),f42(f42(f22(x15481),x15484),x15483))
% 26.60/26.86 [1570]~P57(x15702)+P8(x15702,x15703,x15704)+E(x15701,f5(x15702))+~P8(x15702,f42(f42(f9(x15702),x15703),x15701),f42(f42(f9(x15702),x15704),x15701))
% 26.60/26.86 [1571]~P57(x15712)+P8(x15712,x15713,x15714)+E(x15711,f5(x15712))+~P8(x15712,f42(f42(f9(x15712),x15711),x15713),f42(f42(f9(x15712),x15711),x15714))
% 26.60/26.86 [1617]P6(x16171,x16173,x16172)+~P52(x16171)+P6(x16171,x16172,x16173)+~P6(x16171,f42(f42(f9(x16171),x16174),x16172),f42(f42(f9(x16171),x16174),x16173))
% 26.60/26.86 [1618]P6(x16181,x16183,x16182)+~P52(x16181)+P6(x16181,x16182,x16183)+~P6(x16181,f42(f42(f9(x16181),x16182),x16184),f42(f42(f9(x16181),x16183),x16184))
% 26.60/26.86 [1621]~P52(x16211)+P6(x16211,x16212,x16213)+P6(x16211,x16214,f5(x16211))+~P6(x16211,f42(f42(f9(x16211),x16212),x16214),f42(f42(f9(x16211),x16213),x16214))
% 26.60/26.86 [1622]~P52(x16221)+P6(x16221,x16222,x16223)+P6(x16221,x16224,f5(x16221))+~P6(x16221,f42(f42(f9(x16221),x16224),x16222),f42(f42(f9(x16221),x16224),x16223))
% 26.60/26.86 [1623]~P52(x16231)+P6(x16231,x16232,x16233)+P6(x16231,f5(x16231),x16234)+~P6(x16231,f42(f42(f9(x16231),x16234),x16233),f42(f42(f9(x16231),x16234),x16232))
% 26.60/26.86 [1624]~P52(x16241)+P6(x16241,x16242,x16243)+P6(x16241,f5(x16241),x16244)+~P6(x16241,f42(f42(f9(x16241),x16243),x16244),f42(f42(f9(x16241),x16242),x16244))
% 26.60/26.86 [1635]~P52(x16351)+P6(x16351,f5(x16351),x16352)+P6(x16351,x16352,f5(x16351))+~P6(x16351,f42(f42(f9(x16351),x16353),x16352),f42(f42(f9(x16351),x16354),x16352))
% 26.60/26.86 [1636]~P52(x16361)+P6(x16361,f5(x16361),x16362)+P6(x16361,x16362,f5(x16361))+~P6(x16361,f42(f42(f9(x16361),x16362),x16363),f42(f42(f9(x16361),x16362),x16364))
% 26.60/26.86 [1646]~P1(x16463)+P6(a2,x16461,x16462)+~P6(x16463,f10(x16463),x16464)+~P6(x16463,f42(f42(f22(x16463),x16464),x16461),f42(f42(f22(x16463),x16464),x16462))
% 26.60/26.86 [1648]~P1(x16483)+P5(a2,x16481,x16482)+~P6(x16483,f10(x16483),x16484)+~P5(x16483,f42(f42(f22(x16483),x16484),x16481),f42(f42(f22(x16483),x16484),x16482))
% 26.60/26.86 [1649]~P52(x16491)+P6(x16491,x16492,x16493)+~P6(x16491,x16494,f5(x16491))+~P6(x16491,f42(f42(f9(x16491),x16494),x16493),f42(f42(f9(x16491),x16494),x16492))
% 26.60/26.86 [1650]~P52(x16501)+P5(x16501,x16502,x16503)+~P6(x16501,x16504,f5(x16501))+~P5(x16501,f42(f42(f9(x16501),x16504),x16503),f42(f42(f9(x16501),x16504),x16502))
% 26.60/26.86 [1651]~P52(x16511)+P6(x16511,x16512,x16513)+~P6(x16511,f5(x16511),x16514)+~P6(x16511,f42(f42(f9(x16511),x16514),x16512),f42(f42(f9(x16511),x16514),x16513))
% 26.60/26.86 [1652]~P60(x16521)+P6(x16521,x16522,x16523)+~P5(x16521,f5(x16521),x16524)+~P6(x16521,f42(f42(f9(x16521),x16524),x16522),f42(f42(f9(x16521),x16524),x16523))
% 26.60/26.86 [1653]~P61(x16531)+P6(x16531,x16532,x16533)+~P5(x16531,f5(x16531),x16534)+~P6(x16531,f42(f42(f9(x16531),x16534),x16532),f42(f42(f9(x16531),x16534),x16533))
% 26.60/26.86 [1654]~P1(x16541)+P6(x16541,x16542,x16543)+~P5(x16541,f5(x16541),x16543)+~P6(x16541,f42(f42(f22(x16541),x16542),x16544),f42(f42(f22(x16541),x16543),x16544))
% 26.60/26.86 [1655]~P60(x16551)+P6(x16551,x16552,x16553)+~P5(x16551,f5(x16551),x16554)+~P6(x16551,f42(f42(f9(x16551),x16552),x16554),f42(f42(f9(x16551),x16553),x16554))
% 26.60/26.86 [1656]~P61(x16561)+P6(x16561,x16562,x16563)+~P5(x16561,f5(x16561),x16564)+~P6(x16561,f42(f42(f9(x16561),x16562),x16564),f42(f42(f9(x16561),x16563),x16564))
% 26.60/26.86 [1657]~P52(x16571)+P5(x16571,x16572,x16573)+~P6(x16571,f5(x16571),x16574)+~P5(x16571,f42(f42(f9(x16571),x16574),x16572),f42(f42(f9(x16571),x16574),x16573))
% 26.60/26.86 [1658]~P60(x16581)+P5(x16581,x16582,x16583)+~P6(x16581,f5(x16581),x16584)+~P5(x16581,f42(f42(f9(x16581),x16584),x16582),f42(f42(f9(x16581),x16584),x16583))
% 26.60/26.86 [1659]~P60(x16591)+P5(x16591,x16592,x16593)+~P6(x16591,f5(x16591),x16594)+~P5(x16591,f42(f42(f9(x16591),x16592),x16594),f42(f42(f9(x16591),x16593),x16594))
% 26.60/26.86 [1713]~P6(a1,f5(a1),x17134)+~P6(a1,f5(a1),x17132)+P6(a1,f42(f42(f9(a1),x17131),f14(a1,x17132)),f42(f42(f9(a1),x17133),f14(a1,x17134)))+~P6(a1,f42(f42(f9(a1),x17134),x17131),f42(f42(f9(a1),x17132),x17133))
% 26.60/26.86 [1721]~P6(a1,f5(a1),x17213)+~P6(a1,f5(a1),x17211)+~P6(a1,f42(f42(f9(a1),x17213),x17212),f42(f42(f9(a1),x17211),x17214))+P6(a1,f42(f42(f9(a1),f14(a1,x17211)),x17212),f42(f42(f9(a1),f14(a1,x17213)),x17214))
% 26.60/26.86 [1744]~P1(x17441)+P5(x17441,x17442,x17443)+~P5(x17441,f5(x17441),x17443)+~P5(x17441,f42(f42(f22(x17441),x17442),f12(a2,x17444,f10(a2))),f42(f42(f22(x17441),x17443),f12(a2,x17444,f10(a2))))
% 26.60/26.86 [1673]~P75(x16733)+~P58(x16733)+P77(f42(x16731,f53(x16732,x16731,x16733)))+~P77(f42(x16731,f42(f42(f9(x16733),x16732),x16734)))
% 26.60/26.86 [1703]~P75(x17031)+~P58(x17031)+P8(x17031,x17032,f12(x17031,f53(x17032,x17033,x17031),f5(x17031)))+~P77(f42(x17033,f42(f42(f9(x17031),x17032),x17034)))
% 26.60/26.86 [1761]~P6(a1,f5(a1),x17614)+~P6(a1,f21(a4,f11(a4,x17612,x17613)),f49(x17611,x17613,x17614))+~P6(a1,f5(a1),f21(a4,f11(a4,x17612,x17613)))+P6(a1,f21(a4,f11(a4,f42(f15(a4,x17611),x17612),f42(f15(a4,x17611),x17613))),x17614)
% 26.60/26.86 [1038]~P18(x10385)+E(x10381,x10382)+~E(x10383,x10384)+~E(f11(x10385,x10383,x10384),f11(x10385,x10381,x10382))
% 26.60/26.86 [1322]~P32(x13221)+~P6(x13221,x13224,x13225)+P6(x13221,x13222,x13223)+~E(f11(x13221,x13224,x13225),f11(x13221,x13222,x13223))
% 26.60/26.86 [1324]~P32(x13241)+~P5(x13241,x13244,x13245)+P5(x13241,x13242,x13243)+~E(f11(x13241,x13244,x13245),f11(x13241,x13242,x13243))
% 26.60/26.86 [1525]~P33(x15251)+~P6(x15251,x15253,x15255)+~P6(x15251,x15252,x15254)+P6(x15251,f12(x15251,x15252,x15253),f12(x15251,x15254,x15255))
% 26.60/26.86 [1526]~P33(x15261)+~P6(x15261,x15263,x15265)+~P5(x15261,x15262,x15264)+P6(x15261,f12(x15261,x15262,x15263),f12(x15261,x15264,x15265))
% 26.60/26.86 [1527]~P33(x15271)+~P6(x15271,x15272,x15274)+~P5(x15271,x15273,x15275)+P6(x15271,f12(x15271,x15272,x15273),f12(x15271,x15274,x15275))
% 26.60/26.86 [1528]~P31(x15281)+~P5(x15281,x15283,x15285)+~P5(x15281,x15282,x15284)+P5(x15281,f12(x15281,x15282,x15283),f12(x15281,x15284,x15285))
% 26.60/26.86 [1685]~P45(x16851)+~P6(a1,f21(x16851,x16853),x16855)+~P6(a1,f21(x16851,x16852),x16854)+P6(a1,f21(x16851,f12(x16851,x16852,x16853)),f12(a1,x16854,x16855))
% 26.60/26.86 [1514]~P50(x15141)+~P8(x15141,x15142,x15144)+~P5(a2,x15143,x15145)+P8(x15141,f42(f42(f22(x15141),x15142),x15143),f42(f42(f22(x15141),x15144),x15145))
% 26.60/26.86 [1516]~P50(x15161)+~P8(x15161,x15163,x15165)+~P8(x15161,x15162,x15164)+P8(x15161,f42(f42(f9(x15161),x15162),x15163),f42(f42(f9(x15161),x15164),x15165))
% 26.60/26.86 [1592]~P50(x15921)+~P5(a2,x15923,x15925)+~P8(x15921,f42(f42(f22(x15921),x15922),x15925),x15924)+P8(x15921,f42(f42(f22(x15921),x15922),x15923),x15924)
% 26.60/26.86 [1674]~P3(x16741)+~P6(a1,f21(x16741,x16743),x16745)+~P6(a1,f21(x16741,x16742),x16744)+P6(a1,f21(x16741,f42(f42(f9(x16741),x16742),x16743)),f42(f42(f9(a1),x16744),x16745))
% 26.60/26.86 [1709]~P76(x17095)+E(x17091,x17092)+E(x17093,x17094)+~E(f12(x17095,f42(f42(f9(x17095),x17093),x17091),f42(f42(f9(x17095),x17094),x17092)),f12(x17095,f42(f42(f9(x17095),x17093),x17092),f42(f42(f9(x17095),x17094),x17091)))
% 26.60/26.86 [1737]~E(f21(a4,x17371),f10(a1))+P6(a1,f21(a4,f11(a4,x17371,a7)),f10(a1))+P6(a1,f21(a4,f12(a4,x17371,a7)),f10(a1))+P6(a1,f21(a4,f12(a4,x17371,f10(a4))),f10(a1))+P6(a1,f21(a4,f11(a4,x17371,f10(a4))),f10(a1))
% 26.60/26.86 [1382]E(x13821,x13822)+~P8(a3,x13822,x13821)+~P8(a3,x13821,x13822)+~P5(a3,f5(a3),x13822)+~P5(a3,f5(a3),x13821)
% 26.60/26.86 [708]~P46(x7083)+E(x7081,x7082)+~E(f14(x7083,x7081),f14(x7083,x7082))+E(x7082,f5(x7083))+E(x7081,f5(x7083))
% 26.60/26.86 [1278]~P28(x12782)+~P5(x12782,f5(x12782),x12783)+~P5(x12782,f5(x12782),x12781)+~E(f12(x12782,x12783,x12781),f5(x12782))+E(x12781,f5(x12782))
% 26.60/26.86 [1279]~P28(x12792)+~P5(x12792,f5(x12792),x12793)+~P5(x12792,f5(x12792),x12791)+~E(f12(x12792,x12791,x12793),f5(x12792))+E(x12791,f5(x12792))
% 26.60/26.86 [1550]~P54(x15501)+~P5(x15501,x15502,f10(x15501))+~P5(x15501,f5(x15501),x15502)+~P5(x15501,f5(x15501),x15503)+P5(x15501,f42(f42(f9(x15501),x15502),x15503),x15503)
% 26.60/26.86 [1551]~P54(x15511)+~P5(x15511,x15513,f10(x15511))+~P5(x15511,f5(x15511),x15513)+~P5(x15511,f5(x15511),x15512)+P5(x15511,f42(f42(f9(x15511),x15512),x15513),x15512)
% 26.60/26.86 [1637]~P1(x16371)+~P6(x16371,x16372,x16374)+~P5(x16371,f5(x16371),x16372)+~P6(a2,f5(a2),x16373)+P6(x16371,f42(f42(f22(x16371),x16372),x16373),f42(f42(f22(x16371),x16374),x16373))
% 26.60/26.86 [1638]~P1(x16381)+~P6(a2,x16384,x16383)+~P6(x16381,x16382,f10(x16381))+~P6(x16381,f5(x16381),x16382)+P6(x16381,f42(f42(f22(x16381),x16382),x16383),f42(f42(f22(x16381),x16382),x16384))
% 26.60/26.86 [1639]~P1(x16391)+~P5(a2,x16394,x16393)+~P5(x16391,x16392,f10(x16391))+~P5(x16391,f5(x16391),x16392)+P5(x16391,f42(f42(f22(x16391),x16392),x16393),f42(f42(f22(x16391),x16392),x16394))
% 26.60/26.86 [1697]~P1(x16973)+E(x16971,x16972)+~P5(x16973,f5(x16973),x16972)+~P5(x16973,f5(x16973),x16971)+~E(f42(f42(f22(x16973),x16971),f12(a2,x16974,f10(a2))),f42(f42(f22(x16973),x16972),f12(a2,x16974,f10(a2))))
% 26.60/26.86 [1722]~P75(x17222)+~P58(x17222)+~P8(x17222,x17223,f12(x17222,x17224,f5(x17222)))+~P77(f42(x17221,x17224))+P77(f42(x17221,f42(f42(f9(x17222),x17223),f54(x17223,x17221,x17222))))
% 26.60/26.86 [1727]~P45(x17274)+~P39(x17271)+~P5(x17271,x17272,x17275)+P5(x17271,x17272,f40(x17273,x17272,x17271,x17274))+P6(a1,f21(x17274,f42(x17273,x17275)),f12(a1,f10(a1),f21(x17274,f42(x17273,x17272))))
% 26.60/26.86 [1746]P5(a3,x17461,x17462)+~P6(a3,x17463,x17464)+~P6(a3,x17463,x17465)+~P5(a3,x17464,f5(a3))+~P5(a3,f12(a3,f42(f42(f9(a3),x17463),x17462),x17465),f12(a3,f42(f42(f9(a3),x17463),x17461),x17464))
% 26.60/26.86 [1747]P5(a3,x17471,x17472)+~P6(a3,x17473,x17474)+~P6(a3,x17475,x17474)+~P5(a3,f5(a3),x17475)+~P5(a3,f12(a3,f42(f42(f9(a3),x17474),x17471),x17475),f12(a3,f42(f42(f9(a3),x17474),x17472),x17473))
% 26.60/26.86 [1790]~P45(x17901)+~P5(x17905,x17904,x17903)+~P39(x17905)+P6(a1,f21(x17901,f42(x17902,x17903)),f12(a1,f10(a1),f21(x17901,f42(x17902,x17904))))+~P6(a1,f21(x17901,f11(x17901,f42(x17902,x17904),f42(x17902,f40(x17902,x17904,x17905,x17901)))),f10(a1))
% 26.60/26.86 [1611]~P76(x16114)+E(x16111,x16112)+~E(x16115,x16116)+E(x16113,f5(x16114))+~E(f12(x16114,x16115,f42(f42(f9(x16114),x16113),x16111)),f12(x16114,x16116,f42(f42(f9(x16114),x16113),x16112)))
% 26.60/26.86 [1735]~P49(x17351)+~P58(x17351)+~P8(x17351,x17352,x17355)+~P8(x17351,x17352,f12(x17351,x17353,x17356))+P8(x17351,x17352,f12(x17351,f11(x17351,x17353,f42(f42(f9(x17351),x17354),x17355)),x17356))
% 26.60/26.86 [1754]~P49(x17541)+~P58(x17541)+~P8(x17541,x17542,x17545)+P8(x17541,x17542,f12(x17541,x17543,x17544))+~P8(x17541,x17542,f12(x17541,f11(x17541,x17543,f42(f42(f9(x17541),x17546),x17545)),x17544))
% 26.60/26.86 [1244]~P28(x12441)+~P5(x12441,f5(x12441),x12443)+~P5(x12441,f5(x12441),x12442)+~E(x12443,f5(x12441))+~E(x12442,f5(x12441))+E(f12(x12441,x12442,x12443),f5(x12441))
% 26.60/26.86 [896]~P27(x8962)+~P64(x8962)+~P65(x8962)+~P73(x8962)+E(x8961,f5(x8962))+~E(f42(f42(f22(x8962),x8961),x8963),f5(x8962))
% 26.60/26.86 [897]~P27(x8972)+~P64(x8972)+~P65(x8972)+~P73(x8972)+~E(x8971,f5(a2))+~E(f42(f42(f22(x8972),x8973),x8971),f5(x8972))
% 26.60/26.86 [1556]~P1(x15563)+E(x15561,x15562)+~P5(x15563,f5(x15563),x15562)+~P5(x15563,f5(x15563),x15561)+~P6(a2,f5(a2),x15564)+~E(f42(f42(f22(x15563),x15561),x15564),f42(f42(f22(x15563),x15562),x15564))
% 26.60/26.86 [1675]~P60(x16751)+~P6(x16751,x16753,x16755)+~P6(x16751,x16752,x16754)+~P6(x16751,f5(x16751),x16754)+~P5(x16751,f5(x16751),x16753)+P6(x16751,f42(f42(f9(x16751),x16752),x16753),f42(f42(f9(x16751),x16754),x16755))
% 26.60/26.86 [1676]~P60(x16761)+~P6(x16761,x16763,x16765)+~P6(x16761,x16762,x16764)+~P5(x16761,f5(x16761),x16763)+~P5(x16761,f5(x16761),x16762)+P6(x16761,f42(f42(f9(x16761),x16762),x16763),f42(f42(f9(x16761),x16764),x16765))
% 26.60/26.86 [1677]~P60(x16771)+~P6(x16771,x16773,x16775)+~P5(x16771,x16772,x16774)+~P6(x16771,f5(x16771),x16772)+~P5(x16771,f5(x16771),x16773)+P6(x16771,f42(f42(f9(x16771),x16772),x16773),f42(f42(f9(x16771),x16774),x16775))
% 26.60/26.86 [1678]~P60(x16781)+~P6(x16781,x16782,x16784)+~P5(x16781,x16783,x16785)+~P6(x16781,f5(x16781),x16783)+~P5(x16781,f5(x16781),x16782)+P6(x16781,f42(f42(f9(x16781),x16782),x16783),f42(f42(f9(x16781),x16784),x16785))
% 26.60/26.86 [1679]~P68(x16791)+~P5(x16791,x16793,x16795)+~P5(x16791,x16792,x16794)+~P5(x16791,f5(x16791),x16793)+~P5(x16791,f5(x16791),x16794)+P5(x16791,f42(f42(f9(x16791),x16792),x16793),f42(f42(f9(x16791),x16794),x16795))
% 26.60/26.86 [1680]~P68(x16801)+~P5(x16801,x16803,x16805)+~P5(x16801,x16802,x16804)+~P5(x16801,f5(x16801),x16803)+~P5(x16801,f5(x16801),x16802)+P5(x16801,f42(f42(f9(x16801),x16802),x16803),f42(f42(f9(x16801),x16804),x16805))
% 26.60/26.86 [828]~P27(x8282)+~P64(x8282)+~P65(x8282)+~P73(x8282)+~E(x8283,f5(x8282))+E(x8281,f5(a2))+E(f42(f42(f22(x8282),x8283),x8281),f5(x8282))
% 26.60/26.86 [1723]~P63(x17231)+~P6(x17231,x17235,x17236)+~P6(x17231,x17233,x17236)+~P5(x17231,f5(x17231),x17234)+~P5(x17231,f5(x17231),x17232)+~E(f12(x17231,x17232,x17234),f10(x17231))+P6(x17231,f12(x17231,f42(f42(f9(x17231),x17232),x17233),f42(f42(f9(x17231),x17234),x17235)),x17236)
% 26.60/26.86 [1724]~P62(x17241)+~P5(x17241,x17245,x17246)+~P5(x17241,x17243,x17246)+~P5(x17241,f5(x17241),x17244)+~P5(x17241,f5(x17241),x17242)+~E(f12(x17241,x17242,x17244),f10(x17241))+P5(x17241,f12(x17241,f42(f42(f9(x17241),x17242),x17243),f42(f42(f9(x17241),x17244),x17245)),x17246)
% 26.60/26.86 [1751]~P6(a3,x17516,x17515)+~P5(a3,x17515,x17513)+P5(a3,x17511,x17512)+~P6(a3,f5(a3),x17515)+~P5(a3,f5(a3),x17514)+~P5(a3,f5(a3),f12(a3,f42(f42(f9(a3),x17515),x17512),x17516))+~E(f12(a3,f42(f42(f9(a3),x17513),x17511),x17514),f12(a3,f42(f42(f9(a3),x17515),x17512),x17516))
% 26.60/26.86 [1752]~P6(a3,x17524,x17523)+~P5(a3,x17525,x17523)+P5(a3,x17521,x17522)+~P6(a3,f5(a3),x17525)+~P5(a3,f5(a3),x17526)+~P6(a3,f12(a3,f42(f42(f9(a3),x17525),x17521),x17526),f5(a3))+~E(f12(a3,f42(f42(f9(a3),x17523),x17522),x17524),f12(a3,f42(f42(f9(a3),x17525),x17521),x17526))
% 26.60/26.86 %EqnAxiom
% 26.60/26.86 [1]E(x11,x11)
% 26.60/26.86 [2]E(x22,x21)+~E(x21,x22)
% 26.60/26.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 26.60/26.86 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 26.60/26.86 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 26.60/26.86 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 26.60/26.86 [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 26.60/26.86 [8]~E(x81,x82)+E(f21(x81,x83),f21(x82,x83))
% 26.60/26.86 [9]~E(x91,x92)+E(f21(x93,x91),f21(x93,x92))
% 26.60/26.86 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 26.60/26.86 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 26.60/26.86 [12]~E(x121,x122)+E(f11(x121,x123,x124),f11(x122,x123,x124))
% 26.60/26.86 [13]~E(x131,x132)+E(f11(x133,x131,x134),f11(x133,x132,x134))
% 26.60/26.86 [14]~E(x141,x142)+E(f11(x143,x144,x141),f11(x143,x144,x142))
% 26.60/26.86 [15]~E(x151,x152)+E(f9(x151),f9(x152))
% 26.60/26.86 [16]~E(x161,x162)+E(f42(x161,x163),f42(x162,x163))
% 26.60/26.86 [17]~E(x171,x172)+E(f42(x173,x171),f42(x173,x172))
% 26.60/26.86 [18]~E(x181,x182)+E(f8(x181,x183),f8(x182,x183))
% 26.60/26.86 [19]~E(x191,x192)+E(f8(x193,x191),f8(x193,x192))
% 26.60/26.86 [20]~E(x201,x202)+E(f12(x201,x203,x204),f12(x202,x203,x204))
% 26.60/26.86 [21]~E(x211,x212)+E(f12(x213,x211,x214),f12(x213,x212,x214))
% 26.60/26.86 [22]~E(x221,x222)+E(f12(x223,x224,x221),f12(x223,x224,x222))
% 26.60/26.86 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233))
% 26.60/26.86 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242))
% 26.60/26.86 [25]~E(x251,x252)+E(f63(x251),f63(x252))
% 26.60/26.86 [26]~E(x261,x262)+E(f19(x261,x263,x264),f19(x262,x263,x264))
% 26.60/26.86 [27]~E(x271,x272)+E(f19(x273,x271,x274),f19(x273,x272,x274))
% 26.60/26.86 [28]~E(x281,x282)+E(f19(x283,x284,x281),f19(x283,x284,x282))
% 26.60/26.86 [29]~E(x291,x292)+E(f13(x291,x293),f13(x292,x293))
% 26.60/26.86 [30]~E(x301,x302)+E(f13(x303,x301),f13(x303,x302))
% 26.60/26.86 [31]~E(x311,x312)+E(f18(x311,x313,x314),f18(x312,x313,x314))
% 26.60/26.86 [32]~E(x321,x322)+E(f18(x323,x321,x324),f18(x323,x322,x324))
% 26.60/26.86 [33]~E(x331,x332)+E(f18(x333,x334,x331),f18(x333,x334,x332))
% 26.60/26.86 [34]~E(x341,x342)+E(f22(x341),f22(x342))
% 26.60/26.86 [35]~E(x351,x352)+E(f28(x351,x353,x354),f28(x352,x353,x354))
% 26.60/26.86 [36]~E(x361,x362)+E(f28(x363,x361,x364),f28(x363,x362,x364))
% 26.60/26.86 [37]~E(x371,x372)+E(f28(x373,x374,x371),f28(x373,x374,x372))
% 26.60/26.86 [38]~E(x381,x382)+E(f16(x381,x383,x384),f16(x382,x383,x384))
% 26.60/26.86 [39]~E(x391,x392)+E(f16(x393,x391,x394),f16(x393,x392,x394))
% 26.60/26.86 [40]~E(x401,x402)+E(f16(x403,x404,x401),f16(x403,x404,x402))
% 26.60/26.86 [41]~E(x411,x412)+E(f24(x411,x413,x414),f24(x412,x413,x414))
% 26.60/26.86 [42]~E(x421,x422)+E(f24(x423,x421,x424),f24(x423,x422,x424))
% 26.60/26.86 [43]~E(x431,x432)+E(f24(x433,x434,x431),f24(x433,x434,x432))
% 26.60/26.86 [44]~E(x441,x442)+E(f25(x441,x443,x444),f25(x442,x443,x444))
% 26.60/26.86 [45]~E(x451,x452)+E(f25(x453,x451,x454),f25(x453,x452,x454))
% 26.60/26.86 [46]~E(x461,x462)+E(f25(x463,x464,x461),f25(x463,x464,x462))
% 26.60/26.86 [47]~E(x471,x472)+E(f68(x471,x473),f68(x472,x473))
% 26.60/26.86 [48]~E(x481,x482)+E(f68(x483,x481),f68(x483,x482))
% 26.60/26.86 [49]~E(x491,x492)+E(f20(x491,x493,x494),f20(x492,x493,x494))
% 26.60/26.86 [50]~E(x501,x502)+E(f20(x503,x501,x504),f20(x503,x502,x504))
% 26.60/26.86 [51]~E(x511,x512)+E(f20(x513,x514,x511),f20(x513,x514,x512))
% 26.60/26.86 [52]~E(x521,x522)+E(f39(x521,x523),f39(x522,x523))
% 26.60/26.86 [53]~E(x531,x532)+E(f39(x533,x531),f39(x533,x532))
% 26.60/26.86 [54]~E(x541,x542)+E(f50(x541,x543),f50(x542,x543))
% 26.60/26.86 [55]~E(x551,x552)+E(f50(x553,x551),f50(x553,x552))
% 26.60/26.86 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 26.60/26.86 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 26.60/26.86 [58]~E(x581,x582)+E(f45(x581),f45(x582))
% 26.60/26.86 [59]~E(x591,x592)+E(f17(x591,x593),f17(x592,x593))
% 26.60/26.86 [60]~E(x601,x602)+E(f17(x603,x601),f17(x603,x602))
% 26.60/26.86 [61]~E(x611,x612)+E(f47(x611,x613),f47(x612,x613))
% 26.60/26.86 [62]~E(x621,x622)+E(f47(x623,x621),f47(x623,x622))
% 26.60/26.86 [63]~E(x631,x632)+E(f40(x631,x633,x634,x635),f40(x632,x633,x634,x635))
% 26.60/26.86 [64]~E(x641,x642)+E(f40(x643,x641,x644,x645),f40(x643,x642,x644,x645))
% 26.60/26.86 [65]~E(x651,x652)+E(f40(x653,x654,x651,x655),f40(x653,x654,x652,x655))
% 26.60/26.86 [66]~E(x661,x662)+E(f40(x663,x664,x665,x661),f40(x663,x664,x665,x662))
% 26.60/26.86 [67]~E(x671,x672)+E(f29(x671),f29(x672))
% 26.60/26.86 [68]~E(x681,x682)+E(f52(x681),f52(x682))
% 26.60/26.86 [69]~E(x691,x692)+E(f46(x691,x693),f46(x692,x693))
% 26.60/26.86 [70]~E(x701,x702)+E(f46(x703,x701),f46(x703,x702))
% 26.60/26.86 [71]~E(x711,x712)+E(f60(x711,x713,x714),f60(x712,x713,x714))
% 26.60/26.86 [72]~E(x721,x722)+E(f60(x723,x721,x724),f60(x723,x722,x724))
% 26.60/26.86 [73]~E(x731,x732)+E(f60(x733,x734,x731),f60(x733,x734,x732))
% 26.60/26.86 [74]~E(x741,x742)+E(f49(x741,x743,x744),f49(x742,x743,x744))
% 26.60/26.86 [75]~E(x751,x752)+E(f49(x753,x751,x754),f49(x753,x752,x754))
% 26.60/26.86 [76]~E(x761,x762)+E(f49(x763,x764,x761),f49(x763,x764,x762))
% 26.60/26.86 [77]~E(x771,x772)+E(f61(x771,x773),f61(x772,x773))
% 26.60/26.86 [78]~E(x781,x782)+E(f61(x783,x781),f61(x783,x782))
% 26.60/26.86 [79]~E(x791,x792)+E(f23(x791,x793,x794),f23(x792,x793,x794))
% 26.60/26.86 [80]~E(x801,x802)+E(f23(x803,x801,x804),f23(x803,x802,x804))
% 26.60/26.86 [81]~E(x811,x812)+E(f23(x813,x814,x811),f23(x813,x814,x812))
% 26.60/26.86 [82]~E(x821,x822)+E(f48(x821,x823),f48(x822,x823))
% 26.60/26.86 [83]~E(x831,x832)+E(f48(x833,x831),f48(x833,x832))
% 26.60/26.86 [84]~E(x841,x842)+E(f51(x841,x843),f51(x842,x843))
% 26.60/26.86 [85]~E(x851,x852)+E(f51(x853,x851),f51(x853,x852))
% 26.60/26.86 [86]~E(x861,x862)+E(f56(x861,x863),f56(x862,x863))
% 26.60/26.86 [87]~E(x871,x872)+E(f56(x873,x871),f56(x873,x872))
% 26.60/26.86 [88]~E(x881,x882)+E(f57(x881),f57(x882))
% 26.60/26.86 [89]~E(x891,x892)+E(f53(x891,x893,x894),f53(x892,x893,x894))
% 26.60/26.86 [90]~E(x901,x902)+E(f53(x903,x901,x904),f53(x903,x902,x904))
% 26.60/26.86 [91]~E(x911,x912)+E(f53(x913,x914,x911),f53(x913,x914,x912))
% 26.60/26.86 [92]~E(x921,x922)+E(f41(x921,x923,x924,x925),f41(x922,x923,x924,x925))
% 26.60/26.86 [93]~E(x931,x932)+E(f41(x933,x931,x934,x935),f41(x933,x932,x934,x935))
% 26.60/26.86 [94]~E(x941,x942)+E(f41(x943,x944,x941,x945),f41(x943,x944,x942,x945))
% 26.60/26.86 [95]~E(x951,x952)+E(f41(x953,x954,x955,x951),f41(x953,x954,x955,x952))
% 26.60/26.86 [96]~E(x961,x962)+E(f58(x961),f58(x962))
% 26.60/26.86 [97]~E(x971,x972)+E(f59(x971,x973),f59(x972,x973))
% 26.60/26.86 [98]~E(x981,x982)+E(f59(x983,x981),f59(x983,x982))
% 26.60/26.86 [99]~E(x991,x992)+E(f54(x991,x993,x994),f54(x992,x993,x994))
% 26.60/26.86 [100]~E(x1001,x1002)+E(f54(x1003,x1001,x1004),f54(x1003,x1002,x1004))
% 26.60/26.86 [101]~E(x1011,x1012)+E(f54(x1013,x1014,x1011),f54(x1013,x1014,x1012))
% 26.60/26.86 [102]~P1(x1021)+P1(x1022)+~E(x1021,x1022)
% 26.60/26.86 [103]P6(x1032,x1033,x1034)+~E(x1031,x1032)+~P6(x1031,x1033,x1034)
% 26.60/26.86 [104]P6(x1043,x1042,x1044)+~E(x1041,x1042)+~P6(x1043,x1041,x1044)
% 26.60/26.86 [105]P6(x1053,x1054,x1052)+~E(x1051,x1052)+~P6(x1053,x1054,x1051)
% 26.60/26.86 [106]P5(x1062,x1063,x1064)+~E(x1061,x1062)+~P5(x1061,x1063,x1064)
% 26.60/26.86 [107]P5(x1073,x1072,x1074)+~E(x1071,x1072)+~P5(x1073,x1071,x1074)
% 26.60/26.86 [108]P5(x1083,x1084,x1082)+~E(x1081,x1082)+~P5(x1083,x1084,x1081)
% 26.60/26.86 [109]~P2(x1091)+P2(x1092)+~E(x1091,x1092)
% 26.60/26.86 [110]P8(x1102,x1103,x1104)+~E(x1101,x1102)+~P8(x1101,x1103,x1104)
% 26.60/26.86 [111]P8(x1113,x1112,x1114)+~E(x1111,x1112)+~P8(x1113,x1111,x1114)
% 26.60/26.86 [112]P8(x1123,x1124,x1122)+~E(x1121,x1122)+~P8(x1123,x1124,x1121)
% 26.60/26.86 [113]~P3(x1131)+P3(x1132)+~E(x1131,x1132)
% 26.60/26.86 [114]~P32(x1141)+P32(x1142)+~E(x1141,x1142)
% 26.60/26.86 [115]~P45(x1151)+P45(x1152)+~E(x1151,x1152)
% 26.60/26.86 [116]~P57(x1161)+P57(x1162)+~E(x1161,x1162)
% 26.60/26.86 [117]~P46(x1171)+P46(x1172)+~E(x1171,x1172)
% 26.60/26.86 [118]~P50(x1181)+P50(x1182)+~E(x1181,x1182)
% 26.60/26.86 [119]~P4(x1191)+P4(x1192)+~E(x1191,x1192)
% 26.60/26.86 [120]~P19(x1201)+P19(x1202)+~E(x1201,x1202)
% 26.60/26.86 [121]~P11(x1211)+P11(x1212)+~E(x1211,x1212)
% 26.60/26.86 [122]~P12(x1221)+P12(x1222)+~E(x1221,x1222)
% 26.60/26.86 [123]~P14(x1231)+P14(x1232)+~E(x1231,x1232)
% 26.60/26.86 [124]~P18(x1241)+P18(x1242)+~E(x1241,x1242)
% 26.60/26.86 [125]~P38(x1251)+P38(x1252)+~E(x1251,x1252)
% 26.60/26.86 [126]~P43(x1261)+P43(x1262)+~E(x1261,x1262)
% 26.60/26.86 [127]~P59(x1271)+P59(x1272)+~E(x1271,x1272)
% 26.60/26.86 [128]~P28(x1281)+P28(x1282)+~E(x1281,x1282)
% 26.60/26.86 [129]~P52(x1291)+P52(x1292)+~E(x1291,x1292)
% 26.60/26.86 [130]~P66(x1301)+P66(x1302)+~E(x1301,x1302)
% 26.60/26.86 [131]~P54(x1311)+P54(x1312)+~E(x1311,x1312)
% 26.60/26.86 [132]~P68(x1321)+P68(x1322)+~E(x1321,x1322)
% 26.60/26.86 [133]~P48(x1331)+P48(x1332)+~E(x1331,x1332)
% 26.60/26.86 [134]~P25(x1341)+P25(x1342)+~E(x1341,x1342)
% 26.60/26.86 [135]~P67(x1351)+P67(x1352)+~E(x1351,x1352)
% 26.60/26.86 [136]~P27(x1361)+P27(x1362)+~E(x1361,x1362)
% 26.60/26.86 [137]P10(x1372,x1373)+~E(x1371,x1372)+~P10(x1371,x1373)
% 26.60/26.86 [138]P10(x1383,x1382)+~E(x1381,x1382)+~P10(x1383,x1381)
% 26.60/26.86 [139]~P34(x1391)+P34(x1392)+~E(x1391,x1392)
% 26.60/26.86 [140]~P77(x1401)+P77(x1402)+~E(x1401,x1402)
% 26.60/26.86 [141]~P53(x1411)+P53(x1412)+~E(x1411,x1412)
% 26.60/26.86 [142]~P76(x1421)+P76(x1422)+~E(x1421,x1422)
% 26.60/26.86 [143]P9(x1432,x1433)+~E(x1431,x1432)+~P9(x1431,x1433)
% 26.60/26.86 [144]P9(x1443,x1442)+~E(x1441,x1442)+~P9(x1443,x1441)
% 26.60/26.86 [145]~P51(x1451)+P51(x1452)+~E(x1451,x1452)
% 26.60/26.86 [146]~P61(x1461)+P61(x1462)+~E(x1461,x1462)
% 26.60/26.86 [147]~P40(x1471)+P40(x1472)+~E(x1471,x1472)
% 26.60/26.86 [148]~P60(x1481)+P60(x1482)+~E(x1481,x1482)
% 26.60/26.86 [149]~P73(x1491)+P73(x1492)+~E(x1491,x1492)
% 26.60/26.86 [150]~P13(x1501)+P13(x1502)+~E(x1501,x1502)
% 26.60/26.86 [151]~P58(x1511)+P58(x1512)+~E(x1511,x1512)
% 26.60/26.86 [152]~P36(x1521)+P36(x1522)+~E(x1521,x1522)
% 26.60/26.86 [153]~P55(x1531)+P55(x1532)+~E(x1531,x1532)
% 26.60/26.86 [154]~P24(x1541)+P24(x1542)+~E(x1541,x1542)
% 26.60/26.86 [155]~P41(x1551)+P41(x1552)+~E(x1551,x1552)
% 26.60/26.86 [156]~P44(x1561)+P44(x1562)+~E(x1561,x1562)
% 26.60/26.86 [157]~P70(x1571)+P70(x1572)+~E(x1571,x1572)
% 26.60/26.86 [158]~P62(x1581)+P62(x1582)+~E(x1581,x1582)
% 26.60/26.86 [159]~P69(x1591)+P69(x1592)+~E(x1591,x1592)
% 26.60/26.86 [160]~P71(x1601)+P71(x1602)+~E(x1601,x1602)
% 26.60/26.86 [161]~P33(x1611)+P33(x1612)+~E(x1611,x1612)
% 26.60/26.86 [162]~P63(x1621)+P63(x1622)+~E(x1621,x1622)
% 26.60/26.86 [163]P7(x1632,x1633,x1634)+~E(x1631,x1632)+~P7(x1631,x1633,x1634)
% 26.60/26.86 [164]P7(x1643,x1642,x1644)+~E(x1641,x1642)+~P7(x1643,x1641,x1644)
% 26.60/26.86 [165]P7(x1653,x1654,x1652)+~E(x1651,x1652)+~P7(x1653,x1654,x1651)
% 26.60/26.86 [166]~P64(x1661)+P64(x1662)+~E(x1661,x1662)
% 26.60/26.86 [167]~P22(x1671)+P22(x1672)+~E(x1671,x1672)
% 26.60/26.86 [168]~P39(x1681)+P39(x1682)+~E(x1681,x1682)
% 26.60/26.86 [169]~P30(x1691)+P30(x1692)+~E(x1691,x1692)
% 26.60/26.86 [170]~P75(x1701)+P75(x1702)+~E(x1701,x1702)
% 26.60/26.86 [171]~P56(x1711)+P56(x1712)+~E(x1711,x1712)
% 26.60/26.86 [172]~P49(x1721)+P49(x1722)+~E(x1721,x1722)
% 26.60/26.86 [173]~P65(x1731)+P65(x1732)+~E(x1731,x1732)
% 26.60/26.86 [174]~P37(x1741)+P37(x1742)+~E(x1741,x1742)
% 26.60/26.86 [175]~P23(x1751)+P23(x1752)+~E(x1751,x1752)
% 26.60/26.86 [176]~P42(x1761)+P42(x1762)+~E(x1761,x1762)
% 26.60/26.86 [177]~P21(x1771)+P21(x1772)+~E(x1771,x1772)
% 26.60/26.86 [178]~P72(x1781)+P72(x1782)+~E(x1781,x1782)
% 26.60/26.86 [179]~P20(x1791)+P20(x1792)+~E(x1791,x1792)
% 26.60/26.86 [180]~P26(x1801)+P26(x1802)+~E(x1801,x1802)
% 26.60/26.86 [181]~P74(x1811)+P74(x1812)+~E(x1811,x1812)
% 26.60/26.86 [182]~P31(x1821)+P31(x1822)+~E(x1821,x1822)
% 26.60/26.86 [183]~P29(x1831)+P29(x1832)+~E(x1831,x1832)
% 26.60/26.86 [184]~P35(x1841)+P35(x1842)+~E(x1841,x1842)
% 26.60/26.86 [185]~P47(x1851)+P47(x1852)+~E(x1851,x1852)
% 26.60/26.86 [186]~P17(x1861)+P17(x1862)+~E(x1861,x1862)
% 26.60/26.86 [187]~P16(x1871)+P16(x1872)+~E(x1871,x1872)
% 26.60/26.86 [188]~P15(x1881)+P15(x1882)+~E(x1881,x1882)
% 26.60/26.86
% 26.60/26.86 %-------------------------------------------
% 27.09/26.89 cnf(1791,plain,
% 27.09/26.89 (E(f8(a4,a64),f8(a4,a30))),
% 27.09/26.89 inference(scs_inference,[],[406,2])).
% 27.09/26.89 cnf(1792,plain,
% 27.09/26.89 (~P6(a1,x17921,x17921)),
% 27.09/26.89 inference(scs_inference,[],[366,406,2,813])).
% 27.09/26.89 cnf(1794,plain,
% 27.09/26.89 (~E(f5(a3),f10(a3))),
% 27.09/26.89 inference(scs_inference,[],[366,406,432,2,813,784])).
% 27.09/26.89 cnf(1796,plain,
% 27.09/26.89 (~E(x17961,f12(a2,x17961,f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[366,406,432,459,2,813,784,783])).
% 27.09/26.89 cnf(1800,plain,
% 27.09/26.89 (~P6(a2,x18001,f11(a2,x18002,x18002))),
% 27.09/26.89 inference(scs_inference,[],[366,418,406,432,422,459,2,813,784,783,778,797])).
% 27.09/26.89 cnf(1803,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x18031,x18032),x18032)),
% 27.09/26.89 inference(rename_variables,[],[555])).
% 27.09/26.89 cnf(1807,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x18071,f12(a2,x18072,f10(a2))),x18072)),
% 27.09/26.89 inference(scs_inference,[],[366,418,406,432,516,453,555,422,459,2,813,784,783,778,797,977,938,1368])).
% 27.09/26.89 cnf(1808,plain,
% 27.09/26.89 (P5(a2,x18081,f12(a2,x18082,x18081))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(1812,plain,
% 27.09/26.89 (P6(a3,x18121,f12(a3,x18121,f10(a3)))),
% 27.09/26.89 inference(scs_inference,[],[413,366,418,406,432,516,453,555,422,459,471,2,813,784,783,778,797,977,938,1368,1367,1306])).
% 27.09/26.89 cnf(1813,plain,
% 27.09/26.89 (P5(a3,x18131,x18131)),
% 27.09/26.89 inference(rename_variables,[],[413])).
% 27.09/26.89 cnf(1815,plain,
% 27.09/26.89 (P6(a2,x18151,f12(a2,x18152,f12(a2,x18151,f10(a2))))),
% 27.09/26.89 inference(scs_inference,[],[413,366,418,406,432,516,453,1808,555,422,459,471,2,813,784,783,778,797,977,938,1368,1367,1306,1305])).
% 27.09/26.89 cnf(1816,plain,
% 27.09/26.89 (P5(a2,x18161,f12(a2,x18162,x18161))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(1818,plain,
% 27.09/26.89 (P6(a3,f11(a3,x18181,f10(a3)),x18181)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,516,453,1808,555,422,459,471,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299])).
% 27.09/26.89 cnf(1819,plain,
% 27.09/26.89 (P5(a3,x18191,x18191)),
% 27.09/26.89 inference(rename_variables,[],[413])).
% 27.09/26.89 cnf(1823,plain,
% 27.09/26.89 (P5(a2,x18231,f12(a2,x18232,f12(a2,x18231,x18233)))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,516,512,453,1808,1816,555,422,459,471,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288])).
% 27.09/26.89 cnf(1824,plain,
% 27.09/26.89 (P5(a2,x18241,f12(a2,x18242,x18241))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(1827,plain,
% 27.09/26.89 (P5(a2,x18271,f12(a2,x18272,x18271))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(1832,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x18321,x18322),x18321)),
% 27.09/26.89 inference(rename_variables,[],[556])).
% 27.09/26.89 cnf(1834,plain,
% 27.09/26.89 (~P6(a2,x18341,f11(a2,f11(a2,x18341,x18342),x18343))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,453,1808,1816,1824,555,556,422,459,471,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178])).
% 27.09/26.89 cnf(1837,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x18371,f10(a2)),x18371)),
% 27.09/26.89 inference(rename_variables,[],[557])).
% 27.09/26.89 cnf(1840,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x18401,f10(a2)),x18401)),
% 27.09/26.89 inference(rename_variables,[],[557])).
% 27.09/26.89 cnf(1843,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x18431,x18432),x18432)),
% 27.09/26.89 inference(rename_variables,[],[555])).
% 27.09/26.89 cnf(1846,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x18461,x18462),x18462)),
% 27.09/26.89 inference(rename_variables,[],[555])).
% 27.09/26.89 cnf(1849,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x18491,x18492),x18491)),
% 27.09/26.89 inference(rename_variables,[],[556])).
% 27.09/26.89 cnf(1851,plain,
% 27.09/26.89 (~E(f12(a2,x18511,f12(a2,x18512,f10(a2))),x18512)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,471,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973])).
% 27.09/26.89 cnf(1852,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x18521,x18522),x18522)),
% 27.09/26.89 inference(rename_variables,[],[555])).
% 27.09/26.89 cnf(1856,plain,
% 27.09/26.89 (~E(f12(a2,x18561,f12(a2,f5(a2),f10(a2))),x18561)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,543,471,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790])).
% 27.09/26.89 cnf(1857,plain,
% 27.09/26.89 (~E(f12(a2,x18571,f10(a2)),x18571)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(1864,plain,
% 27.09/26.89 (~E(f12(a2,f12(a2,x18641,x18642),f10(a2)),x18642)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,543,471,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22])).
% 27.09/26.89 cnf(1870,plain,
% 27.09/26.89 (~P25(a2)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,543,471,549,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980])).
% 27.09/26.89 cnf(1871,plain,
% 27.09/26.89 (~E(f12(a2,x18711,f10(a2)),f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[549])).
% 27.09/26.89 cnf(1874,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x18741,x18742),x18742),x18741)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(1878,plain,
% 27.09/26.89 (~P6(a2,x18781,f11(a2,f5(a2),x18782))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,456,543,471,549,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186])).
% 27.09/26.89 cnf(1880,plain,
% 27.09/26.89 (~P5(a2,f10(a2),f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,456,543,471,549,1871,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184])).
% 27.09/26.89 cnf(1881,plain,
% 27.09/26.89 (~E(f12(a2,x18811,f10(a2)),f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[549])).
% 27.09/26.89 cnf(1884,plain,
% 27.09/26.89 (~E(f12(a2,x18841,f10(a2)),f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[549])).
% 27.09/26.89 cnf(1886,plain,
% 27.09/26.89 (~P6(a2,x18861,f11(a2,f12(a2,x18861,x18862),x18862))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,538,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,456,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464])).
% 27.09/26.89 cnf(1887,plain,
% 27.09/26.89 (~P6(a2,x18871,x18871)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(1889,plain,
% 27.09/26.89 (~P5(a2,f11(a2,f12(a2,f12(a2,x18891,x18892),f10(a2)),x18892),x18891)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,538,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463])).
% 27.09/26.89 cnf(1890,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x18901,f10(a2)),x18901)),
% 27.09/26.89 inference(rename_variables,[],[557])).
% 27.09/26.89 cnf(1892,plain,
% 27.09/26.89 (~P6(a2,f12(a2,f11(a2,x18921,x18922),x18922),x18921)),
% 27.09/26.89 inference(scs_inference,[],[413,1813,538,1887,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462])).
% 27.09/26.89 cnf(1893,plain,
% 27.09/26.89 (~P6(a2,x18931,x18931)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(1895,plain,
% 27.09/26.89 (~P25(f11(a2,f12(a2,a2,x18951),x18951))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,538,1887,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134])).
% 27.09/26.89 cnf(1896,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x18961,x18962),x18962),x18961)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(1897,plain,
% 27.09/26.89 (~P18(f11(a2,f12(a2,a2,x18971),x18971))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,538,1887,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124])).
% 27.09/26.89 cnf(1898,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x18981,x18982),x18982),x18981)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(1899,plain,
% 27.09/26.89 (P8(a2,f8(a4,a30),f8(a4,a64))),
% 27.09/26.89 inference(scs_inference,[],[413,1813,414,538,1887,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112])).
% 27.09/26.89 cnf(1900,plain,
% 27.09/26.89 (P8(a2,x19001,x19001)),
% 27.09/26.89 inference(rename_variables,[],[414])).
% 27.09/26.89 cnf(1902,plain,
% 27.09/26.89 (P8(a2,x19021,x19021)),
% 27.09/26.89 inference(rename_variables,[],[414])).
% 27.09/26.89 cnf(1904,plain,
% 27.09/26.89 (P5(a1,x19041,x19041)),
% 27.09/26.89 inference(rename_variables,[],[411])).
% 27.09/26.89 cnf(1906,plain,
% 27.09/26.89 (P5(a1,x19061,x19061)),
% 27.09/26.89 inference(rename_variables,[],[411])).
% 27.09/26.89 cnf(1907,plain,
% 27.09/26.89 (~E(a65,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,418,406,432,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105])).
% 27.09/26.89 cnf(1910,plain,
% 27.09/26.89 (~P6(a2,x19101,f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[541])).
% 27.09/26.89 cnf(1914,plain,
% 27.09/26.89 (~P5(a1,a65,f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,374,377,541,418,419,406,432,550,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014])).
% 27.09/26.89 cnf(1916,plain,
% 27.09/26.89 (~P6(a2,f8(a4,a64),f12(a2,a69,f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,374,375,377,541,418,419,406,432,550,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011])).
% 27.09/26.89 cnf(1918,plain,
% 27.09/26.89 (~P5(a2,f8(a4,a64),f12(a2,a69,f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,374,375,377,541,418,419,406,432,550,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010])).
% 27.09/26.89 cnf(1920,plain,
% 27.09/26.89 (~P6(a3,f10(a3),f5(a3))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,541,418,419,406,432,550,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009])).
% 27.09/26.89 cnf(1922,plain,
% 27.09/26.89 (~P5(a3,f10(a3),f5(a3))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,541,418,419,406,432,434,534,550,466,516,512,561,453,1808,1816,1824,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984])).
% 27.09/26.89 cnf(1925,plain,
% 27.09/26.89 (P5(a2,f11(a2,x19251,x19252),x19251)),
% 27.09/26.89 inference(rename_variables,[],[455])).
% 27.09/26.89 cnf(1926,plain,
% 27.09/26.89 (P5(a2,f5(a2),x19261)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(1933,plain,
% 27.09/26.89 (P5(a2,f5(a2),x19331)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(1935,plain,
% 27.09/26.89 (P5(a1,f5(a1),a65)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879])).
% 27.09/26.89 cnf(1937,plain,
% 27.09/26.89 (P5(a1,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877])).
% 27.09/26.89 cnf(1941,plain,
% 27.09/26.89 (~P6(a1,f8(a4,a30),f8(a4,a64))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826])).
% 27.09/26.89 cnf(1945,plain,
% 27.09/26.89 (~E(f12(a2,f12(a2,x19451,f10(a2)),x19452),x19451)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712])).
% 27.09/26.89 cnf(1947,plain,
% 27.09/26.89 (~E(f12(a2,f12(a2,x19471,x19472),f10(a2)),x19471)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710])).
% 27.09/26.89 cnf(1949,plain,
% 27.09/26.89 (~P8(a3,f12(a3,f10(a3),f10(a3)),f10(a3))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,557,1837,1840,456,1874,1896,543,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221])).
% 27.09/26.89 cnf(1952,plain,
% 27.09/26.89 (P6(a2,x19521,f12(a2,x19521,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1953,plain,
% 27.09/26.89 (P6(a2,x19531,f12(a2,f12(a2,x19532,x19531),f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[494])).
% 27.09/26.89 cnf(1955,plain,
% 27.09/26.89 (~P8(a2,f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2)),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,557,1837,1840,1890,456,1874,1896,543,494,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131])).
% 27.09/26.89 cnf(1956,plain,
% 27.09/26.89 (P6(a2,x19561,f12(a2,x19561,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1957,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x19571,f10(a2)),x19571)),
% 27.09/26.89 inference(rename_variables,[],[557])).
% 27.09/26.89 cnf(1960,plain,
% 27.09/26.89 (~P6(a2,x19601,x19601)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(1962,plain,
% 27.09/26.89 (E(x19621,f12(a2,f5(a2),x19621))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,1893,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,557,1837,1840,1890,456,1874,1896,543,494,1953,471,549,1871,1881,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371])).
% 27.09/26.89 cnf(1963,plain,
% 27.09/26.89 (P6(a2,x19631,f12(a2,f12(a2,x19632,x19631),f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[494])).
% 27.09/26.89 cnf(1966,plain,
% 27.09/26.89 (P6(a2,x19661,f12(a2,x19661,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1969,plain,
% 27.09/26.89 (P6(a2,x19691,f12(a2,x19691,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1971,plain,
% 27.09/26.89 (~E(f10(a2),f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,538,1887,1893,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,557,1837,1840,1890,456,1874,1896,543,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719])).
% 27.09/26.89 cnf(1972,plain,
% 27.09/26.89 (~E(f12(a2,x19721,f10(a2)),f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[549])).
% 27.09/26.89 cnf(1973,plain,
% 27.09/26.89 (E(f11(a2,x19731,x19731),f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[422])).
% 27.09/26.89 cnf(1976,plain,
% 27.09/26.89 (P6(a2,x19761,f12(a2,x19761,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1977,plain,
% 27.09/26.89 (~P6(a2,x19771,x19771)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(1979,plain,
% 27.09/26.89 (P8(a2,x19791,f42(f42(f9(a2),x19791),x19792))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,1902,538,1887,1893,1960,347,366,367,368,374,375,377,378,424,1926,541,418,419,406,405,432,434,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,557,1837,1840,1890,456,1874,1896,543,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298])).
% 27.09/26.89 cnf(1984,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x19841,x19842),x19842),x19841)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(1989,plain,
% 27.09/26.89 (E(f12(a2,f5(a2),x19891),x19891)),
% 27.09/26.89 inference(rename_variables,[],[428])).
% 27.09/26.89 cnf(1990,plain,
% 27.09/26.89 (P6(a2,x19901,f12(a2,x19901,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1994,plain,
% 27.09/26.89 (P6(a2,f56(f12(a2,f5(a2),f10(a2)),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,1902,538,1887,1893,1960,345,347,366,367,368,374,375,377,378,393,424,1926,541,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,456,1874,1896,1898,428,543,1857,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366])).
% 27.09/26.89 cnf(1995,plain,
% 27.09/26.89 (P6(a2,x19951,f12(a2,x19951,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(1996,plain,
% 27.09/26.89 (~E(f12(a2,x19961,f10(a2)),x19961)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2004,plain,
% 27.09/26.89 (~E(f12(a1,x20041,f10(a1)),x20041)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,1902,538,1887,1893,1960,233,317,345,347,349,366,367,368,374,375,377,378,393,424,1926,541,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,456,1874,1896,1898,428,543,1857,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836])).
% 27.09/26.89 cnf(2007,plain,
% 27.09/26.89 (~E(f12(a2,x20071,f10(a2)),x20071)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2010,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x20101,x20102),x20102),x20101)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(2012,plain,
% 27.09/26.89 (~E(f6(a1,f10(a1)),f10(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,1902,538,1887,1893,1960,233,285,317,345,347,349,366,367,368,374,375,377,378,393,424,1926,541,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,456,1874,1896,1898,1984,428,543,1857,1996,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646])).
% 27.09/26.89 cnf(2014,plain,
% 27.09/26.89 (~P32(a2)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,413,1813,414,1900,1902,538,1887,1893,1960,233,285,317,345,347,349,366,367,368,374,375,377,378,393,424,1926,541,1910,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,456,1874,1896,1898,1984,428,543,1857,1996,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223])).
% 27.09/26.89 cnf(2015,plain,
% 27.09/26.89 (~P6(a2,x20151,f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[541])).
% 27.09/26.89 cnf(2018,plain,
% 27.09/26.89 (~E(f12(a2,x20181,f10(a2)),x20181)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2023,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x20231,f10(a2)),x20231)),
% 27.09/26.89 inference(rename_variables,[],[557])).
% 27.09/26.89 cnf(2025,plain,
% 27.09/26.89 (~E(x20251,f12(a2,f6(a1,f12(a2,f6(a1,f11(a2,x20251,x20251)),f10(a2))),x20251))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,233,285,317,328,345,347,349,366,367,368,374,375,377,378,393,424,1926,541,1910,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127])).
% 27.09/26.89 cnf(2027,plain,
% 27.09/26.89 (~E(f11(a2,f12(a2,f12(a2,x20271,f5(a2)),f10(a2)),f5(a2)),x20271)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,233,285,317,328,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126])).
% 27.09/26.89 cnf(2028,plain,
% 27.09/26.89 (~E(f12(a2,x20281,f10(a2)),x20281)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2029,plain,
% 27.09/26.89 (P5(a2,f5(a2),x20291)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2047,plain,
% 27.09/26.89 (~P5(a1,f5(a1),f6(a1,a65))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,202,233,285,317,328,334,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,406,405,432,434,533,534,550,466,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083])).
% 27.09/26.89 cnf(2054,plain,
% 27.09/26.89 (~E(f12(a2,x20541,f10(a2)),x20541)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2061,plain,
% 27.09/26.89 (~E(f12(a2,x20611,f10(a2)),x20611)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2067,plain,
% 27.09/26.89 (~E(f6(a1,f10(a1)),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,202,203,233,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657])).
% 27.09/26.89 cnf(2069,plain,
% 27.09/26.89 (~E(f14(a1,f10(a1)),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,202,203,233,239,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656])).
% 27.09/26.89 cnf(2073,plain,
% 27.09/26.89 (~E(a72,f5(a4))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,239,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641])).
% 27.09/26.89 cnf(2077,plain,
% 27.09/26.89 (~P5(a1,f5(a1),f12(a1,f6(a1,a65),f6(a1,a65)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,239,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357])).
% 27.09/26.89 cnf(2081,plain,
% 27.09/26.89 (~P5(a1,f12(a1,a65,a65),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,239,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355])).
% 27.09/26.89 cnf(2083,plain,
% 27.09/26.89 (~P6(a1,f12(a1,a65,a65),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,239,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354])).
% 27.09/26.89 cnf(2085,plain,
% 27.09/26.89 (~P6(a3,f12(a3,f10(a3),f10(a3)),f5(a3))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,234,239,273,285,317,328,329,334,337,345,347,349,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,428,543,1857,1996,2007,2018,2028,2054,494,1953,471,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353])).
% 27.09/26.89 cnf(2088,plain,
% 27.09/26.89 (~E(f12(a2,x20881,f10(a2)),x20881)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2090,plain,
% 27.09/26.89 (E(x20901,f12(a2,x20901,f5(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,234,239,273,285,317,328,329,334,337,345,347,349,356,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,494,1953,471,458,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002])).
% 27.09/26.89 cnf(2091,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x20911,x20912),x20911),x20912)),
% 27.09/26.89 inference(rename_variables,[],[457])).
% 27.09/26.89 cnf(2098,plain,
% 27.09/26.89 (~E(f12(a1,f12(a2,f6(a1,x20981),f10(a2)),x20981),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,199,202,203,233,234,239,273,285,317,328,329,334,337,345,347,349,356,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,494,1953,471,458,549,1871,1881,1884,416,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870])).
% 27.09/26.89 cnf(2099,plain,
% 27.09/26.89 (~E(f12(a2,x20991,f10(a2)),x20991)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2102,plain,
% 27.09/26.89 (~E(f12(a2,x21021,f10(a2)),x21021)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2109,plain,
% 27.09/26.89 (~E(x21091,f6(a3,f12(a3,f10(a3),x21091)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795])).
% 27.09/26.89 cnf(2114,plain,
% 27.09/26.89 (~E(f12(a2,x21141,f10(a2)),x21141)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2118,plain,
% 27.09/26.89 (~P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,f6(a1,x21181),f6(a1,x21181))),x21182),f12(a2,f12(a2,f42(f42(f9(a2),f6(a1,x21181)),x21182),x21183),f10(a2))),x21183)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,413,1813,414,1900,1902,538,1887,1893,1960,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777])).
% 27.09/26.89 cnf(2119,plain,
% 27.09/26.89 (P5(a2,x21191,x21191)),
% 27.09/26.89 inference(rename_variables,[],[412])).
% 27.09/26.89 cnf(2121,plain,
% 27.09/26.89 (~P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x21211,x21211)),x21212),f12(a2,f12(a2,f42(f42(f9(a2),x21211),x21212),x21213),x21214)),x21213)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,413,1813,414,1900,1902,538,1887,1893,1960,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776])).
% 27.09/26.89 cnf(2123,plain,
% 27.09/26.89 (~P5(a2,f12(a2,f12(a2,f42(f42(f9(a2),f6(a1,x21231)),x21232),x21233),f10(a2)),f12(a2,f42(f42(f9(a2),f11(a2,f6(a1,x21231),f6(a1,x21231))),x21232),x21233))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,413,1813,414,1900,1902,538,1887,1893,1960,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775])).
% 27.09/26.89 cnf(2124,plain,
% 27.09/26.89 (P5(a2,x21241,x21241)),
% 27.09/26.89 inference(rename_variables,[],[412])).
% 27.09/26.89 cnf(2126,plain,
% 27.09/26.89 (~P6(a2,x21261,f12(a2,f42(f42(f9(a2),f11(a2,x21262,x21262)),x21263),x21261))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774])).
% 27.09/26.89 cnf(2127,plain,
% 27.09/26.89 (~P6(a2,x21271,x21271)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(2129,plain,
% 27.09/26.89 (P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f5(a2))),x21291),x21292),x21292)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767])).
% 27.09/26.89 cnf(2130,plain,
% 27.09/26.89 (P5(a2,x21301,x21301)),
% 27.09/26.89 inference(rename_variables,[],[412])).
% 27.09/26.89 cnf(2131,plain,
% 27.09/26.89 (P5(a2,f5(a2),x21311)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2133,plain,
% 27.09/26.89 (P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x21331,x21331)),x21332),x21333),f12(a2,f12(a2,f42(f42(f9(a2),x21331),x21332),x21333),f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766])).
% 27.09/26.89 cnf(2135,plain,
% 27.09/26.89 (P5(a2,x21351,f12(a2,f42(f42(f9(a2),f11(a2,x21352,x21352)),x21353),f12(a2,f12(a2,f42(f42(f9(a2),x21352),x21353),x21351),x21354)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765])).
% 27.09/26.89 cnf(2137,plain,
% 27.09/26.89 (P6(a2,x21371,f12(a2,f42(f42(f9(a2),f11(a2,x21372,x21372)),x21373),f12(a2,f12(a2,f42(f42(f9(a2),x21372),x21373),x21371),f10(a2))))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764])).
% 27.09/26.89 cnf(2139,plain,
% 27.09/26.89 (~E(f12(a2,f42(f42(f9(a2),f11(a2,x21391,x21391)),x21392),f12(a2,f12(a2,f42(f42(f9(a2),x21391),x21392),x21393),f10(a2))),x21393)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743])).
% 27.09/26.89 cnf(2141,plain,
% 27.09/26.89 (~E(x21411,f12(a2,f42(f42(f9(a2),f11(a2,x21412,x21412)),x21413),f12(a2,f12(a2,f42(f42(f9(a2),x21412),x21413),x21411),f10(a2))))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,345,347,349,356,357,366,367,368,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742])).
% 27.09/26.89 cnf(2144,plain,
% 27.09/26.89 (E(f12(a2,x21441,x21442),f12(a2,x21442,x21441))),
% 27.09/26.89 inference(rename_variables,[],[442])).
% 27.09/26.89 cnf(2147,plain,
% 27.09/26.89 (E(f12(a2,x21471,x21472),f12(a2,x21472,x21471))),
% 27.09/26.89 inference(rename_variables,[],[442])).
% 27.09/26.89 cnf(2150,plain,
% 27.09/26.89 (P5(a1,x21501,x21501)),
% 27.09/26.89 inference(rename_variables,[],[411])).
% 27.09/26.89 cnf(2154,plain,
% 27.09/26.89 (~E(f12(a1,f42(f42(f9(a1),x21541),x21542),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x21543,x21541)),x21542),x21544),f10(a2))),f12(a1,f42(f42(f9(a1),x21543),x21542),x21544))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730])).
% 27.09/26.89 cnf(2155,plain,
% 27.09/26.89 (~E(f12(a2,x21551,f10(a2)),x21551)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2158,plain,
% 27.09/26.89 (P5(a2,x21581,f12(a2,x21582,x21581))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(2161,plain,
% 27.09/26.89 (P5(a2,x21611,f12(a2,x21612,x21611))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(2164,plain,
% 27.09/26.89 (P5(a2,f5(a2),x21641)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2169,plain,
% 27.09/26.89 (P5(a2,f5(a2),x21691)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2172,plain,
% 27.09/26.89 (P5(a2,x21721,f12(a2,x21722,x21721))),
% 27.09/26.89 inference(rename_variables,[],[453])).
% 27.09/26.89 cnf(2174,plain,
% 27.09/26.89 (~P6(a1,a65,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,541,1910,418,419,526,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146])).
% 27.09/26.89 cnf(2176,plain,
% 27.09/26.89 (~P5(a2,a69,f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,541,1910,418,419,526,527,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028])).
% 27.09/26.89 cnf(2177,plain,
% 27.09/26.89 (P5(a2,f5(a2),x21771)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2180,plain,
% 27.09/26.89 (~P6(a2,x21801,f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[541])).
% 27.09/26.89 cnf(2183,plain,
% 27.09/26.89 (~P6(a2,x21831,f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[541])).
% 27.09/26.89 cnf(2185,plain,
% 27.09/26.89 (~P5(a2,a32,f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946])).
% 27.09/26.89 cnf(2186,plain,
% 27.09/26.89 (~P6(a2,x21861,f5(a2))),
% 27.09/26.89 inference(rename_variables,[],[541])).
% 27.09/26.89 cnf(2191,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x21911,x21912),x21912),x21911)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(2192,plain,
% 27.09/26.89 (P5(a2,f5(a2),x21921)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2193,plain,
% 27.09/26.89 (P5(a2,x21931,x21931)),
% 27.09/26.89 inference(rename_variables,[],[412])).
% 27.09/26.89 cnf(2195,plain,
% 27.09/26.89 (~P5(a2,f12(a2,f42(f42(f9(a2),f6(a1,x21951)),x21952),f12(a2,f12(a2,f42(f42(f9(a2),f6(a1,x21951)),x21952),x21953),f10(a2))),x21953)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,413,1813,414,1900,1902,538,1887,1893,1960,1977,197,198,199,202,203,233,234,239,273,283,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388])).
% 27.09/26.89 cnf(2196,plain,
% 27.09/26.89 (P5(a2,f5(a2),x21961)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2199,plain,
% 27.09/26.89 (P5(a2,x21991,x21991)),
% 27.09/26.89 inference(rename_variables,[],[412])).
% 27.09/26.89 cnf(2201,plain,
% 27.09/26.89 (~P5(a2,f12(a2,f12(a2,f5(a2),f10(a2)),x22011),x22011)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,197,198,199,202,203,233,234,239,273,283,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386])).
% 27.09/26.89 cnf(2202,plain,
% 27.09/26.89 (~P6(a2,x22021,x22021)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(2203,plain,
% 27.09/26.89 (P6(a2,x22031,f12(a2,x22031,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(2205,plain,
% 27.09/26.89 (~P6(a2,f12(a2,f42(f42(f9(a2),f6(a1,x22051)),x22052),f12(a2,f12(a2,f42(f42(f9(a2),f6(a1,x22051)),x22052),x22053),x22054)),x22053)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,197,198,199,202,203,233,234,239,273,283,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385])).
% 27.09/26.89 cnf(2206,plain,
% 27.09/26.89 (P5(a2,f5(a2),x22061)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2208,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x22081,f12(a2,x22082,f12(a2,f12(a2,f5(a2),f10(a2)),x22083))),x22083)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,202,203,233,234,239,273,283,285,317,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,2203,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384])).
% 27.09/26.89 cnf(2209,plain,
% 27.09/26.89 (P6(a2,x22091,f12(a2,x22091,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(2211,plain,
% 27.09/26.89 (~P5(a2,f12(a2,f8(a4,a64),x22111),x22111)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,202,203,233,234,239,273,283,285,317,326,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,2203,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527])).
% 27.09/26.89 cnf(2212,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x22121,x22122),x22122)),
% 27.09/26.89 inference(rename_variables,[],[555])).
% 27.09/26.89 cnf(2214,plain,
% 27.09/26.89 (~P5(a2,f12(a2,x22141,f8(a4,a64)),x22141)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,202,203,233,234,239,273,283,285,317,326,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,2203,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526])).
% 27.09/26.89 cnf(2218,plain,
% 27.09/26.89 (P6(a2,x22181,f12(a2,x22181,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(2221,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x22211,x22212),x22212),x22211)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(2223,plain,
% 27.09/26.89 (~P8(f63(a1),f24(a1,f14(a1,f5(a1)),x22231),f12(a2,f5(f63(a1)),f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,233,234,239,273,283,285,317,326,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271])).
% 27.09/26.89 cnf(2224,plain,
% 27.09/26.89 (~E(f12(a2,x22241,f10(a2)),x22241)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2227,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x22271,x22272),x22272),x22271)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(2229,plain,
% 27.09/26.89 (~P5(a2,f8(a4,a64),f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,233,234,239,273,283,285,317,326,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436])).
% 27.09/26.89 cnf(2230,plain,
% 27.09/26.89 (P5(a2,x22301,x22301)),
% 27.09/26.89 inference(rename_variables,[],[412])).
% 27.09/26.89 cnf(2232,plain,
% 27.09/26.89 (~P6(a1,f5(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2))))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,285,317,326,328,329,330,334,337,339,345,347,349,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,422,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,494,1953,471,458,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413])).
% 27.09/26.89 cnf(2239,plain,
% 27.09/26.89 (~E(f12(a2,x22391,f10(a2)),x22391)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2242,plain,
% 27.09/26.89 (~E(f12(a2,x22421,f10(a2)),x22421)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2245,plain,
% 27.09/26.89 (~E(f12(a2,x22451,f10(a2)),x22451)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2248,plain,
% 27.09/26.89 (E(f12(a2,x22481,x22482),f12(a2,x22482,x22481))),
% 27.09/26.89 inference(rename_variables,[],[442])).
% 27.09/26.89 cnf(2249,plain,
% 27.09/26.89 (~E(f12(a2,x22491,f10(a2)),x22491)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2251,plain,
% 27.09/26.89 (~P5(a3,f5(a3),f6(a3,f10(a3)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278])).
% 27.09/26.89 cnf(2252,plain,
% 27.09/26.89 (E(f12(a3,f6(a3,x22521),x22521),f5(a3))),
% 27.09/26.89 inference(rename_variables,[],[438])).
% 27.09/26.89 cnf(2255,plain,
% 27.09/26.89 (P5(a2,f5(a2),x22551)),
% 27.09/26.89 inference(rename_variables,[],[424])).
% 27.09/26.89 cnf(2269,plain,
% 27.09/26.89 (P8(a1,x22691,x22691)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703])).
% 27.09/26.89 cnf(2279,plain,
% 27.09/26.89 (P6(a3,f5(a3),f12(a3,f10(a3),f10(a3)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935])).
% 27.09/26.89 cnf(2282,plain,
% 27.09/26.89 (~E(f12(a2,x22821,f10(a2)),x22821)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2290,plain,
% 27.09/26.89 (~P8(a2,f5(a2),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341])).
% 27.09/26.89 cnf(2302,plain,
% 27.09/26.89 (P6(a3,f10(a3),f12(a3,f12(a3,f10(a3),f10(a3)),f10(a3)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194])).
% 27.09/26.89 cnf(2310,plain,
% 27.09/26.89 (~P8(a3,f12(a3,f10(a3),f10(a3)),f6(a3,f10(a3)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996])).
% 27.09/26.89 cnf(2318,plain,
% 27.09/26.89 (~P6(a1,f21(a1,x23181),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905])).
% 27.09/26.89 cnf(2340,plain,
% 27.09/26.89 (P38(f68(x23401,a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,381,382,387,393,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647])).
% 27.09/26.89 cnf(2344,plain,
% 27.09/26.89 (P58(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,334,336,337,339,345,347,349,351,356,357,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619])).
% 27.09/26.89 cnf(2360,plain,
% 27.09/26.89 (P49(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,331,334,336,337,339,345,347,349,351,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611])).
% 27.09/26.89 cnf(2366,plain,
% 27.09/26.89 (P48(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608])).
% 27.09/26.89 cnf(2370,plain,
% 27.09/26.89 (P50(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606])).
% 27.09/26.89 cnf(2376,plain,
% 27.09/26.89 (P57(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603])).
% 27.09/26.89 cnf(2380,plain,
% 27.09/26.89 (P18(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601])).
% 27.09/26.89 cnf(2382,plain,
% 27.09/26.89 (P25(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600])).
% 27.09/26.89 cnf(2444,plain,
% 27.09/26.89 (P52(f63(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569])).
% 27.09/26.89 cnf(2458,plain,
% 27.09/26.89 (E(f12(a2,f52(f12(a2,f5(a2),f10(a2))),f10(a2)),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963])).
% 27.09/26.89 cnf(2459,plain,
% 27.09/26.89 (P6(a2,x24591,f12(a2,x24591,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(2465,plain,
% 27.09/26.89 (~E(f12(a2,f12(a2,x24651,f10(a2)),x24652),f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805])).
% 27.09/26.89 cnf(2467,plain,
% 27.09/26.89 (~E(f12(a2,x24671,f12(a2,x24672,f12(a2,x24673,f10(a2)))),f5(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804])).
% 27.09/26.89 cnf(2476,plain,
% 27.09/26.89 (~E(f12(a2,x24761,f10(a2)),x24761)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2478,plain,
% 27.09/26.89 (~E(f42(f42(f9(a2),x24781),f12(a2,f10(a2),f10(a2))),f10(a2))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765])).
% 27.09/26.89 cnf(2479,plain,
% 27.09/26.89 (~E(f12(a2,x24791,f10(a2)),x24791)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2493,plain,
% 27.09/26.89 (~P6(a2,f5(a2),f42(f42(f9(a2),f5(a2)),x24931))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,2202,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264])).
% 27.09/26.89 cnf(2494,plain,
% 27.09/26.89 (~P6(a2,x24941,x24941)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(2496,plain,
% 27.09/26.89 (~P6(a2,f5(a2),f42(f42(f9(a2),x24961),f5(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263])).
% 27.09/26.89 cnf(2497,plain,
% 27.09/26.89 (~P6(a2,x24971,x24971)),
% 27.09/26.89 inference(rename_variables,[],[538])).
% 27.09/26.89 cnf(2499,plain,
% 27.09/26.89 (P6(a3,f5(a3),f12(a3,f10(a3),f5(a3)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,1819,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219])).
% 27.09/26.89 cnf(2500,plain,
% 27.09/26.89 (P5(a3,x25001,x25001)),
% 27.09/26.89 inference(rename_variables,[],[413])).
% 27.09/26.89 cnf(2503,plain,
% 27.09/26.89 (P5(a3,x25031,x25031)),
% 27.09/26.89 inference(rename_variables,[],[413])).
% 27.09/26.89 cnf(2506,plain,
% 27.09/26.89 (P6(a2,x25061,f12(a2,x25061,f10(a2)))),
% 27.09/26.89 inference(rename_variables,[],[459])).
% 27.09/26.89 cnf(2511,plain,
% 27.09/26.89 (~E(f12(a2,x25111,f10(a2)),x25111)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2514,plain,
% 27.09/26.89 (E(f12(a2,x25141,x25142),f12(a2,x25142,x25141))),
% 27.09/26.89 inference(rename_variables,[],[442])).
% 27.09/26.89 cnf(2601,plain,
% 27.09/26.89 (E(f11(x26011,x26012,f8(a4,a30)),f11(x26011,x26012,f8(a4,a64)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14])).
% 27.09/26.89 cnf(2624,plain,
% 27.09/26.89 (~P6(a2,f12(a2,x26241,x26242),f12(a2,x26241,f5(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563])).
% 27.09/26.89 cnf(2626,plain,
% 27.09/26.89 (P5(a2,x26261,f11(a2,f12(a2,x26262,x26261),x26262))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529])).
% 27.09/26.89 cnf(2628,plain,
% 27.09/26.89 (~P6(a2,f42(f42(f9(a2),x26281),x26282),f42(f42(f9(a2),f5(a2)),x26282))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,533,534,550,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490])).
% 27.09/26.89 cnf(2633,plain,
% 27.09/26.89 (P5(a1,x26331,x26331)),
% 27.09/26.89 inference(rename_variables,[],[411])).
% 27.09/26.89 cnf(2636,plain,
% 27.09/26.89 (P5(a1,x26361,x26361)),
% 27.09/26.89 inference(rename_variables,[],[411])).
% 27.09/26.89 cnf(2639,plain,
% 27.09/26.89 (P5(a1,x26391,x26391)),
% 27.09/26.89 inference(rename_variables,[],[411])).
% 27.09/26.89 cnf(2663,plain,
% 27.09/26.89 (~P5(a1,f11(a1,a65,f5(a1)),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293])).
% 27.09/26.89 cnf(2671,plain,
% 27.09/26.89 (~P6(a1,f42(f42(f9(a1),x26711),x26711),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226])).
% 27.09/26.89 cnf(2675,plain,
% 27.09/26.89 (P6(a3,f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))),f5(a3))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187])).
% 27.09/26.89 cnf(2679,plain,
% 27.09/26.89 (P6(a1,x26791,f12(a1,x26791,f10(a1)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024])).
% 27.09/26.89 cnf(2681,plain,
% 27.09/26.89 (P5(a1,f5(a1),f42(f42(f9(a1),x26811),x26811))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994])).
% 27.09/26.89 cnf(2683,plain,
% 27.09/26.89 (E(f11(a1,f12(a1,x26831,x26832),x26832),x26831)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981])).
% 27.09/26.89 cnf(2697,plain,
% 27.09/26.89 (~P5(a1,f10(a1),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865])).
% 27.09/26.89 cnf(2699,plain,
% 27.09/26.89 (~P6(a1,f10(a1),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864])).
% 27.09/26.89 cnf(2711,plain,
% 27.09/26.89 (P5(a1,f5(a1),f10(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749])).
% 27.09/26.89 cnf(2713,plain,
% 27.09/26.89 (P6(a1,f5(a1),f10(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,189,190,194,196,197,198,199,200,202,203,205,221,227,233,234,239,273,283,284,285,313,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748])).
% 27.09/26.89 cnf(2760,plain,
% 27.09/26.89 (~E(f12(a2,x27601,f10(a2)),x27601)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2764,plain,
% 27.09/26.89 (~P6(a2,f42(f42(f9(a2),f5(a2)),x27641),f42(f42(f9(a2),f5(a2)),x27642))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,194,196,197,198,199,200,202,203,205,221,224,227,233,234,235,239,255,270,273,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495])).
% 27.09/26.89 cnf(2769,plain,
% 27.09/26.89 (~E(f12(a2,x27691,f10(a2)),x27691)),
% 27.09/26.89 inference(rename_variables,[],[543])).
% 27.09/26.89 cnf(2785,plain,
% 27.09/26.89 (E(f42(f42(f9(a2),f11(a2,x27851,x27851)),x27852),f42(f42(f9(a2),f11(a2,x27851,x27851)),x27853))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,194,196,197,198,199,200,202,203,205,221,224,227,233,234,235,239,255,270,273,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832])).
% 27.09/26.89 cnf(2789,plain,
% 27.09/26.89 (~P6(a1,f5(a1),f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1))))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,194,196,197,198,199,200,202,203,205,221,224,227,233,234,235,239,255,270,273,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159])).
% 27.09/26.89 cnf(2829,plain,
% 27.09/26.89 (E(f12(a2,x28291,f59(x28291,x28291)),x28291)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,194,196,197,198,199,200,202,203,204,205,221,224,227,233,234,235,239,255,270,273,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970])).
% 27.09/26.89 cnf(2831,plain,
% 27.09/26.89 (E(f12(a2,x28311,f51(x28311,x28311)),x28311)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,194,196,197,198,199,200,202,203,204,205,221,224,227,233,234,235,239,255,270,273,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969])).
% 27.09/26.89 cnf(2845,plain,
% 27.09/26.89 (~E(f12(a1,x28451,f12(a2,f6(a1,x28451),f12(a2,f5(a2),f10(a2)))),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,194,196,197,198,199,200,202,203,204,205,221,224,227,233,234,235,239,255,270,273,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837])).
% 27.09/26.89 cnf(2868,plain,
% 27.09/26.89 (E(f11(a2,f12(a2,x28681,x28682),x28682),x28681)),
% 27.09/26.89 inference(rename_variables,[],[456])).
% 27.09/26.89 cnf(2908,plain,
% 27.09/26.89 (~P6(a1,f12(a1,f42(f42(f9(a1),x29081),x29081),f42(f42(f9(a1),x29082),x29082)),f5(a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,194,196,197,198,199,200,202,203,204,205,221,224,227,233,234,235,239,251,255,270,273,274,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716])).
% 27.09/26.89 cnf(2944,plain,
% 27.09/26.89 (P5(a2,f11(a2,f12(a2,x29441,x29442),x29442),x29441)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,194,196,197,198,199,200,202,203,204,205,221,224,227,233,234,235,239,251,255,270,273,274,283,284,285,313,314,317,326,328,329,330,331,334,336,337,339,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465])).
% 27.09/26.89 cnf(3106,plain,
% 27.09/26.89 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x31061),f18(a1,f10(a1),f5(f63(a1))))),f19(a1,x31061,x31062)),x31062)),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,270,273,274,283,284,285,294,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772])).
% 27.09/26.89 cnf(3118,plain,
% 27.09/26.89 (P15(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,269,270,273,274,283,284,285,294,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188])).
% 27.09/26.89 cnf(3119,plain,
% 27.09/26.89 (P16(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,269,270,273,274,283,284,285,289,294,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187])).
% 27.09/26.89 cnf(3120,plain,
% 27.09/26.89 (P17(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,269,270,273,274,283,284,285,289,293,294,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186])).
% 27.09/26.89 cnf(3121,plain,
% 27.09/26.89 (P47(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185])).
% 27.09/26.89 cnf(3122,plain,
% 27.09/26.89 (P35(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184])).
% 27.09/26.89 cnf(3123,plain,
% 27.09/26.89 (P29(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,305,313,314,317,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183])).
% 27.09/26.89 cnf(3124,plain,
% 27.09/26.89 (P31(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,305,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182])).
% 27.09/26.89 cnf(3125,plain,
% 27.09/26.89 (P74(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,305,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181])).
% 27.09/26.89 cnf(3126,plain,
% 27.09/26.89 (P26(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,305,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180])).
% 27.09/26.89 cnf(3127,plain,
% 27.09/26.89 (P20(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179])).
% 27.09/26.89 cnf(3128,plain,
% 27.09/26.89 (P72(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178])).
% 27.09/26.89 cnf(3129,plain,
% 27.09/26.89 (P21(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177])).
% 27.09/26.89 cnf(3130,plain,
% 27.09/26.89 (P23(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,309,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175])).
% 27.09/26.89 cnf(3131,plain,
% 27.09/26.89 (P37(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,309,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174])).
% 27.09/26.89 cnf(3132,plain,
% 27.09/26.89 (P65(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,309,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173])).
% 27.09/26.89 cnf(3133,plain,
% 27.09/26.89 (P49(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,283,284,285,289,293,294,301,305,309,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172])).
% 27.09/26.89 cnf(3134,plain,
% 27.09/26.89 (P56(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,275,283,284,285,289,293,294,301,305,309,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171])).
% 27.09/26.89 cnf(3135,plain,
% 27.09/26.89 (P75(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170])).
% 27.09/26.89 cnf(3136,plain,
% 27.09/26.89 (P30(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169])).
% 27.09/26.89 cnf(3137,plain,
% 27.09/26.89 (P39(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168])).
% 27.09/26.89 cnf(3138,plain,
% 27.09/26.89 (P22(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167])).
% 27.09/26.89 cnf(3139,plain,
% 27.09/26.89 (P64(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,243,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166])).
% 27.09/26.89 cnf(3140,plain,
% 27.09/26.89 (~P7(a4,a4,f11(a2,f12(a2,f15(a4,a70),x31401),x31401))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,243,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165])).
% 27.09/26.89 cnf(3143,plain,
% 27.09/26.89 (P63(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,241,243,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162])).
% 27.09/26.89 cnf(3144,plain,
% 27.09/26.89 (P33(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,241,243,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161])).
% 27.09/26.89 cnf(3145,plain,
% 27.09/26.89 (P71(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,241,243,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160])).
% 27.09/26.89 cnf(3146,plain,
% 27.09/26.89 (P69(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,239,241,243,247,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159])).
% 27.09/26.89 cnf(3147,plain,
% 27.09/26.89 (P62(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158])).
% 27.09/26.89 cnf(3148,plain,
% 27.09/26.89 (P70(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157])).
% 27.09/26.89 cnf(3149,plain,
% 27.09/26.89 (P44(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156])).
% 27.09/26.89 cnf(3150,plain,
% 27.09/26.89 (P41(f12(a2,a62,f5(a2)))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155])).
% 27.09/26.89 cnf(3151,plain,
% 27.09/26.89 (P24(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154])).
% 27.09/26.89 cnf(3152,plain,
% 27.09/26.89 (P55(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153])).
% 27.09/26.89 cnf(3153,plain,
% 27.09/26.89 (P36(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152])).
% 27.09/26.89 cnf(3154,plain,
% 27.09/26.89 (P58(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151])).
% 27.09/26.89 cnf(3155,plain,
% 27.09/26.89 (P13(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150])).
% 27.09/26.89 cnf(3156,plain,
% 27.09/26.89 (P73(f12(a2,f5(a2),a1))),
% 27.09/26.89 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149])).
% 27.09/26.90 cnf(3157,plain,
% 27.09/26.90 (P60(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148])).
% 27.09/26.90 cnf(3158,plain,
% 27.09/26.90 (P40(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147])).
% 27.09/26.90 cnf(3159,plain,
% 27.09/26.90 (P61(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146])).
% 27.09/26.90 cnf(3160,plain,
% 27.09/26.90 (P51(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145])).
% 27.09/26.90 cnf(3161,plain,
% 27.09/26.90 (~P9(a1,f12(a2,f5(f63(a1)),f5(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144])).
% 27.09/26.90 cnf(3162,plain,
% 27.09/26.90 (~P9(f12(a3,a1,f5(a3)),f5(f63(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143])).
% 27.09/26.90 cnf(3163,plain,
% 27.09/26.90 (P76(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142])).
% 27.09/26.90 cnf(3164,plain,
% 27.09/26.90 (P53(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141])).
% 27.09/26.90 cnf(3165,plain,
% 27.09/26.90 (P34(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139])).
% 27.09/26.90 cnf(3166,plain,
% 27.09/26.90 (P27(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136])).
% 27.09/26.90 cnf(3167,plain,
% 27.09/26.90 (P67(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,216,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135])).
% 27.09/26.90 cnf(3168,plain,
% 27.09/26.90 (P48(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,216,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133])).
% 27.09/26.90 cnf(3169,plain,
% 27.09/26.90 (P68(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,213,216,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132])).
% 27.09/26.90 cnf(3170,plain,
% 27.09/26.90 (P54(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,213,216,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131])).
% 27.09/26.90 cnf(3171,plain,
% 27.09/26.90 (P66(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,211,213,216,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130])).
% 27.09/26.90 cnf(3172,plain,
% 27.09/26.90 (P52(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129])).
% 27.09/26.90 cnf(3173,plain,
% 27.09/26.90 (P28(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128])).
% 27.09/26.90 cnf(3174,plain,
% 27.09/26.90 (P59(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127])).
% 27.09/26.90 cnf(3175,plain,
% 27.09/26.90 (P43(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126])).
% 27.09/26.90 cnf(3176,plain,
% 27.09/26.90 (P38(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125])).
% 27.09/26.90 cnf(3177,plain,
% 27.09/26.90 (P14(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123])).
% 27.09/26.90 cnf(3178,plain,
% 27.09/26.90 (P12(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122])).
% 27.09/26.90 cnf(3179,plain,
% 27.09/26.90 (P11(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121])).
% 27.09/26.90 cnf(3180,plain,
% 27.09/26.90 (P19(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120])).
% 27.09/26.90 cnf(3181,plain,
% 27.09/26.90 (P4(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119])).
% 27.09/26.90 cnf(3182,plain,
% 27.09/26.90 (P50(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118])).
% 27.09/26.90 cnf(3183,plain,
% 27.09/26.90 (P46(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117])).
% 27.09/26.90 cnf(3184,plain,
% 27.09/26.90 (P57(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116])).
% 27.09/26.90 cnf(3185,plain,
% 27.09/26.90 (P45(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115])).
% 27.09/26.90 cnf(3187,plain,
% 27.09/26.90 (P3(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113])).
% 27.09/26.90 cnf(3188,plain,
% 27.09/26.90 (~P8(f11(a2,a3,f5(a2)),f12(a3,f10(a3),f10(a3)),f10(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110])).
% 27.09/26.90 cnf(3189,plain,
% 27.09/26.90 (P2(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109])).
% 27.09/26.90 cnf(3190,plain,
% 27.09/26.90 (~P5(f12(a2,f5(a2),a2),f12(a2,x31901,f10(a2)),x31901)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106])).
% 27.09/26.90 cnf(3191,plain,
% 27.09/26.90 (P1(f12(a2,f5(a2),a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102])).
% 27.09/26.90 cnf(3192,plain,
% 27.09/26.90 (~P8(a2,f42(f42(f9(a2),f12(a2,f12(a2,x31921,f12(a2,f5(a2),f10(a2))),f10(a2))),x31922),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123])).
% 27.09/26.90 cnf(3194,plain,
% 27.09/26.90 (~P5(a3,f10(a3),f6(a3,f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122])).
% 27.09/26.90 cnf(3196,plain,
% 27.09/26.90 (~P5(a2,f42(f42(f9(a2),f12(a2,x31961,f10(a2))),f12(a2,x31961,f10(a2))),x31961)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121])).
% 27.09/26.90 cnf(3198,plain,
% 27.09/26.90 (~P5(a1,f21(a4,a72),f6(a1,a65))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120])).
% 27.09/26.90 cnf(3206,plain,
% 27.09/26.90 (P6(a3,f5(a3),f12(a3,f12(a3,f10(a3),f10(a3)),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859])).
% 27.09/26.90 cnf(3214,plain,
% 27.09/26.90 (~P6(a3,f12(a3,f12(a3,f10(a3),f10(a3)),f10(a3)),f12(a3,f5(a3),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,494,1953,471,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312])).
% 27.09/26.90 cnf(3220,plain,
% 27.09/26.90 (~P8(a2,f42(f42(f9(a2),f12(a2,f10(a2),f10(a2))),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320])).
% 27.09/26.90 cnf(3224,plain,
% 27.09/26.90 (P8(a2,f42(f42(f9(a2),f12(a3,f5(a3),f10(a2))),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162])).
% 27.09/26.90 cnf(3226,plain,
% 27.09/26.90 (P8(a2,f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f12(a3,f5(a3),f10(a2))),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161])).
% 27.09/26.90 cnf(3236,plain,
% 27.09/26.90 (~E(f42(f42(f9(a2),f12(a2,x32361,f10(a2))),f12(a2,f10(a2),f10(a2))),f12(a2,x32361,f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768])).
% 27.09/26.90 cnf(3237,plain,
% 27.09/26.90 (~E(f12(a2,x32371,f10(a2)),x32371)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3241,plain,
% 27.09/26.90 (P5(a3,f5(a3),f12(a3,f5(a3),f5(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365])).
% 27.09/26.90 cnf(3243,plain,
% 27.09/26.90 (P5(a3,f5(a3),f42(f42(f9(a3),f5(a3)),f5(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331])).
% 27.09/26.90 cnf(3247,plain,
% 27.09/26.90 (P6(a1,f5(a1),f42(f42(f9(a1),a65),a65))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329])).
% 27.09/26.90 cnf(3253,plain,
% 27.09/26.90 (P8(a1,x32531,f42(f42(f9(a1),f11(a2,f12(a2,f42(f42(f9(a1),x32531),x32532),x32533),x32533)),x32534))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209])).
% 27.09/26.90 cnf(3257,plain,
% 27.09/26.90 (~E(f12(a2,f12(a2,f12(a2,f42(f42(f9(a2),f5(a2)),x32571),f12(a2,f5(a2),f10(a2))),f10(a2)),x32572),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166])).
% 27.09/26.90 cnf(3258,plain,
% 27.09/26.90 (~E(f12(a2,x32581,f10(a2)),f5(a2))),
% 27.09/26.90 inference(rename_variables,[],[549])).
% 27.09/26.90 cnf(3261,plain,
% 27.09/26.90 (~E(f12(a2,x32611,f10(a2)),f5(a2))),
% 27.09/26.90 inference(rename_variables,[],[549])).
% 27.09/26.90 cnf(3263,plain,
% 27.09/26.90 (~E(f42(f42(f22(a2),f5(a2)),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,3258,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138])).
% 27.09/26.90 cnf(3264,plain,
% 27.09/26.90 (~E(f12(a2,x32641,f10(a2)),x32641)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3278,plain,
% 27.09/26.90 (P9(a1,f18(a1,x32781,f18(a1,a65,f11(a2,f12(a2,f5(f63(a1)),x32782),x32782))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,494,1953,471,460,451,458,438,549,1871,1881,1884,1972,3258,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962])).
% 27.09/26.90 cnf(3281,plain,
% 27.09/26.90 (~E(f12(a2,x32811,f10(a2)),x32811)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3294,plain,
% 27.09/26.90 (~E(f12(a2,x32941,f10(a2)),x32941)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3295,plain,
% 27.09/26.90 (~E(f12(a2,x32951,f10(a2)),f5(a2))),
% 27.09/26.90 inference(rename_variables,[],[549])).
% 27.09/26.90 cnf(3298,plain,
% 27.09/26.90 (~E(f12(a2,x32981,f10(a2)),x32981)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3299,plain,
% 27.09/26.90 (~E(f12(a2,x32991,f10(a2)),f5(a2))),
% 27.09/26.90 inference(rename_variables,[],[549])).
% 27.09/26.90 cnf(3341,plain,
% 27.09/26.90 (P6(a2,f12(a2,f5(a2),f10(a2)),f42(f42(f9(a2),f12(a2,f12(a2,x33411,f12(a2,f5(a2),f10(a2))),f10(a2))),f12(a2,f12(a2,x33411,f12(a2,f5(a2),f10(a2))),f10(a2))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706])).
% 27.09/26.90 cnf(3351,plain,
% 27.09/26.90 (~P5(a1,f42(f42(f9(a1),a65),a65),f42(f42(f9(a1),f5(a1)),a65))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604])).
% 27.09/26.90 cnf(3353,plain,
% 27.09/26.90 (~P5(a1,f42(f42(f9(a1),a65),a65),f42(f42(f9(a1),a65),f5(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603])).
% 27.09/26.90 cnf(3363,plain,
% 27.09/26.90 (P6(a2,f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f5(a2)),f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473])).
% 27.09/26.90 cnf(3367,plain,
% 27.09/26.90 (P6(a1,f42(f42(f9(a1),a65),f5(a1)),f42(f42(f9(a1),a65),a65))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468])).
% 27.09/26.90 cnf(3375,plain,
% 27.09/26.90 (~E(f42(f42(f9(a2),f8(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2)))))),f5(a4)),f42(f42(f9(a2),f8(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2)))))),a72))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158])).
% 27.09/26.90 cnf(3377,plain,
% 27.09/26.90 (~E(f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2))),f42(f42(f9(a2),f5(a2)),f12(a2,f5(a2),f10(a2))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961])).
% 27.09/26.90 cnf(3378,plain,
% 27.09/26.90 (~E(f12(a2,x33781,f10(a2)),x33781)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3383,plain,
% 27.09/26.90 (~E(f12(a2,x33831,f10(a2)),x33831)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3388,plain,
% 27.09/26.90 (~E(f12(a2,x33881,f10(a2)),x33881)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3394,plain,
% 27.09/26.90 (P6(a2,f11(a2,f8(a4,a64),f8(a4,a64)),f11(a2,f8(a4,a64),f12(a2,a69,f10(a2))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,494,1953,1963,495,471,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509])).
% 27.09/26.90 cnf(3396,plain,
% 27.09/26.90 (P5(a1,f5(a1),f21(a4,x33961))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067])).
% 27.09/26.90 cnf(3412,plain,
% 27.09/26.90 (E(f12(a1,x34121,f14(a1,f5(a1))),x34121)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740])).
% 27.09/26.90 cnf(3423,plain,
% 27.09/26.90 (~E(f12(a2,x34231,f10(a2)),x34231)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3425,plain,
% 27.09/26.90 (~P6(a1,f5(a1),f21(a1,f14(a1,f5(a1))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934])).
% 27.09/26.90 cnf(3429,plain,
% 27.09/26.90 (~P5(a1,f12(a1,a65,x34291),f12(a1,f5(a1),x34291))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583])).
% 27.09/26.90 cnf(3431,plain,
% 27.09/26.90 (~P5(a1,f12(a1,x34311,a65),f12(a1,x34311,f5(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581])).
% 27.09/26.90 cnf(3433,plain,
% 27.09/26.90 (~P6(a1,f12(a1,f5(a1),x34331),f12(a1,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)),x34331))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579])).
% 27.09/26.90 cnf(3435,plain,
% 27.09/26.90 (~P6(a1,f12(a1,x34351,f5(a1)),f12(a1,x34351,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,322,325,326,328,329,330,331,334,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577])).
% 27.09/26.90 cnf(3459,plain,
% 27.09/26.90 (P5(a3,f11(a3,f5(a3),f5(a3)),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224])).
% 27.09/26.90 cnf(3461,plain,
% 27.09/26.90 (~P5(a1,f6(a1,f5(a1)),f6(a1,a65))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140])).
% 27.09/26.90 cnf(3465,plain,
% 27.09/26.90 (P5(a1,f6(a1,f6(a1,x34651)),x34651)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112])).
% 27.09/26.90 cnf(3467,plain,
% 27.09/26.90 (P6(a1,f6(a1,f12(a1,f6(a1,x34671),f10(a1))),x34671)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110])).
% 27.09/26.90 cnf(3469,plain,
% 27.09/26.90 (P5(a1,x34691,f6(a1,f6(a1,x34691)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108])).
% 27.09/26.90 cnf(3471,plain,
% 27.09/26.90 (P6(a1,x34711,f6(a1,f6(a1,f12(a1,f6(a1,f6(a1,x34711)),f10(a1)))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106])).
% 27.09/26.90 cnf(3475,plain,
% 27.09/26.90 (P6(a1,f6(a1,a65),f6(a1,f5(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071])).
% 27.09/26.90 cnf(3485,plain,
% 27.09/26.90 (P8(f63(a1),x34851,f11(a2,f12(a2,f5(f63(a1)),x34852),x34852))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358])).
% 27.09/26.90 cnf(3487,plain,
% 27.09/26.90 (P8(f63(a1),f24(a1,f14(a1,f5(a1)),x34871),f24(a1,x34872,f11(a2,f12(a2,f5(f63(a1)),x34873),x34873)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241])).
% 27.09/26.90 cnf(3491,plain,
% 27.09/26.90 (P5(a3,f5(a3),f42(f42(f22(a3),f10(a3)),x34911))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232])).
% 27.09/26.90 cnf(3499,plain,
% 27.09/26.90 (P6(a1,f6(a1,a65),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059])).
% 27.09/26.90 cnf(3511,plain,
% 27.09/26.90 (P6(a1,f14(a1,f6(a1,a65)),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053])).
% 27.09/26.90 cnf(3547,plain,
% 27.09/26.90 (E(f13(f63(a1),f12(a2,f5(f63(a1)),f5(a2))),f5(f63(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,494,1953,1963,495,471,452,460,451,458,438,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681])).
% 27.09/26.90 cnf(3565,plain,
% 27.09/26.90 (P10(a2,f42(f9(a2),f5(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389])).
% 27.09/26.90 cnf(3571,plain,
% 27.09/26.90 (P5(a3,f12(a3,f5(a3),f5(a3)),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240])).
% 27.09/26.90 cnf(3573,plain,
% 27.09/26.90 (P6(a3,f12(a3,f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3)))),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239])).
% 27.09/26.90 cnf(3577,plain,
% 27.09/26.90 (P5(a3,f5(a3),f12(a3,f10(a3),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237])).
% 27.09/26.90 cnf(3589,plain,
% 27.09/26.90 (~E(f13(a1,a65),f6(a1,f10(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894])).
% 27.09/26.90 cnf(3611,plain,
% 27.09/26.90 (~P5(a1,f12(a1,f42(f42(f9(a1),x36111),x36111),f42(f42(f9(a1),f10(a1)),f10(a1))),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,213,216,219,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717])).
% 27.09/26.90 cnf(3626,plain,
% 27.09/26.90 (~E(f12(a2,x36261,f10(a2)),x36261)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3628,plain,
% 27.09/26.90 (~P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x36281),f18(a1,f10(a1),f5(f63(a1))))),f12(a2,f19(a1,x36281,f12(a2,f5(f63(a1)),f10(a2))),f10(a2))),f12(a2,f5(f63(a1)),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788])).
% 27.09/26.90 cnf(3629,plain,
% 27.09/26.90 (~E(f12(a2,x36291,f10(a2)),x36291)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3631,plain,
% 27.09/26.90 (~P8(f63(a4),f18(a4,f6(a4,a66),f18(a4,f10(a4),f5(f63(a4)))),a64)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714])).
% 27.09/26.90 cnf(3633,plain,
% 27.09/26.90 (P8(f63(a4),f18(a4,f6(a4,a33),f18(a4,f10(a4),f5(f63(a4)))),f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2)))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669])).
% 27.09/26.90 cnf(3653,plain,
% 27.09/26.90 (E(f12(a3,f42(f42(f9(a3),x36531),x36532),x36533),f12(a3,f42(f42(f9(a3),x36534),x36532),f12(a3,x36533,f42(f42(f9(a3),f11(a3,x36531,x36534)),x36532))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741])).
% 27.09/26.90 cnf(3655,plain,
% 27.09/26.90 (E(f12(a1,f42(f42(f9(a1),x36551),x36552),x36553),f12(a1,f42(f42(f9(a1),x36554),x36552),f42(f42(f23(x36555,f12(a1,f42(f42(f9(a1),f11(a1,x36551,x36554)),x36552),x36553),x36556),x36557),f5(a2))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740])).
% 27.09/26.90 cnf(3659,plain,
% 27.09/26.90 (P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,f12(a2,f42(f42(f9(a2),f5(a2)),x36591),x36592),f12(a2,f42(f42(f9(a2),f5(a2)),x36591),x36592))),x36593),f10(a2)),f10(a2))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080])).
% 27.09/26.90 cnf(3666,plain,
% 27.09/26.90 (~P6(a3,f12(a3,f42(f42(f9(a3),f10(a3)),f10(a3)),f5(a3)),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702])).
% 27.09/26.90 cnf(3670,plain,
% 27.09/26.90 (~P5(a3,f5(a3),f12(a3,f42(f42(f9(a3),f10(a3)),f6(a3,f10(a3))),f5(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701])).
% 27.09/26.90 cnf(3676,plain,
% 27.09/26.90 (P9(a1,f42(f42(f9(f63(a1)),f18(a1,a65,f11(a2,f12(a2,f5(f63(a1)),x36761),x36761))),f18(a1,a65,f11(a2,f12(a2,f5(f63(a1)),x36761),x36761))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117])).
% 27.09/26.90 cnf(3686,plain,
% 27.09/26.90 (~P5(a2,f11(a2,f12(a2,f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f5(a2))),x36861),x36862),f10(a2)),f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f5(a2))),x36861),x36862)),f11(a2,x36862,f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f5(a2))),x36861),x36862)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682])).
% 27.09/26.90 cnf(3688,plain,
% 27.09/26.90 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x36881),f18(a1,f10(a1),f5(f63(a1))))),f5(a2)),x36882)),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592])).
% 27.09/26.90 cnf(3696,plain,
% 27.09/26.90 (~P5(a3,f42(f42(f22(a3),f12(a3,f10(a3),f10(a3))),f12(a2,x36961,f10(a2))),f42(f42(f22(a3),f12(a3,f10(a3),f10(a3))),x36961))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648])).
% 27.09/26.90 cnf(3698,plain,
% 27.09/26.90 (~P6(a3,f42(f42(f22(a3),f12(a3,f10(a3),f10(a3))),f5(a2)),f42(f42(f22(a3),f12(a3,f10(a3),f10(a3))),f5(a2)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646])).
% 27.09/26.90 cnf(3704,plain,
% 27.09/26.90 (~P9(a1,f18(a1,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)),f5(f63(a1))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243])).
% 27.09/26.90 cnf(3709,plain,
% 27.09/26.90 (~E(f12(a2,x37091,f10(a2)),x37091)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3710,plain,
% 27.09/26.90 (~E(f12(a2,x37101,f10(a2)),f5(a2))),
% 27.09/26.90 inference(rename_variables,[],[549])).
% 27.09/26.90 cnf(3734,plain,
% 27.09/26.90 (~P5(a1,f42(f42(f9(a1),a27),a65),f42(f42(f9(a1),a27),f5(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657])).
% 27.09/26.90 cnf(3736,plain,
% 27.09/26.90 (~P6(a3,f42(f42(f9(a3),f10(a3)),f5(a3)),f42(f42(f9(a3),f5(a3)),f5(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656])).
% 27.09/26.90 cnf(3740,plain,
% 27.09/26.90 (~P6(a3,f42(f42(f9(a3),f5(a3)),f10(a3)),f42(f42(f9(a3),f5(a3)),f5(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653])).
% 27.09/26.90 cnf(3742,plain,
% 27.09/26.90 (~P6(a3,f42(f42(f9(a3),f10(a3)),f10(a3)),f42(f42(f9(a3),f10(a3)),f5(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652])).
% 27.09/26.90 cnf(3748,plain,
% 27.09/26.90 (~P6(a3,f42(f42(f9(a3),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3)))),f5(a3)),f42(f42(f9(a3),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3)))),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649])).
% 27.09/26.90 cnf(3758,plain,
% 27.09/26.90 (~P8(a1,f42(f42(f9(a1),f10(a1)),f5(a1)),f42(f42(f9(a1),f10(a1)),f10(a1)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,216,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571])).
% 27.09/26.90 cnf(3768,plain,
% 27.09/26.90 (P6(a1,f42(f42(f9(a1),a43),f5(a1)),f42(f42(f9(a1),a43),a43))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543])).
% 27.09/26.90 cnf(3770,plain,
% 27.09/26.90 (P6(a1,f42(f42(f9(a1),f5(a1)),a43),f42(f42(f9(a1),a43),a43))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542])).
% 27.09/26.90 cnf(3774,plain,
% 27.09/26.90 (P6(a1,f42(f42(f9(a1),a27),f5(a1)),f42(f42(f9(a1),a27),a27))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540])).
% 27.09/26.90 cnf(3782,plain,
% 27.09/26.90 (P6(a3,f42(f42(f9(a3),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3)))),f5(a3)),f42(f42(f9(a3),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3)))),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3)))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534])).
% 27.09/26.90 cnf(3787,plain,
% 27.09/26.90 (~E(f12(a2,x37871,f10(a2)),x37871)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(3796,plain,
% 27.09/26.90 (~P5(a1,f5(a1),f42(f42(f9(a1),a65),f6(a1,a65)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447])).
% 27.09/26.90 cnf(3806,plain,
% 27.09/26.90 (P6(a1,f12(a1,f6(a1,a65),f6(a1,a65)),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433])).
% 27.09/26.90 cnf(3810,plain,
% 27.09/26.90 (P5(a3,f42(f42(f9(a3),f5(a3)),f5(a3)),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427])).
% 27.09/26.90 cnf(3814,plain,
% 27.09/26.90 (P5(a2,f42(f42(f9(a2),f11(a2,f5(a2),x38141)),f19(a1,x38142,x38143)),f5(a2))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425])).
% 27.09/26.90 cnf(3822,plain,
% 27.09/26.90 (P5(a3,f5(a3),f42(f42(f9(a3),f10(a3)),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417])).
% 27.09/26.90 cnf(3824,plain,
% 27.09/26.90 (P5(a3,f5(a3),f42(f42(f9(a3),f11(a3,f10(a3),f10(a3))),f11(a3,f10(a3),f10(a3))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416])).
% 27.09/26.90 cnf(3830,plain,
% 27.09/26.90 (P5(a3,f5(a3),f42(f42(f9(a3),f6(a3,f10(a3))),f6(a3,f10(a3))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412])).
% 27.09/26.90 cnf(3841,plain,
% 27.09/26.90 (~E(f42(f42(f9(a1),f10(a1)),f10(a1)),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847])).
% 27.09/26.90 cnf(3843,plain,
% 27.09/26.90 (~E(f42(f42(f9(a3),f10(a3)),f10(a3)),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846])).
% 27.09/26.90 cnf(3851,plain,
% 27.09/26.90 (~P6(a1,f5(a1),f12(a1,f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1))),f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1)))))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720])).
% 27.09/26.90 cnf(3853,plain,
% 27.09/26.90 (P5(a1,f12(a1,f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1))),f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1)))),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720,1668])).
% 27.09/26.90 cnf(3855,plain,
% 27.09/26.90 (E(f12(a3,f42(f42(f9(a3),f6(a3,f5(a3))),f6(a3,f5(a3))),f42(f42(f9(a3),f6(a3,f5(a3))),f6(a3,f5(a3)))),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,254,255,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720,1668,1265])).
% 27.09/26.90 cnf(3879,plain,
% 27.09/26.90 (~E(f42(f42(f22(a3),f10(a3)),x38791),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,215,216,218,219,220,221,223,224,226,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,253,254,255,257,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720,1668,1265,1228,1748,1726,1725,1760,1747,1746,1637,1735,1279,897,896])).
% 27.09/26.90 cnf(3889,plain,
% 27.09/26.90 (P6(a3,f42(f42(f9(a3),f5(a3)),f5(a3)),f42(f42(f9(a3),f10(a3)),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,214,215,216,218,219,220,221,223,224,226,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,253,254,255,257,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720,1668,1265,1228,1748,1726,1725,1760,1747,1746,1637,1735,1279,897,896,1680,1679,1678,1677,1676])).
% 27.09/26.90 cnf(3896,plain,
% 27.09/26.90 (~P6(a3,f5(a3),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,214,215,216,218,219,220,221,223,224,226,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,253,254,255,257,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,3787,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720,1668,1265,1228,1748,1726,1725,1760,1747,1746,1637,1735,1279,897,896,1680,1679,1678,1677,1676,1675,828,936])).
% 27.09/26.90 cnf(3898,plain,
% 27.09/26.90 (~P6(a1,f42(f42(f9(a1),x38981),x38981),f6(a1,f42(f42(f9(a1),x38982),x38982)))),
% 27.09/26.90 inference(scs_inference,[],[562,411,1904,1906,2150,2633,2636,2639,412,2119,2124,2130,2193,2199,2230,413,1813,1819,2500,2503,414,1900,1902,538,1887,1893,1960,1977,2127,2202,2494,2497,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,208,209,210,211,212,213,214,215,216,218,219,220,221,223,224,226,227,228,229,230,232,233,234,235,237,239,240,241,243,246,247,250,251,253,254,255,257,258,262,266,267,269,270,273,274,275,278,282,283,284,285,289,293,294,297,298,301,305,309,313,314,317,318,319,320,322,325,326,328,329,330,331,334,335,336,337,339,340,341,342,345,346,347,349,351,353,356,357,360,363,366,367,368,369,370,374,375,377,378,381,382,387,391,392,393,397,424,1926,1933,2029,2131,2164,2169,2177,2192,2196,2206,2255,541,1910,2015,2180,2183,2186,418,419,420,551,526,527,531,406,405,403,432,434,437,533,534,550,465,466,535,401,402,536,430,516,521,518,512,561,453,1808,1816,1824,1827,2158,2161,2172,454,455,1925,555,1803,1843,1846,1852,2212,556,1832,1849,442,2144,2147,2248,2514,443,422,1973,459,1952,1956,1966,1969,1976,1990,1995,2203,2209,2218,2459,2506,557,1837,1840,1890,1957,2023,456,1874,1896,1898,1984,2010,2191,2221,2227,2868,457,2091,425,426,427,428,1989,429,543,1857,1996,2007,2018,2028,2054,2061,2088,2099,2102,2114,2155,2224,2239,2242,2245,2249,2282,2476,2479,2511,2760,2769,3237,3264,3281,3294,3298,3378,3383,3388,3423,3626,3629,3709,3787,407,494,1953,1963,495,471,452,460,451,458,438,2252,549,1871,1881,1884,1972,3258,3261,3295,3299,3710,470,415,416,558,483,2,813,784,783,778,797,977,938,1368,1367,1306,1305,1299,1296,1288,1287,1284,1192,1178,1176,1174,1172,1170,1115,973,918,790,1211,1130,22,17,1564,1373,980,928,868,1186,1184,808,1464,1463,1462,134,124,112,111,108,107,105,104,103,3,1015,1014,1011,1010,1009,984,983,942,940,926,879,877,858,826,825,712,710,1221,1220,1131,1352,1371,1361,1359,719,1428,1298,1297,937,1508,1289,855,1366,1066,1065,1064,836,663,662,646,1223,665,1587,1586,1127,1126,1093,1091,1090,1089,1088,1087,1086,1085,1083,1081,1049,888,730,661,660,659,658,657,656,655,641,638,1357,1356,1355,1354,1353,1045,1002,843,871,870,869,860,796,795,856,1565,1455,1777,1776,1775,1774,1767,1766,1765,1764,1743,1742,1733,1732,1784,1731,1730,1152,1151,1150,1149,1148,1147,1146,1028,954,948,946,889,1360,1388,1387,1386,1385,1384,1527,1526,1525,1185,1271,1076,1436,1413,1364,1363,1251,1249,899,1611,1278,1244,913,912,907,850,849,848,703,702,690,686,683,935,810,809,694,1235,1341,1301,1300,1202,1200,1197,1194,1193,1116,997,996,974,972,971,905,721,720,707,706,692,652,651,650,649,648,647,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,963,861,841,805,804,794,793,792,766,765,734,679,678,676,625,624,1264,1263,1219,1157,1156,965,1129,1070,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,16,15,14,13,12,11,10,9,8,7,6,5,4,1757,1738,1711,1663,1575,1574,1563,1529,1490,1489,1399,1398,1397,1381,1380,1379,1378,1377,1376,1375,1374,1318,1317,1315,1293,1292,1283,1262,1226,1188,1187,1177,1024,994,981,976,975,921,919,898,872,865,864,862,775,774,773,769,749,748,747,746,739,729,728,727,725,724,723,718,717,716,715,714,713,670,669,668,627,626,622,1686,1683,1568,1495,1494,1466,1440,1439,1291,1268,1267,1164,833,832,830,1159,945,1584,1505,1504,1480,1479,1343,1342,1328,1327,1280,1257,1183,1182,1125,1124,1097,1068,1029,970,969,933,932,916,903,863,844,837,807,806,802,801,800,786,785,767,760,759,757,756,755,754,738,737,701,700,682,636,635,634,633,632,631,1344,1255,1254,1759,1758,1716,1664,1642,1634,1633,1632,1616,1615,1614,1599,1598,1597,1596,1595,1488,1487,1486,1484,1465,1460,1458,1457,1454,1453,1443,1351,1350,1349,1347,1334,1333,1313,1207,1203,1137,1135,1134,1133,1114,1104,1103,1079,1077,1069,1044,1043,956,944,880,818,817,777,776,758,1749,1695,1688,1684,1671,1670,1661,1631,1630,1594,1593,1558,1557,1555,1554,1520,1519,1518,1517,1513,1503,1501,1500,1482,1442,1218,1217,1216,1213,1145,1144,1143,1699,1672,1644,1643,1641,1640,902,1755,1729,1715,1705,1704,1700,1772,1762,1736,1662,1782,1783,188,187,186,185,184,183,182,181,180,179,178,177,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,139,136,135,133,132,131,130,129,128,127,126,125,123,122,121,120,119,118,117,116,115,114,113,110,109,106,102,1123,1122,1121,1120,993,982,923,859,1696,741,1332,1312,1311,1214,1320,1319,1162,1161,1031,978,853,770,768,698,1365,1331,1330,1329,1270,1222,1209,1208,1166,1165,1138,1099,1098,1042,1041,1000,999,962,1032,733,1692,1691,1281,1272,1168,1167,1101,1100,1512,1511,1461,1438,1383,1023,1022,1021,1020,1018,1017,840,839,732,731,675,674,673,1706,1610,1608,1607,1606,1604,1603,1600,1498,1496,1474,1473,1472,1468,1467,1372,1282,1158,961,960,959,957,1763,1204,1510,1509,1067,1036,1035,1034,1033,995,929,829,740,653,637,629,1712,1515,934,815,1583,1581,1579,1577,1408,1406,1404,1402,1401,1392,1391,1390,1336,1335,1225,1224,1140,1139,1112,1110,1108,1106,1073,1071,1063,812,667,1585,1358,1241,1233,1232,1231,1094,1061,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1048,1047,1046,893,867,866,838,819,798,762,761,743,742,691,681,680,671,644,643,642,640,639,1572,1389,1248,1247,1240,1239,1238,1237,1236,751,744,1707,915,894,1620,1569,891,890,827,816,803,1660,904,1718,1717,1666,1665,1507,1506,1142,811,1483,1788,1714,1669,1667,1781,1780,1779,1778,1771,1770,1769,1768,1741,1740,1154,1080,887,881,1702,1559,1701,1370,1369,1117,1039,1038,699,772,1682,1592,1514,1549,1393,1648,1646,1524,1522,1243,1234,1745,1528,1516,1324,1322,1721,1709,1744,1654,1548,1659,1658,1657,1656,1655,1653,1652,1651,1650,1649,1624,1623,1622,1621,1571,1570,1547,1545,1544,1543,1542,1541,1540,1539,1537,1535,1534,1533,1040,1492,1491,1452,1447,1446,1445,1435,1434,1433,1429,1427,1426,1425,1423,1420,1419,1417,1416,1415,1414,1412,1411,1409,1095,900,847,846,834,1636,1635,1720,1668,1265,1228,1748,1726,1725,1760,1747,1746,1637,1735,1279,897,896,1680,1679,1678,1677,1676,1675,828,936,1256])).
% 27.09/26.90 cnf(3935,plain,
% 27.09/26.90 (~P6(a1,f21(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4))),f10(a1))),
% 27.09/26.90 inference(scs_inference,[],[1792,1789])).
% 27.09/26.90 cnf(3936,plain,
% 27.09/26.90 (~P6(a1,x39361,x39361)),
% 27.09/26.90 inference(rename_variables,[],[1792])).
% 27.09/26.90 cnf(3940,plain,
% 27.09/26.90 (~P5(a1,f5(a1),f14(a1,f6(a1,a65)))),
% 27.09/26.90 inference(scs_inference,[],[1792,202,3461,2047,1789,1345,1092])).
% 27.09/26.90 cnf(3943,plain,
% 27.09/26.90 (~P6(a1,x39431,x39431)),
% 27.09/26.90 inference(rename_variables,[],[1792])).
% 27.09/26.90 cnf(3946,plain,
% 27.09/26.90 (P5(a1,x39461,x39461)),
% 27.09/26.90 inference(rename_variables,[],[411])).
% 27.09/26.90 cnf(3951,plain,
% 27.09/26.90 (E(f12(a3,x39511,f5(a3)),x39511)),
% 27.09/26.90 inference(rename_variables,[],[426])).
% 27.09/26.90 cnf(3953,plain,
% 27.09/26.90 (~P10(a3,f42(f22(a3),f12(a3,f10(a3),f10(a3))))),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,379,411,424,426,337,202,3461,2047,3633,3696,2499,1789,1345,1092,1082,1060,1710,943,1119])).
% 27.09/26.90 cnf(3954,plain,
% 27.09/26.90 (~P5(a3,f42(f42(f22(a3),f12(a3,f10(a3),f10(a3))),f12(a2,x39541,f10(a2))),f42(f42(f22(a3),f12(a3,f10(a3),f10(a3))),x39541))),
% 27.09/26.90 inference(rename_variables,[],[3696])).
% 27.09/26.90 cnf(3955,plain,
% 27.09/26.90 (P5(a2,f5(a2),x39551)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(3958,plain,
% 27.09/26.90 (P6(a2,x39581,f12(a2,f12(a2,x39582,x39581),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(3971,plain,
% 27.09/26.90 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x39711),f18(a1,f10(a1),f5(f63(a1))))),f19(a1,x39711,x39712)),x39712)),
% 27.09/26.90 inference(rename_variables,[],[3106])).
% 27.09/26.90 cnf(3972,plain,
% 27.09/26.90 (E(f42(f42(f9(a2),x39721),f10(a2)),x39721)),
% 27.09/26.90 inference(rename_variables,[],[408])).
% 27.09/26.90 cnf(3975,plain,
% 27.09/26.90 (P5(a1,f5(a1),f42(f42(f9(a1),x39751),x39751))),
% 27.09/26.90 inference(rename_variables,[],[2681])).
% 27.09/26.90 cnf(3978,plain,
% 27.09/26.90 (P5(a1,f5(a1),f42(f42(f9(a1),x39781),x39781))),
% 27.09/26.90 inference(rename_variables,[],[2681])).
% 27.09/26.90 cnf(3980,plain,
% 27.09/26.90 (P5(a1,f10(a1),f14(a1,f10(a1)))),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,379,408,514,411,3946,424,3955,426,494,420,190,203,337,200,220,202,219,2713,3461,3774,2047,3106,3511,3633,3696,3698,3796,2681,3975,2499,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261])).
% 27.09/26.90 cnf(3981,plain,
% 27.09/26.90 (P5(a1,x39811,x39811)),
% 27.09/26.90 inference(rename_variables,[],[411])).
% 27.09/26.90 cnf(3984,plain,
% 27.09/26.90 (~P6(a1,x39841,x39841)),
% 27.09/26.90 inference(rename_variables,[],[1792])).
% 27.09/26.90 cnf(3988,plain,
% 27.09/26.90 (P6(a1,x39881,f12(a1,x39881,f10(a1)))),
% 27.09/26.90 inference(rename_variables,[],[2679])).
% 27.09/26.90 cnf(3990,plain,
% 27.09/26.90 (P6(a1,f21(a4,f42(f42(f9(a4),x39901),x39901)),f42(f42(f9(a1),f12(a1,f21(a4,x39901),f10(a1))),f12(a1,f21(a4,x39901),f10(a1))))),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,379,408,514,411,3946,195,424,3955,426,494,197,420,190,203,337,200,220,202,219,2713,3461,3774,2047,3106,3511,3633,3696,3698,2679,3988,3796,2681,3975,2499,2697,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674])).
% 27.09/26.90 cnf(3992,plain,
% 27.09/26.90 (P6(a1,x39921,f12(a1,x39921,f10(a1)))),
% 27.09/26.90 inference(rename_variables,[],[2679])).
% 27.09/26.90 cnf(3995,plain,
% 27.09/26.90 (~E(f12(a2,x39951,f12(a2,x39952,f10(a2))),x39952)),
% 27.09/26.90 inference(rename_variables,[],[1851])).
% 27.09/26.90 cnf(3996,plain,
% 27.09/26.90 (~E(f12(a2,f12(a2,x39961,f10(a2)),x39962),x39961)),
% 27.09/26.90 inference(rename_variables,[],[1945])).
% 27.09/26.90 cnf(3998,plain,
% 27.09/26.90 (~E(f42(f42(f22(a2),f12(a2,f12(a2,x39981,f10(a2)),f5(a2))),f12(a2,x39982,f10(a2))),f42(f42(f22(a2),x39981),f12(a2,x39982,f10(a2))))),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,268,379,408,514,411,3946,195,424,3955,453,426,494,197,420,190,203,337,200,220,202,219,2713,1851,1945,3996,3461,3774,2047,3106,3511,3633,3696,3698,2679,3988,3796,2681,3975,2499,2697,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697])).
% 27.09/26.90 cnf(3999,plain,
% 27.09/26.90 (P5(a2,x39991,f12(a2,x39992,x39991))),
% 27.09/26.90 inference(rename_variables,[],[453])).
% 27.09/26.90 cnf(4000,plain,
% 27.09/26.90 (~E(f12(a2,f12(a2,x40001,f10(a2)),x40002),x40001)),
% 27.09/26.90 inference(rename_variables,[],[1945])).
% 27.09/26.90 cnf(4003,plain,
% 27.09/26.90 (P5(a1,x40031,x40031)),
% 27.09/26.90 inference(rename_variables,[],[411])).
% 27.09/26.90 cnf(4006,plain,
% 27.09/26.90 (P5(a1,x40061,x40061)),
% 27.09/26.90 inference(rename_variables,[],[411])).
% 27.09/26.90 cnf(4009,plain,
% 27.09/26.90 (P5(a1,x40091,x40091)),
% 27.09/26.90 inference(rename_variables,[],[411])).
% 27.09/26.90 cnf(4012,plain,
% 27.09/26.90 (P5(a1,f21(a4,x40121),f12(a1,f21(a4,f12(a4,x40121,x40122)),f21(a4,x40122)))),
% 27.09/26.90 inference(rename_variables,[],[514])).
% 27.09/26.90 cnf(4015,plain,
% 27.09/26.90 (P8(a2,x40151,x40151)),
% 27.09/26.90 inference(rename_variables,[],[414])).
% 27.09/26.90 cnf(4016,plain,
% 27.09/26.90 (P5(a2,x40161,f12(a2,x40161,x40162))),
% 27.09/26.90 inference(rename_variables,[],[454])).
% 27.09/26.90 cnf(4026,plain,
% 27.09/26.90 (E(f42(f42(f9(f12(a2,f5(a2),a1)),f10(f12(a2,f5(a2),a1))),x40261),x40261)),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,268,379,408,514,411,3946,3981,4003,4006,414,195,424,3955,453,454,426,494,197,420,190,203,366,337,189,200,220,202,219,233,3187,3177,3152,2713,1935,1851,1945,3996,1955,3461,3774,2047,3106,3511,3633,3198,3696,3698,2679,3988,3796,2681,3975,2499,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745])).
% 27.09/26.90 cnf(4040,plain,
% 27.09/26.90 (~E(x40401,f12(a2,f12(a2,x40401,f10(a2)),x40402))),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,268,379,408,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,494,197,420,190,203,366,337,189,200,220,202,219,233,3187,3177,3152,3130,1920,2713,1935,1851,1945,3996,1955,3461,3774,2047,3106,3511,3633,3198,3696,3698,2679,3988,3796,2681,3975,2499,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918])).
% 27.09/26.90 cnf(4044,plain,
% 27.09/26.90 (E(f12(a3,f11(a3,x40441,x40442),x40442),x40441)),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,268,379,408,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,494,330,197,420,190,203,366,337,189,200,220,202,219,233,3187,3177,3152,3130,1920,2713,2829,1935,1851,1945,3996,1955,3461,3774,2047,3106,3511,3633,3198,3696,3698,2679,3988,3796,2681,3975,2499,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980])).
% 27.09/26.90 cnf(4046,plain,
% 27.09/26.90 (~E(f12(a2,f6(a1,f6(a1,x40461)),f10(a2)),x40461)),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,268,379,408,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,494,330,197,420,190,203,366,337,189,200,220,202,219,233,3187,3177,3152,3130,1920,2713,2829,1935,1851,1945,3996,1955,3461,3774,2047,3106,3511,3633,3198,3696,2098,3698,2679,3988,3796,2681,3975,2499,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769])).
% 27.09/26.90 cnf(4054,plain,
% 27.09/26.90 (~E(f12(a1,x40541,f10(a1)),x40541)),
% 27.09/26.90 inference(rename_variables,[],[2004])).
% 27.09/26.90 cnf(4056,plain,
% 27.09/26.90 (P6(a2,x40561,f11(a2,f12(a2,f12(a2,x40562,f12(a2,x40561,x40563)),f10(a2)),x40563))),
% 27.09/26.90 inference(scs_inference,[],[1792,3936,3943,268,332,379,408,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,494,3958,330,197,420,190,203,366,337,189,200,220,202,219,233,3187,3177,3152,3130,1920,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,2047,3106,3511,3633,3198,3696,2098,3698,2679,3988,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462])).
% 27.09/26.90 cnf(4057,plain,
% 27.09/26.90 (P6(a2,x40571,f12(a2,f12(a2,x40572,x40571),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4068,plain,
% 27.09/26.90 (P6(a2,x40681,f12(a2,f12(a2,x40682,x40681),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4069,plain,
% 27.09/26.90 (P6(a2,x40691,f12(a2,f12(a2,x40691,x40692),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[495])).
% 27.09/26.90 cnf(4072,plain,
% 27.09/26.90 (P6(a2,x40721,f12(a2,f12(a2,x40721,x40722),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[495])).
% 27.09/26.90 cnf(4075,plain,
% 27.09/26.90 (P5(a2,x40751,f42(f42(f9(a2),x40751),x40751))),
% 27.09/26.90 inference(rename_variables,[],[451])).
% 27.09/26.90 cnf(4076,plain,
% 27.09/26.90 (~E(f42(f42(f9(a2),f12(a2,x40761,f10(a2))),f12(a2,f10(a2),f10(a2))),f12(a2,x40761,f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[3236])).
% 27.09/26.90 cnf(4079,plain,
% 27.09/26.90 (~P6(a2,x40791,x40791)),
% 27.09/26.90 inference(rename_variables,[],[538])).
% 27.09/26.90 cnf(4083,plain,
% 27.09/26.90 (P8(a3,x40831,f42(f42(f22(a3),x40831),f12(a2,f12(a2,x40832,f5(a2)),f10(a2))))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,268,332,348,379,380,408,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,494,3958,4057,4068,495,4069,451,330,197,420,190,203,366,337,374,189,200,220,202,432,219,233,3187,3177,3152,3130,3810,3243,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,1899,2047,3106,3511,2302,3633,3198,3696,2098,3698,2679,3988,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214])).
% 27.09/26.90 cnf(4086,plain,
% 27.09/26.90 (~E(f12(a2,x40861,f10(a2)),x40861)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(4087,plain,
% 27.09/26.90 (P6(a2,x40871,f12(a2,f12(a2,x40872,x40871),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4090,plain,
% 27.09/26.90 (~E(f12(a2,x40901,f10(a2)),x40901)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(4091,plain,
% 27.09/26.90 (P6(a2,x40911,f12(a2,f12(a2,x40912,x40911),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4093,plain,
% 27.09/26.90 (P8(a2,f42(f42(f9(a2),f12(a2,f12(a2,x40931,f5(a2)),f10(a2))),f42(f42(f9(a2),f10(a2)),f10(a2))),f12(a2,f12(a2,x40931,f5(a2)),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,268,332,348,379,380,408,3972,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,543,4086,494,3958,4057,4068,4087,4091,495,4069,451,330,197,420,190,203,366,337,374,189,200,220,202,432,219,233,3187,3177,3152,3130,3810,3243,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,1899,2047,3106,3511,2302,3633,3198,3696,2098,3698,2679,3988,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161])).
% 27.09/26.90 cnf(4094,plain,
% 27.09/26.90 (E(f42(f42(f9(a2),x40941),f10(a2)),x40941)),
% 27.09/26.90 inference(rename_variables,[],[408])).
% 27.09/26.90 cnf(4095,plain,
% 27.09/26.90 (P6(a2,x40951,f12(a2,f12(a2,x40952,x40951),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4105,plain,
% 27.09/26.90 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x41051),f18(a1,f10(a1),f5(f63(a1))))),f19(a1,x41051,x41052)),f6(f63(a1),x41052))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,268,332,348,379,380,408,3972,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,543,4086,494,3958,4057,4068,4087,4091,495,4069,451,330,197,420,190,203,366,337,374,189,200,220,434,202,432,219,233,3187,3177,3152,3130,3810,3243,1949,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,1899,2047,3106,3971,3511,2302,3633,3198,3696,2098,3698,2679,3988,2366,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999])).
% 27.09/26.90 cnf(4107,plain,
% 27.09/26.90 (P8(a4,x41071,f42(f42(f9(a2),f42(f42(f9(a4),x41071),x41072)),f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,268,332,348,379,380,394,408,3972,4094,514,411,3946,3981,4003,4006,414,538,195,424,3955,453,454,4016,556,557,426,543,4086,494,3958,4057,4068,4087,4091,495,4069,451,330,197,420,190,203,366,337,374,189,200,220,434,202,432,219,233,3187,3177,3152,3130,3810,3243,1949,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,1899,2047,3106,3971,3511,2302,3633,3198,3696,2098,3698,2679,3988,2366,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937])).
% 27.09/26.90 cnf(4127,plain,
% 27.09/26.90 (P6(a2,x41271,f12(a2,f12(a2,x41272,x41271),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4130,plain,
% 27.09/26.90 (~E(f12(a2,x41301,f10(a2)),x41301)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(4132,plain,
% 27.09/26.90 (E(f12(a2,f56(f12(a2,x41321,f12(a2,x41322,f10(a2))),f12(a2,x41322,f10(a2))),f10(a2)),f12(a2,x41322,f10(a2)))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,225,268,286,332,348,379,380,394,528,431,408,3972,4094,514,411,3946,3981,4003,4006,414,538,195,240,424,3955,453,454,4016,556,557,426,543,4086,4090,494,3958,4057,4068,4087,4091,4095,4127,495,4069,451,549,330,197,420,190,203,366,381,370,337,374,189,200,220,434,202,432,219,233,345,3187,3177,3152,3130,3810,3243,1949,3263,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,3106,3971,3511,2302,3633,3198,3253,3696,2098,3698,2679,3988,2366,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372])).
% 27.09/26.90 cnf(4133,plain,
% 27.09/26.90 (P6(a2,x41331,f12(a2,f12(a2,x41332,x41331),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4137,plain,
% 27.09/26.90 (~P5(a3,f6(a3,f6(a3,f10(a3))),f6(a3,f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,225,268,286,332,348,379,380,394,528,431,408,3972,4094,514,411,3946,3981,4003,4006,414,538,195,240,424,3955,453,454,4016,556,557,426,543,4086,4090,494,3958,4057,4068,4087,4091,4095,4127,495,4069,451,549,330,197,420,190,203,366,381,318,370,337,374,189,200,220,434,202,432,219,233,345,3187,3177,3152,3130,3810,3243,1949,3263,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3633,3198,3253,3696,2098,3698,2679,3988,2366,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067])).
% 27.09/26.90 cnf(4163,plain,
% 27.09/26.90 (P5(a2,x41631,f12(a2,x41632,x41631))),
% 27.09/26.90 inference(rename_variables,[],[453])).
% 27.09/26.90 cnf(4164,plain,
% 27.09/26.90 (P5(a2,f5(a2),x41641)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4168,plain,
% 27.09/26.90 (E(f11(a2,f42(f42(f9(a3),f10(a3)),f12(a2,x41681,f5(a2))),f5(a2)),x41681)),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,206,225,268,286,332,348,350,379,380,394,528,469,504,431,408,3972,4094,409,417,514,4012,525,411,3946,3981,4003,4006,4009,414,538,195,226,240,424,3955,4164,465,536,453,3999,454,4016,556,557,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,451,549,330,347,197,329,420,190,203,366,381,318,370,337,374,189,200,220,434,202,334,432,219,233,345,3187,3185,3177,3152,3130,3810,3243,1949,3263,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3633,3198,3253,3696,2098,3698,2679,3988,2366,2376,3796,2681,3975,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127])).
% 27.09/26.90 cnf(4169,plain,
% 27.09/26.90 (E(f42(f42(f9(a3),f10(a3)),x41691),x41691)),
% 27.09/26.90 inference(rename_variables,[],[417])).
% 27.09/26.90 cnf(4170,plain,
% 27.09/26.90 (P5(a2,f5(a2),x41701)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4173,plain,
% 27.09/26.90 (E(f11(a2,f11(a2,x41731,x41732),x41733),f11(a2,x41731,f12(a2,x41732,x41733)))),
% 27.09/26.90 inference(rename_variables,[],[477])).
% 27.09/26.90 cnf(4174,plain,
% 27.09/26.90 (P5(a2,f5(a2),x41741)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4179,plain,
% 27.09/26.90 (P6(a1,x41791,f6(a1,f6(a1,f12(a1,f6(a1,f6(a1,x41791)),f10(a1)))))),
% 27.09/26.90 inference(rename_variables,[],[3471])).
% 27.09/26.90 cnf(4189,plain,
% 27.09/26.90 (E(f21(a4,f13(a4,f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67)))),f5(a1))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,206,225,248,268,286,332,348,350,379,380,394,528,469,504,431,408,3972,4094,409,477,417,514,4012,525,411,3946,3981,4003,4006,4009,414,538,195,226,240,424,3955,4164,4170,465,536,453,3999,454,4016,556,557,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,451,549,330,347,197,329,420,190,203,366,381,318,370,558,337,374,189,200,220,434,202,334,432,219,233,345,3187,3185,3177,3152,3130,3810,3243,1949,3263,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3633,3198,3253,3696,2098,3698,2679,3988,3465,3471,2366,2376,3796,2681,3975,1937,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691])).
% 27.09/26.90 cnf(4205,plain,
% 27.09/26.90 (P8(a3,f42(f42(f9(a3),x42051),f11(a2,f12(a2,f5(a3),x42052),x42052)),f42(f42(f9(a3),x42053),f11(a2,f12(a2,f5(a3),x42052),x42052)))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,206,225,248,268,286,332,338,348,350,379,380,394,528,469,504,431,408,3972,4094,409,477,417,4169,514,4012,525,411,3946,3981,4003,4006,4009,414,538,195,226,240,424,3955,4164,4170,4174,465,536,453,3999,454,4016,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,451,549,330,347,197,329,420,190,203,366,381,318,370,558,234,337,374,199,189,200,220,434,202,317,334,432,219,233,345,3187,3185,3184,3177,3152,3130,3810,3243,1949,3263,1920,2083,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3633,3198,3253,3696,2098,3698,2679,3988,3465,3471,2366,2376,3796,3853,2681,3975,1937,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247])).
% 27.09/26.90 cnf(4217,plain,
% 27.09/26.90 (E(f12(a3,f12(a3,x42171,x42172),f12(a3,f6(a3,x42171),f6(a3,x42172))),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,3984,206,225,248,268,286,332,338,348,350,379,380,394,528,469,504,505,431,408,3972,4094,409,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,414,538,195,226,240,424,3955,4164,4170,4174,465,536,453,3999,454,4016,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,451,549,330,347,197,329,420,190,203,366,381,318,370,558,234,337,374,199,189,200,220,434,202,317,334,432,219,233,345,3187,3185,3184,3177,3152,3130,3810,3243,1949,3263,1920,2083,3573,3236,2713,2829,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3633,3855,3198,3253,3696,2098,3698,2679,3988,3465,3471,2366,2376,3796,3853,2681,3975,1937,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795])).
% 27.09/26.90 cnf(4230,plain,
% 27.09/26.90 (P6(a2,f11(a2,x42301,x42302),f12(a2,x42301,f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[471])).
% 27.09/26.90 cnf(4233,plain,
% 27.09/26.90 (~P6(a2,x42331,x42331)),
% 27.09/26.90 inference(rename_variables,[],[538])).
% 27.09/26.90 cnf(4238,plain,
% 27.09/26.90 (~E(f12(a2,f42(f42(f9(a2),x42381),x42382),f10(a2)),f12(a2,f42(f42(f9(a2),f5(a2)),x42382),f5(a2)))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,3984,206,225,248,268,286,332,338,348,350,379,380,394,528,469,504,505,431,408,3972,4094,409,473,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,414,538,4079,195,226,240,424,3955,4164,4170,4174,465,536,453,3999,454,4016,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,471,451,549,193,330,347,197,329,420,190,203,366,381,318,370,558,234,337,374,199,189,200,220,434,202,317,334,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,3263,1920,2083,3573,3236,2713,2829,1856,1935,1851,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3633,3855,3198,3253,3696,2098,3698,2679,3988,3465,3471,2366,2376,3796,3853,2681,3975,1937,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733])).
% 27.09/26.90 cnf(4239,plain,
% 27.09/26.90 (~E(f12(a2,x42391,f10(a2)),f5(a2))),
% 27.09/26.90 inference(rename_variables,[],[549])).
% 27.09/26.90 cnf(4242,plain,
% 27.09/26.90 (~E(f42(f42(f9(a2),f12(a2,x42421,f10(a2))),f12(a2,f10(a2),f10(a2))),f12(a2,x42421,f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[3236])).
% 27.09/26.90 cnf(4259,plain,
% 27.09/26.90 (E(f12(a3,x42591,f12(a3,x42592,x42593)),f12(a3,x42592,f12(a3,x42591,x42593)))),
% 27.09/26.90 inference(rename_variables,[],[474])).
% 27.09/26.90 cnf(4266,plain,
% 27.09/26.90 (~P5(a3,f42(f42(f9(a3),f10(a3)),f10(a3)),f5(a3))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,3984,206,225,248,268,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,414,538,4079,195,226,240,341,424,3955,4164,4170,4174,465,536,453,3999,454,4016,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,471,451,549,193,330,347,197,329,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,3263,1920,3822,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3485,3843,3633,3855,3198,3253,3696,2098,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3431,1937,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028])).
% 27.09/26.90 cnf(4268,plain,
% 27.09/26.90 (E(x42681,f12(a2,f42(f42(f9(a2),f11(a2,x42682,x42682)),x42683),x42681))),
% 27.09/26.90 inference(scs_inference,[],[1791,1792,3936,3943,3984,206,225,248,268,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,414,538,4079,195,226,240,341,424,3955,4164,4170,4174,465,536,453,3999,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,471,451,549,193,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,3263,1920,3822,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3485,3843,3633,3855,3198,3253,3696,2098,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3431,1937,2499,3247,2697,2711,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887])).
% 27.09/26.90 cnf(4269,plain,
% 27.09/26.90 (~P6(a2,f12(a2,x42691,x42692),x42692)),
% 27.09/26.90 inference(rename_variables,[],[555])).
% 27.09/26.90 cnf(4272,plain,
% 27.09/26.90 (~P6(a1,f12(a1,f42(f42(f9(a1),x42721),x42721),f42(f42(f9(a1),x42722),x42722)),f5(a1))),
% 27.09/26.90 inference(rename_variables,[],[2908])).
% 27.09/26.90 cnf(4275,plain,
% 27.09/26.90 (P5(a3,x42751,x42751)),
% 27.09/26.90 inference(rename_variables,[],[413])).
% 27.09/26.90 cnf(4284,plain,
% 27.09/26.90 (P6(a2,x42841,f12(a2,f12(a2,x42841,x42842),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[495])).
% 27.09/26.90 cnf(4285,plain,
% 27.09/26.90 (P6(a2,x42851,f12(a2,f12(a2,x42852,x42851),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4299,plain,
% 27.09/26.90 (P8(f12(a2,f5(a2),a1),f42(f42(f9(a3),f5(f12(a2,f5(a2),a1))),f10(a3)),f42(f42(f9(a3),f5(f12(a2,f5(a2),a1))),f10(a3)))),
% 27.09/26.90 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,248,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,414,538,4079,195,226,240,341,424,3955,4164,4170,4174,465,536,453,3999,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,4072,471,451,549,193,224,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3485,3843,3633,3855,3198,3253,3696,2098,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3851,3431,2908,3396,1937,2499,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570])).
% 27.09/26.90 cnf(4305,plain,
% 27.09/26.90 (~P6(a3,f5(a3),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))))),
% 27.09/26.90 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,248,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,414,538,4079,195,226,240,341,424,3955,4164,4170,4174,465,536,453,3999,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,4072,471,451,549,193,213,224,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,3485,3843,3633,3855,3198,3253,3696,2098,3748,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3851,3431,2908,3396,1937,2499,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543])).
% 27.09/26.90 cnf(4312,plain,
% 27.09/26.90 (P5(a3,x43121,x43121)),
% 27.09/26.90 inference(rename_variables,[],[413])).
% 27.09/26.90 cnf(4315,plain,
% 27.09/26.90 (P5(a3,x43151,x43151)),
% 27.09/26.90 inference(rename_variables,[],[413])).
% 27.09/26.90 cnf(4318,plain,
% 27.09/26.90 (P5(a2,x43181,f12(a2,x43182,x43181))),
% 27.09/26.90 inference(rename_variables,[],[453])).
% 27.09/26.90 cnf(4319,plain,
% 27.09/26.90 (P5(a2,f5(a2),x43191)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4322,plain,
% 27.09/26.90 (P5(a2,x43221,f12(a2,x43222,x43221))),
% 27.09/26.90 inference(rename_variables,[],[453])).
% 27.09/26.90 cnf(4323,plain,
% 27.09/26.90 (P5(a2,f5(a2),x43231)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4325,plain,
% 27.09/26.90 (P5(a3,f5(a3),f42(f42(f9(a3),f42(f42(f9(a3),f5(a3)),f5(a3))),f42(f42(f9(a3),f5(a3)),f5(a3))))),
% 27.09/26.90 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,248,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,226,240,341,424,3955,4164,4170,4174,4319,465,536,453,3999,4163,4318,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,4072,471,451,549,193,209,213,224,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,3855,3198,3253,3696,2098,3748,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3851,3431,2908,3396,1937,2499,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417])).
% 27.09/26.90 cnf(4338,plain,
% 27.09/26.90 (E(f11(a2,f12(a2,x43381,x43382),x43382),x43381)),
% 27.09/26.90 inference(rename_variables,[],[456])).
% 27.09/26.90 cnf(4346,plain,
% 27.09/26.90 (~E(f42(f42(f22(a2),x43461),f11(a2,f5(a2),x43462)),f5(a2))),
% 27.09/26.90 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,341,424,3955,4164,4170,4174,4319,465,536,453,3999,4163,4318,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,495,4069,4072,471,451,549,193,209,213,224,246,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,212,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,3855,3198,3253,3696,2098,3748,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,3851,3431,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897])).
% 27.09/26.90 cnf(4349,plain,
% 27.09/26.90 (P5(a2,x43491,f12(a2,x43492,x43491))),
% 27.09/26.90 inference(rename_variables,[],[453])).
% 27.09/26.90 cnf(4350,plain,
% 27.09/26.90 (P5(a2,f5(a2),x43501)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4353,plain,
% 27.09/26.90 (P5(a2,f5(a2),x43531)),
% 27.09/26.90 inference(rename_variables,[],[424])).
% 27.09/26.90 cnf(4355,plain,
% 27.09/26.90 (P6(a2,x43551,f12(a2,f12(a2,x43552,x43551),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4356,plain,
% 27.09/26.90 (P6(a2,x43561,f12(a2,f12(a2,x43562,x43561),f10(a2)))),
% 27.09/26.90 inference(rename_variables,[],[494])).
% 27.09/26.90 cnf(4359,plain,
% 27.09/26.90 (~E(f12(a2,x43591,f10(a2)),x43591)),
% 27.09/26.90 inference(rename_variables,[],[543])).
% 27.09/26.90 cnf(4363,plain,
% 27.09/26.90 (P5(a1,f42(f42(f9(a1),a65),f5(a1)),f42(f42(f9(a1),a65),a65))),
% 27.09/26.90 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,465,536,453,3999,4163,4318,4322,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,495,4069,4072,471,451,549,193,209,213,214,224,228,246,251,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,212,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,3855,3198,3253,3696,2098,3748,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,3851,3431,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848])).
% 27.09/26.90 cnf(4367,plain,
% 27.09/26.90 (~P6(a1,f8(a4,a64),f8(a4,a30))),
% 27.09/26.90 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,465,536,453,3999,4163,4318,4322,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,495,4069,4072,471,451,549,193,209,213,214,224,228,246,251,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,212,220,434,202,317,334,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,3855,3198,3253,3696,2098,3748,2126,3698,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,3851,3431,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778])).
% 27.09/26.91 cnf(4379,plain,
% 27.09/26.91 (P5(a3,f11(a3,f12(a3,x43791,f10(a3)),f10(a3)),x43791)),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,465,536,453,3999,4163,4318,4322,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,495,4069,4072,471,451,549,193,209,213,214,224,228,246,251,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,212,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,3855,3226,3198,3253,3696,2098,3748,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,3851,3431,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301])).
% 27.09/26.91 cnf(4380,plain,
% 27.09/26.91 (P6(a3,f11(a3,x43801,f10(a3)),x43801)),
% 27.09/26.91 inference(rename_variables,[],[1818])).
% 27.09/26.91 cnf(4384,plain,
% 27.09/26.91 (P6(a2,x43841,f12(a2,x43842,f12(a2,f12(a2,x43843,x43841),f10(a2))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,465,536,453,3999,4163,4318,4322,454,4016,555,556,557,456,426,543,4086,4090,4130,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,495,4069,4072,471,451,549,193,209,213,214,224,228,246,251,330,347,197,329,375,420,190,203,366,381,211,318,370,558,234,337,374,199,189,200,212,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,1935,1851,3995,1945,3996,1955,3461,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,3855,3226,3198,3253,3696,2098,3748,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,3851,3431,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170])).
% 27.09/26.91 cnf(4398,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x43981,f10(a2)),x43982),x43981)),
% 27.09/26.91 inference(rename_variables,[],[1945])).
% 27.09/26.91 cnf(4403,plain,
% 27.09/26.91 (~E(f12(a2,x44031,f10(a2)),x44031)),
% 27.09/26.91 inference(rename_variables,[],[543])).
% 27.09/26.91 cnf(4411,plain,
% 27.09/26.91 (~P6(a1,f5(a1),f21(a4,a72))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,465,536,453,3999,4163,4318,4322,454,4016,555,4269,556,557,456,4338,426,543,4086,4090,4130,4359,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,495,4069,4072,471,4230,451,549,193,209,213,214,224,228,246,251,330,347,320,197,329,375,335,420,190,203,366,381,211,318,370,558,234,337,374,367,199,189,200,212,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,3412,1935,1851,3995,1945,3996,4000,1955,3461,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,3855,3226,3198,3253,3696,2098,3748,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231])).
% 27.09/26.91 cnf(4414,plain,
% 27.09/26.91 (E(f42(f42(f9(a3),f10(a3)),x44141),x44141)),
% 27.09/26.91 inference(rename_variables,[],[417])).
% 27.09/26.91 cnf(4421,plain,
% 27.09/26.91 (E(x44211,f12(a2,f5(a2),x44211))),
% 27.09/26.91 inference(rename_variables,[],[1962])).
% 27.09/26.91 cnf(4427,plain,
% 27.09/26.91 (~P5(a2,f12(a2,f42(f42(f9(a2),x44271),x44272),f10(a2)),f12(a2,f42(f42(f9(a2),f5(a2)),x44272),f42(f42(f9(a2),f11(a2,x44271,f5(a2))),x44272)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,465,536,453,3999,4163,4318,4322,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,495,4069,4072,471,4230,451,549,193,209,213,214,224,228,246,251,274,330,347,320,197,329,375,335,420,190,203,366,381,211,318,370,558,234,337,374,367,199,189,200,212,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,3412,1935,1851,3995,1945,3996,4000,1955,3461,1962,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,3855,3226,3198,3253,3696,2098,3748,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767])).
% 27.09/26.91 cnf(4428,plain,
% 27.09/26.91 (~P5(a2,f12(a2,x44281,f10(a2)),x44281)),
% 27.09/26.91 inference(rename_variables,[],[557])).
% 27.09/26.91 cnf(4432,plain,
% 27.09/26.91 (~P6(a1,f12(a1,f42(f42(f9(a1),x44321),x44322),f12(a1,f42(f42(f9(a1),f11(a1,x44323,x44321)),x44322),f5(a1))),f12(a1,f42(f42(f9(a1),x44323),x44322),f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,465,536,453,3999,4163,4318,4322,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,495,4069,4072,471,4230,451,549,193,209,213,214,224,228,246,251,274,330,347,320,197,329,375,335,420,190,203,366,381,211,318,370,558,234,337,374,367,199,189,200,212,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,3412,1935,1851,3995,1945,3996,4000,1955,3461,1962,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,3855,3226,3198,3253,3696,2098,3748,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2681,3975,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768])).
% 27.09/26.91 cnf(4435,plain,
% 27.09/26.91 (~P6(a2,x44351,f11(a2,x44352,x44352))),
% 27.09/26.91 inference(rename_variables,[],[1800])).
% 27.09/26.91 cnf(4436,plain,
% 27.09/26.91 (P5(a2,f5(a2),x44361)),
% 27.09/26.91 inference(rename_variables,[],[424])).
% 27.09/26.91 cnf(4439,plain,
% 27.09/26.91 (~P6(a2,f12(a2,x44391,x44392),x44392)),
% 27.09/26.91 inference(rename_variables,[],[555])).
% 27.09/26.91 cnf(4442,plain,
% 27.09/26.91 (P6(a2,x44421,f12(a2,f12(a2,x44422,x44421),f10(a2)))),
% 27.09/26.91 inference(rename_variables,[],[494])).
% 27.09/26.91 cnf(4447,plain,
% 27.09/26.91 (~E(f12(a2,x44471,f10(a2)),x44471)),
% 27.09/26.91 inference(rename_variables,[],[543])).
% 27.09/26.91 cnf(4455,plain,
% 27.09/26.91 (P5(a2,x44551,f12(a2,x44552,x44551))),
% 27.09/26.91 inference(rename_variables,[],[453])).
% 27.09/26.91 cnf(4456,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x44561,f10(a2)),x44562),x44561)),
% 27.09/26.91 inference(rename_variables,[],[1945])).
% 27.09/26.91 cnf(4459,plain,
% 27.09/26.91 (P5(a2,f5(a2),x44591)),
% 27.09/26.91 inference(rename_variables,[],[424])).
% 27.09/26.91 cnf(4460,plain,
% 27.09/26.91 (P5(a2,f5(a2),x44601)),
% 27.09/26.91 inference(rename_variables,[],[424])).
% 27.09/26.91 cnf(4464,plain,
% 27.09/26.91 (~P5(a3,f10(a3),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,549,193,209,213,214,224,228,246,251,274,330,347,320,197,325,329,375,335,420,190,203,282,366,381,211,318,370,558,234,283,337,374,367,199,227,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,3461,1962,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,3855,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2671,2681,3975,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935])).
% 27.09/26.91 cnf(4468,plain,
% 27.09/26.91 (P6(a2,x44681,f12(a2,f42(f42(f9(a2),x44681),x44681),f10(a2)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,4075,549,193,209,213,214,224,228,246,251,274,330,347,320,197,325,329,375,335,420,190,203,282,366,381,211,318,370,558,234,283,337,374,367,199,227,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,3461,1962,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,1994,3855,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2671,2681,3975,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192])).
% 27.09/26.91 cnf(4479,plain,
% 27.09/26.91 (~P6(a2,f11(a2,f12(a2,x44791,x44792),x44792),x44791)),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,4075,549,193,209,213,214,224,228,246,251,274,330,347,320,197,325,329,375,335,420,190,203,282,366,381,211,318,370,558,234,283,337,374,367,199,227,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,3461,1962,2004,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,1994,3855,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2671,2681,3975,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374])).
% 27.09/26.91 cnf(4484,plain,
% 27.09/26.91 (~P5(a1,f42(f42(f9(a1),f10(a1)),f10(a1)),f5(a1))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,4075,549,193,209,213,214,224,228,246,251,274,330,347,320,197,325,329,375,335,420,190,203,282,366,381,211,318,370,558,234,283,337,374,367,199,227,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,3461,1962,2004,3841,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3485,3843,3633,2176,1994,3855,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,3435,2366,2376,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982])).
% 27.09/26.91 cnf(4485,plain,
% 27.09/26.91 (P5(a1,f5(a1),f42(f42(f9(a1),x44851),x44851))),
% 27.09/26.91 inference(rename_variables,[],[2681])).
% 27.09/26.91 cnf(4496,plain,
% 27.09/26.91 (P5(a2,f5(a2),x44961)),
% 27.09/26.91 inference(rename_variables,[],[424])).
% 27.09/26.91 cnf(4499,plain,
% 27.09/26.91 (P6(a2,x44991,f12(a2,f12(a2,x44992,x44991),f10(a2)))),
% 27.09/26.91 inference(rename_variables,[],[494])).
% 27.09/26.91 cnf(4501,plain,
% 27.09/26.91 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x45011),f18(a1,f10(a1),f5(f63(a1))))),f19(a1,x45011,f42(f42(f22(f63(a1)),f18(a1,f6(a1,x45012),f18(a1,f10(a1),f5(f63(a1))))),f5(a2)))),x45013)),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,414,538,4079,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,4075,549,193,209,213,214,224,228,246,251,274,330,347,320,197,325,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,3461,1962,2004,3841,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3688,3485,3843,3633,2176,1994,3855,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,3435,2366,2370,2376,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154])).
% 27.09/26.91 cnf(4513,plain,
% 27.09/26.91 (~P6(a1,f6(a1,f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1)))),f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,4428,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,4075,549,193,209,213,214,224,228,246,251,274,330,347,320,197,284,325,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,1916,3461,1962,2004,3841,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3688,3485,3843,3633,2176,1994,3855,3214,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,3435,2366,2370,2376,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254])).
% 27.09/26.91 cnf(4520,plain,
% 27.09/26.91 (~P6(a2,x45201,x45201)),
% 27.09/26.91 inference(rename_variables,[],[538])).
% 27.09/26.91 cnf(4524,plain,
% 27.09/26.91 (~P5(a3,f42(f42(f9(a3),f10(a3)),f10(a3)),f42(f42(f9(a3),f10(a3)),f5(a3)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,4428,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,495,4069,4072,471,4230,451,4075,549,193,209,213,214,224,228,246,251,274,330,347,320,197,284,325,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,1916,3461,1962,2004,3841,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3688,3485,2340,3843,3633,2176,1994,3855,3214,3226,3198,3253,3696,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,3435,2366,2370,2376,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658])).
% 27.09/26.91 cnf(4536,plain,
% 27.09/26.91 (~P5(a2,f42(f42(f9(a2),f12(a2,x45361,f10(a2))),f12(a2,x45361,f10(a2))),x45361)),
% 27.09/26.91 inference(rename_variables,[],[3196])).
% 27.09/26.91 cnf(4541,plain,
% 27.09/26.91 (~E(f12(a2,x45411,x45412),f12(a2,x45412,f12(a2,f12(a2,x45413,x45411),f10(a2))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,454,4016,555,4269,556,557,4428,456,4338,457,426,543,4086,4090,4130,4359,4403,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,320,197,284,325,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,1916,3461,1962,2004,3841,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3688,3485,2340,3843,3633,2176,1994,3855,3214,3226,3198,3253,3696,3196,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,2123,3435,2366,2370,2376,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289])).
% 27.09/26.91 cnf(4551,plain,
% 27.09/26.91 (~E(f42(f42(f9(a2),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))),x45511),f12(a2,f5(a2),f10(a2)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,454,4016,455,555,4269,556,557,4428,456,4338,457,426,543,4086,4090,4130,4359,4403,4447,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,320,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,1916,3461,1962,2004,3841,3774,3351,3830,1899,2047,2251,3106,3971,3511,2302,2663,3688,3485,2340,3843,3633,2176,1994,3855,3214,3226,3198,3253,3696,3196,2098,3748,1800,2129,2126,3698,1892,2137,2118,1818,2679,3988,3465,3467,3471,2123,3435,2366,2370,2376,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3611,2908,3396,1937,2499,3459,3278,3247,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130])).
% 27.09/26.91 cnf(4552,plain,
% 27.09/26.91 (~E(f12(a2,x45521,f10(a2)),x45521)),
% 27.09/26.91 inference(rename_variables,[],[543])).
% 27.09/26.91 cnf(4567,plain,
% 27.09/26.91 (P5(a2,x45671,f12(a2,x45672,x45671))),
% 27.09/26.91 inference(rename_variables,[],[453])).
% 27.09/26.91 cnf(4573,plain,
% 27.09/26.91 (E(f12(a2,x45731,x45732),f12(a2,x45732,x45731))),
% 27.09/26.91 inference(rename_variables,[],[442])).
% 27.09/26.91 cnf(4575,plain,
% 27.09/26.91 (E(f12(a3,x45751,f5(a3)),x45751)),
% 27.09/26.91 inference(rename_variables,[],[426])).
% 27.09/26.91 cnf(4576,plain,
% 27.09/26.91 (P10(a2,f12(a2,f5(a2),f42(f9(a2),f5(a2))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,557,4428,456,4338,457,426,3951,543,4086,4090,4130,4359,4403,4447,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,320,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,1916,3461,1962,4421,2004,3841,3774,2109,3351,3830,1899,2047,2251,3106,3971,3511,2302,3375,2663,3688,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,3198,3253,3696,3196,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3611,2908,3396,1937,2499,3459,3278,3247,3161,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138])).
% 27.09/26.91 cnf(4579,plain,
% 27.09/26.91 (~P8(a3,f12(a3,f10(a3),f10(a3)),f12(a3,f10(a3),f5(a3)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,557,4428,456,4338,457,426,3951,4575,543,4086,4090,4130,4359,4403,4447,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,320,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,1955,1916,3461,1962,4421,2004,2090,3841,3774,2109,3351,3830,1899,2047,2251,3106,3971,3511,2302,3375,2663,3688,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,3198,3253,3696,3196,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3611,2908,3396,1937,2499,3459,3278,3247,3161,2697,2711,3896,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112])).
% 27.09/26.91 cnf(4581,plain,
% 27.09/26.91 (E(f12(a2,x45811,x45812),f12(a2,x45812,x45811))),
% 27.09/26.91 inference(rename_variables,[],[442])).
% 27.09/26.91 cnf(4591,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x45911,x45912),f10(a2)),x45912)),
% 27.09/26.91 inference(rename_variables,[],[1864])).
% 27.09/26.91 cnf(4592,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x45921,x45922),f10(a2)),x45921)),
% 27.09/26.91 inference(rename_variables,[],[1947])).
% 27.09/26.91 cnf(4597,plain,
% 27.09/26.91 (E(f11(a2,x45971,f5(a2)),x45971)),
% 27.09/26.91 inference(rename_variables,[],[427])).
% 27.09/26.91 cnf(4598,plain,
% 27.09/26.91 (P6(a2,x45981,f12(a2,f12(a2,x45982,x45981),f10(a2)))),
% 27.09/26.91 inference(rename_variables,[],[494])).
% 27.09/26.91 cnf(4601,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x46011,f10(a2)),x46012),x46011)),
% 27.09/26.91 inference(rename_variables,[],[1945])).
% 27.09/26.91 cnf(4604,plain,
% 27.09/26.91 (~E(f12(a2,x46041,f10(a2)),x46041)),
% 27.09/26.91 inference(rename_variables,[],[543])).
% 27.09/26.91 cnf(4615,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x46151,x46152),f10(a2)),x46152)),
% 27.09/26.91 inference(rename_variables,[],[1864])).
% 27.09/26.91 cnf(4616,plain,
% 27.09/26.91 (~E(f12(a2,f12(a2,x46161,x46162),f10(a2)),x46161)),
% 27.09/26.91 inference(rename_variables,[],[1947])).
% 27.09/26.91 cnf(4631,plain,
% 27.09/26.91 (P6(a3,f12(a3,f5(a3),f5(a3)),f12(a3,f10(a3),f10(a3)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,543,4086,4090,4130,4359,4403,4447,4552,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511])).
% 27.09/26.91 cnf(4641,plain,
% 27.09/26.91 (P6(a2,f12(a2,f5(a2),f10(a2)),f42(f42(f9(a2),f12(a2,f12(a2,f12(a2,f5(a2),f10(a2)),x46411),f10(a2))),f12(a2,f12(a2,f12(a2,f5(a2),f10(a2)),x46411),f10(a2))))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,543,4086,4090,4130,4359,4403,4447,4552,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,4284,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706])).
% 27.09/26.91 cnf(4642,plain,
% 27.09/26.91 (P6(a2,x46421,f12(a2,f12(a2,x46421,x46422),f10(a2)))),
% 27.09/26.91 inference(rename_variables,[],[495])).
% 27.09/26.91 cnf(4649,plain,
% 27.09/26.91 (~P6(a2,x46491,f5(a2))),
% 27.09/26.91 inference(rename_variables,[],[541])).
% 27.09/26.91 cnf(4652,plain,
% 27.09/26.91 (~E(f12(a2,x46521,f10(a2)),x46521)),
% 27.09/26.91 inference(rename_variables,[],[543])).
% 27.09/26.91 cnf(4655,plain,
% 27.09/26.91 (~E(f12(a2,x46551,f10(a2)),x46551)),
% 27.09/26.91 inference(rename_variables,[],[543])).
% 27.09/26.91 cnf(4657,plain,
% 27.09/26.91 (P8(a3,f12(a3,f10(a3),f5(a3)),f42(f42(f22(a3),f12(a3,f10(a3),f5(a3))),x46571))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,4284,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995])).
% 27.09/26.91 cnf(4661,plain,
% 27.09/26.91 (~E(f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2)))),f5(f63(a4)))),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,4284,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662])).
% 27.09/26.91 cnf(4668,plain,
% 27.09/26.91 (~P6(a1,x46681,x46681)),
% 27.09/26.91 inference(rename_variables,[],[1792])).
% 27.09/26.91 cnf(4677,plain,
% 27.09/26.91 (P5(a1,f21(a4,x46771),f12(a1,f21(a4,f12(a4,x46771,x46772)),f21(a4,x46772)))),
% 27.09/26.91 inference(rename_variables,[],[514])).
% 27.09/26.91 cnf(4685,plain,
% 27.09/26.91 (~E(f6(a3,f12(a2,f42(f42(f9(a2),f11(a2,x46851,x46851)),x46852),f12(a2,f12(a2,f42(f42(f9(a2),x46851),x46852),f6(a3,x46853)),f10(a2)))),x46853)),
% 27.09/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,280,286,299,302,327,332,338,348,350,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,495,4069,4072,4284,471,4230,451,4075,549,368,193,209,213,214,224,228,246,251,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,234,283,337,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,2141,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667])).
% 27.09/26.91 cnf(4722,plain,
% 27.09/26.91 (~E(x47221,f12(a2,f6(a1,f12(a2,f6(a1,f11(a2,x47221,x47221)),f10(a2))),x47221))),
% 27.09/26.91 inference(rename_variables,[],[2025])).
% 27.09/26.91 cnf(4734,plain,
% 27.09/26.91 (~P5(f12(a2,f5(a2),a1),f12(f12(a2,f5(a2),a1),f42(f42(f9(f12(a2,f5(a2),a1)),x47341),x47341),f42(f42(f9(f12(a2,f5(a2),a1)),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2))),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2)))),f5(f12(a2,f5(a2),a1)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717])).
% 27.19/26.91 cnf(4738,plain,
% 27.19/26.91 (~E(f12(f12(a2,f5(a2),a1),f42(f42(f9(f12(a2,f5(a2),a1)),x47381),x47381),f42(f42(f9(f12(a2,f5(a2),a1)),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2))),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2)))),f5(f12(a2,f5(a2),a1)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506])).
% 27.19/26.91 cnf(4741,plain,
% 27.19/26.91 (P5(a2,x47411,f12(a2,x47412,x47411))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(4744,plain,
% 27.19/26.91 (P5(a2,f5(a2),x47441)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(4752,plain,
% 27.19/26.91 (~P6(a1,f12(a1,f42(f42(f9(a1),f11(a1,x47521,x47521)),x47522),x47523),x47523)),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780])).
% 27.19/26.91 cnf(4754,plain,
% 27.19/26.91 (~P5(a1,f12(a1,f42(f42(f9(a1),x47541),x47542),a65),f12(a1,f42(f42(f9(a1),x47543),x47542),f12(a1,f42(f42(f9(a1),f11(a1,x47541,x47543)),x47542),f5(a1))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771])).
% 27.19/26.91 cnf(4756,plain,
% 27.19/26.91 (~P6(a1,f12(a1,f42(f42(f9(a1),x47561),x47562),x47563),f12(a1,f42(f42(f9(a1),x47564),x47562),f12(a1,f42(f42(f9(a1),f11(a1,x47561,x47564)),x47562),x47563)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770])).
% 27.19/26.91 cnf(4758,plain,
% 27.19/26.91 (~P5(a1,f12(a1,f42(f42(f9(a1),x47581),x47582),f12(a1,f42(f42(f9(a1),f11(a1,x47583,x47581)),x47582),a65)),f12(a1,f42(f42(f9(a1),x47583),x47582),f5(a1)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769])).
% 27.19/26.91 cnf(4766,plain,
% 27.19/26.91 (~P5(a3,f5(a3),f12(a3,f42(f42(f9(a3),f10(a3)),f12(a3,f42(f42(f9(a3),f10(a3)),f6(a3,f10(a3))),f5(a3))),f5(a3)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,3194,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701])).
% 27.19/26.91 cnf(4768,plain,
% 27.19/26.91 (P8(f63(a1),f18(a1,f6(a1,x47681),f18(a1,f10(a1),f5(f63(a1)))),f11(f63(a1),f11(a2,f12(a2,f5(f63(a1)),x47682),x47682),f11(a2,f12(a2,f5(f63(a1)),x47682),x47682)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,3194,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370])).
% 27.19/26.91 cnf(4772,plain,
% 27.19/26.91 (P9(a1,f12(f63(a1),f18(a1,x47721,f18(a1,a65,f11(a2,f12(a2,f5(f63(a1)),x47722),x47722))),f18(a1,x47721,f18(a1,a65,f11(a2,f12(a2,f5(f63(a1)),x47722),x47722)))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4459,541,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,495,4069,4072,4284,471,4230,451,4075,549,470,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,3194,2671,2681,3975,3978,3571,2232,3851,3431,3814,3676,3611,2908,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039])).
% 27.19/26.91 cnf(4781,plain,
% 27.19/26.91 (P5(a2,f5(a2),x47811)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(4782,plain,
% 27.19/26.91 (P5(a2,f5(a2),x47821)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(4785,plain,
% 27.19/26.91 (P5(a1,f6(a1,f6(a1,x47851)),x47851)),
% 27.19/26.91 inference(rename_variables,[],[3465])).
% 27.19/26.91 cnf(4788,plain,
% 27.19/26.91 (P6(a2,x47881,f12(a2,f12(a2,x47882,x47881),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(4791,plain,
% 27.19/26.91 (P5(a2,x47911,f12(a2,x47912,x47911))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(4794,plain,
% 27.19/26.91 (P6(a2,x47941,f12(a2,f12(a2,x47941,x47942),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[495])).
% 27.19/26.91 cnf(4799,plain,
% 27.19/26.91 (P5(a1,f21(a4,x47991),f12(a1,f21(a4,f12(a4,x47991,x47992)),f21(a4,x47992)))),
% 27.19/26.91 inference(rename_variables,[],[514])).
% 27.19/26.91 cnf(4806,plain,
% 27.19/26.91 (E(f42(f42(f9(a1),f10(a1)),x48061),x48061)),
% 27.19/26.91 inference(rename_variables,[],[415])).
% 27.19/26.91 cnf(4817,plain,
% 27.19/26.91 (~P5(a3,f5(a3),f42(f42(f9(a3),f12(a3,f42(f42(f9(a3),f10(a3)),f6(a3,f10(a3))),f5(a3))),f10(a3)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3431,3814,3676,3611,2077,2908,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446])).
% 27.19/26.91 cnf(4820,plain,
% 27.19/26.91 (P6(a2,x48201,f12(a2,f12(a2,x48202,x48201),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(4822,plain,
% 27.19/26.91 (P6(a2,f5(a2),f42(f42(f9(a2),f12(a2,f12(a2,x48221,f5(a2)),f10(a2))),f12(a2,f12(a2,x48221,f5(a2)),f10(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,378,220,434,202,317,334,466,336,432,219,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3431,3814,3676,3611,2077,2908,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413])).
% 27.19/26.91 cnf(4823,plain,
% 27.19/26.91 (P6(a2,x48231,f12(a2,f12(a2,x48232,x48231),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(4830,plain,
% 27.19/26.91 (P6(a1,x48301,f12(a1,x48301,f10(a1)))),
% 27.19/26.91 inference(rename_variables,[],[2679])).
% 27.19/26.91 cnf(4831,plain,
% 27.19/26.91 (~E(f12(a1,x48311,f10(a1)),x48311)),
% 27.19/26.91 inference(rename_variables,[],[2004])).
% 27.19/26.91 cnf(4842,plain,
% 27.19/26.91 (E(f42(f42(f9(a3),f10(a3)),x48421),x48421)),
% 27.19/26.91 inference(rename_variables,[],[417])).
% 27.19/26.91 cnf(4852,plain,
% 27.19/26.91 (~E(f12(a3,f5(a3),f10(a3)),f5(a3))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3152,3151,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3992,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278])).
% 27.19/26.91 cnf(4853,plain,
% 27.19/26.91 (P5(a3,x48531,x48531)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(4858,plain,
% 27.19/26.91 (P5(a2,x48581,f12(a2,x48582,x48581))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(4860,plain,
% 27.19/26.91 (P5(a2,f5(a2),x48601)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(4862,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f9(a2),f12(a2,x48621,f10(a2))),f12(a2,x48621,f10(a2))),x48621)),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3992,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912])).
% 27.19/26.91 cnf(4866,plain,
% 27.19/26.91 (~E(f42(f42(f9(a2),f12(a2,f10(a2),f10(a2))),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3992,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690])).
% 27.19/26.91 cnf(4871,plain,
% 27.19/26.91 (~P6(a2,x48711,x48711)),
% 27.19/26.91 inference(rename_variables,[],[538])).
% 27.19/26.91 cnf(4875,plain,
% 27.19/26.91 (~P5(a2,f12(a2,f8(a4,a64),f10(a2)),f12(a2,a69,f10(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,3841,3774,1864,4591,1947,4592,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3992,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305])).
% 27.19/26.91 cnf(4882,plain,
% 27.19/26.91 (~P5(a2,f12(a2,f8(a4,a64),x48821),x48821)),
% 27.19/26.91 inference(rename_variables,[],[2211])).
% 27.19/26.91 cnf(4892,plain,
% 27.19/26.91 (P5(a1,f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1))),f6(a1,f42(f42(f9(a1),f14(a1,f5(a1))),f14(a1,f5(a1)))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,1947,4592,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3992,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343])).
% 27.19/26.91 cnf(4895,plain,
% 27.19/26.91 (P6(a1,x48951,f12(a1,x48951,f10(a1)))),
% 27.19/26.91 inference(rename_variables,[],[2679])).
% 27.19/26.91 cnf(4897,plain,
% 27.19/26.91 (~P5(a1,f6(a1,f6(a1,a65)),f6(a1,a65))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,1947,4592,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2137,2118,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255])).
% 27.19/26.91 cnf(4900,plain,
% 27.19/26.91 (P5(a1,f6(a1,f6(a1,x49001)),x49001)),
% 27.19/26.91 inference(rename_variables,[],[3465])).
% 27.19/26.91 cnf(4907,plain,
% 27.19/26.91 (P5(a2,f5(a2),x49071)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(4911,plain,
% 27.19/26.91 (~P6(a2,f5(a2),f12(a2,f5(a2),f5(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,1947,4592,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2626,2944,2137,2118,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428])).
% 27.19/26.91 cnf(4914,plain,
% 27.19/26.91 (~E(f12(a2,f12(a2,f12(a2,f12(a2,f5(a2),f10(a2)),f5(a2)),f10(a2)),x49141),f12(a2,f5(a2),f10(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,495,4069,4072,4284,4642,471,4230,451,4075,549,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2626,2944,2137,2118,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166])).
% 27.19/26.91 cnf(4915,plain,
% 27.19/26.91 (~E(f12(a2,f12(a2,x49151,x49152),f10(a2)),x49152)),
% 27.19/26.91 inference(rename_variables,[],[1864])).
% 27.19/26.91 cnf(4916,plain,
% 27.19/26.91 (~E(f12(a2,f12(a2,x49161,x49162),f10(a2)),x49161)),
% 27.19/26.91 inference(rename_variables,[],[1947])).
% 27.19/26.91 cnf(4919,plain,
% 27.19/26.91 (~E(f12(a2,x49191,f10(a2)),f5(a2))),
% 27.19/26.91 inference(rename_variables,[],[549])).
% 27.19/26.91 cnf(4929,plain,
% 27.19/26.91 (P6(a1,f5(a1),f21(f12(a2,f5(a2),a1),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4459,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,454,4016,455,555,4269,556,442,4573,557,4428,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,495,4069,4072,4284,4642,471,4230,451,4075,549,4239,470,415,368,407,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2626,2944,2137,2118,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815])).
% 27.19/26.91 cnf(4956,plain,
% 27.19/26.91 (~P6(a2,x49561,f12(a2,f42(f42(f9(a2),f11(a2,x49562,x49562)),x49563),x49561))),
% 27.19/26.91 inference(rename_variables,[],[2126])).
% 27.19/26.91 cnf(4957,plain,
% 27.19/26.91 (P5(a2,x49571,f12(a2,x49572,x49571))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(4960,plain,
% 27.19/26.91 (P5(a2,f5(a2),x49601)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(4961,plain,
% 27.19/26.91 (~P5(a2,f12(a2,x49611,f10(a2)),x49611)),
% 27.19/26.91 inference(rename_variables,[],[557])).
% 27.19/26.91 cnf(4971,plain,
% 27.19/26.91 (~P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x49711),f18(a1,f10(a1),f5(f63(a1))))),f12(a2,f19(a1,x49711,f12(a2,f5(f63(a1)),f10(a2))),f10(a2))),f24(a1,f10(a1),f12(a2,f5(f63(a1)),f10(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,454,4016,455,555,4269,556,442,4573,557,4428,4961,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,495,4069,4072,4284,4642,471,4230,451,4075,549,4239,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3153,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3547,3822,2279,2083,3573,3236,4076,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2626,2944,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363])).
% 27.19/26.91 cnf(4974,plain,
% 27.19/26.91 (E(f42(f42(f9(a3),f10(a3)),x49741),x49741)),
% 27.19/26.91 inference(rename_variables,[],[417])).
% 27.19/26.91 cnf(4977,plain,
% 27.19/26.91 (P5(a3,x49771,x49771)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(4980,plain,
% 27.19/26.91 (P5(a3,x49801,x49801)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(4991,plain,
% 27.19/26.91 (~P5(a2,f12(a2,x49911,f10(a2)),x49911)),
% 27.19/26.91 inference(rename_variables,[],[557])).
% 27.19/26.91 cnf(5001,plain,
% 27.19/26.91 (~E(f12(a2,x50011,f10(a2)),f5(a2))),
% 27.19/26.91 inference(rename_variables,[],[549])).
% 27.19/26.91 cnf(5004,plain,
% 27.19/26.91 (~P5(a2,f42(f42(f9(a2),f12(a2,f10(a2),f10(a2))),f12(a2,f10(a2),f10(a2))),f12(a2,f10(a2),f10(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,4842,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,454,4016,455,555,4269,556,442,4573,557,4428,4961,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,4355,495,4069,4072,4284,4642,471,4230,451,4075,549,4239,4919,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3153,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,2467,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438])).
% 27.19/26.91 cnf(5005,plain,
% 27.19/26.91 (~P5(a2,f42(f42(f9(a2),f12(a2,x50051,f10(a2))),f12(a2,x50051,f10(a2))),x50051)),
% 27.19/26.91 inference(rename_variables,[],[3196])).
% 27.19/26.91 cnf(5006,plain,
% 27.19/26.91 (~E(f42(f42(f9(a2),f12(a2,x50061,f10(a2))),f12(a2,f10(a2),f10(a2))),f12(a2,x50061,f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[3236])).
% 27.19/26.91 cnf(5018,plain,
% 27.19/26.91 (~P6(a3,f5(a3),f42(f42(f9(a3),f42(f42(f9(a3),f10(a3)),f5(a3))),f42(f42(f9(a3),f10(a3)),f5(a3))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,4842,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,454,4016,455,555,4269,556,442,4573,557,4428,4961,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,4355,495,4069,4072,4284,4642,471,4230,451,4075,549,4239,4919,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3177,3172,3166,3156,3153,3152,3151,3139,3132,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,3253,2467,3696,3196,4536,3341,2098,3748,1800,2211,2129,2126,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236])).
% 27.19/26.91 cnf(5023,plain,
% 27.19/26.91 (P6(a2,x50231,f12(a2,f12(a2,x50232,x50231),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(5044,plain,
% 27.19/26.91 (~P5(a2,f12(a2,x50441,f10(a2)),x50441)),
% 27.19/26.91 inference(rename_variables,[],[557])).
% 27.19/26.91 cnf(5045,plain,
% 27.19/26.91 (P5(a2,f5(a2),x50451)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5049,plain,
% 27.19/26.91 (P5(a2,f5(a2),x50491)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5055,plain,
% 27.19/26.91 (P5(a2,x50551,f42(f42(f9(a2),f12(a2,x50551,f10(a2))),f12(a2,x50551,f10(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,4842,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,454,4016,455,555,4269,556,442,4573,557,4428,4961,4991,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,1800,4435,2211,2129,2126,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849])).
% 27.19/26.91 cnf(5062,plain,
% 27.19/26.91 (P5(a1,f6(a1,a65),f6(a1,f5(a1)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,4842,514,4012,4677,4799,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,454,4016,455,555,4269,556,442,4573,557,4428,4961,4991,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,1800,4435,2211,2129,2126,4956,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879])).
% 27.19/26.91 cnf(5067,plain,
% 27.19/26.91 (P5(a1,f21(a4,x50671),f12(a1,f21(a4,f12(a4,x50671,x50672)),f21(a4,x50672)))),
% 27.19/26.91 inference(rename_variables,[],[514])).
% 27.19/26.91 cnf(5076,plain,
% 27.19/26.91 (P5(a3,x50761,x50761)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5094,plain,
% 27.19/26.91 (~P6(a3,f42(f42(f9(a3),f10(a3)),f10(a3)),f5(a3))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,4842,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,556,442,4573,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,2129,2126,4956,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3467,3471,3686,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435])).
% 27.19/26.91 cnf(5095,plain,
% 27.19/26.91 (P5(a3,x50951,x50951)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5117,plain,
% 27.19/26.91 (~E(f12(a2,f12(a2,f11(a2,x51171,f5(a2)),f5(a2)),f10(a2)),x51171)),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,449,431,408,3972,4094,409,473,474,4259,475,477,417,4169,4414,4842,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,556,442,4573,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,470,415,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2027,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,3485,2340,3843,3633,2176,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3469,3467,3471,3686,2133,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,2174,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13])).
% 27.19/26.91 cnf(5128,plain,
% 27.19/26.91 (E(f42(f42(f9(a2),f10(a2)),x51281),x51281)),
% 27.19/26.91 inference(rename_variables,[],[416])).
% 27.19/26.91 cnf(5130,plain,
% 27.19/26.91 (E(f42(f42(f9(a2),f10(a2)),x51301),x51301)),
% 27.19/26.91 inference(rename_variables,[],[416])).
% 27.19/26.91 cnf(5135,plain,
% 27.19/26.91 (~E(f6(a1,f6(a1,f12(a2,x51351,f10(a2)))),x51351)),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,4459,4781,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,556,442,4573,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2141,2025,1955,1916,3461,1962,4421,2004,4054,2090,2458,3841,3774,1864,4591,4615,1947,4592,4616,2027,2109,3351,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,3465,4785,3469,3467,3471,3686,2133,2123,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21])).
% 27.19/26.91 cnf(5146,plain,
% 27.19/26.91 (~P6(a2,f12(a2,x51461,x51462),x51462)),
% 27.19/26.91 inference(rename_variables,[],[555])).
% 27.19/26.91 cnf(5147,plain,
% 27.19/26.91 (P5(a2,f5(a2),x51471)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5153,plain,
% 27.19/26.91 (P6(a1,x51531,f12(a1,x51531,f10(a1)))),
% 27.19/26.91 inference(rename_variables,[],[2679])).
% 27.19/26.91 cnf(5156,plain,
% 27.19/26.91 (P5(a1,f6(a1,f6(a1,x51561)),x51561)),
% 27.19/26.91 inference(rename_variables,[],[3465])).
% 27.19/26.91 cnf(5159,plain,
% 27.19/26.91 (P5(a2,f5(a2),x51591)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5164,plain,
% 27.19/26.91 (P5(a3,x51641,x51641)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5165,plain,
% 27.19/26.91 (E(f12(a3,f5(a3),x51651),x51651)),
% 27.19/26.91 inference(rename_variables,[],[429])).
% 27.19/26.91 cnf(5168,plain,
% 27.19/26.91 (P5(a3,x51681,x51681)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5175,plain,
% 27.19/26.91 (P6(a1,x51751,f12(a1,x51751,f10(a1)))),
% 27.19/26.91 inference(rename_variables,[],[2679])).
% 27.19/26.91 cnf(5189,plain,
% 27.19/26.91 (~E(f12(a2,x51891,f10(a2)),f5(a2))),
% 27.19/26.91 inference(rename_variables,[],[549])).
% 27.19/26.91 cnf(5196,plain,
% 27.19/26.91 (P5(a2,f5(a2),x51961)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5204,plain,
% 27.19/26.91 (~P6(a1,f14(a1,f10(a1)),f5(a1))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1818,2679,3988,3992,4830,4895,5153,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095])).
% 27.19/26.91 cnf(5211,plain,
% 27.19/26.91 (~P5(a3,f10(a3),f42(f42(f9(a3),f5(a3)),f5(a3)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122])).
% 27.19/26.91 cnf(5222,plain,
% 27.19/26.91 (~P8(a2,f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2)),f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f12(a3,f5(a3),f10(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3263,1920,1971,2785,3353,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123])).
% 27.19/26.91 cnf(5225,plain,
% 27.19/26.91 (E(f12(a2,x52251,x52252),f12(a2,x52252,x52251))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5227,plain,
% 27.19/26.91 (E(f12(a2,x52271,x52272),f12(a2,x52272,x52271))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5228,plain,
% 27.19/26.91 (P47(f12(a2,a1,f5(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3132,3377,3130,1914,1880,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185])).
% 27.19/26.91 cnf(5229,plain,
% 27.19/26.91 (E(f12(a2,x52291,x52292),f12(a2,x52292,x52291))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5231,plain,
% 27.19/26.91 (E(f12(a2,x52311,x52312),f12(a2,x52312,x52311))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5233,plain,
% 27.19/26.91 (E(f12(a2,x52331,x52332),f12(a2,x52332,x52331))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5235,plain,
% 27.19/26.91 (E(f12(a2,x52351,x52352),f12(a2,x52352,x52351))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5237,plain,
% 27.19/26.91 (E(f12(a2,x52371,x52372),f12(a2,x52372,x52371))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5239,plain,
% 27.19/26.91 (E(f12(a2,x52391,x52392),f12(a2,x52392,x52391))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5241,plain,
% 27.19/26.91 (E(f12(a2,x52411,x52412),f12(a2,x52412,x52411))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5242,plain,
% 27.19/26.91 (P64(f12(a2,a1,f5(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166])).
% 27.19/26.91 cnf(5243,plain,
% 27.19/26.91 (E(f12(a2,x52431,x52432),f12(a2,x52432,x52431))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5245,plain,
% 27.19/26.91 (E(f12(a2,x52451,x52452),f12(a2,x52452,x52451))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5247,plain,
% 27.19/26.91 (E(f12(a2,x52471,x52472),f12(a2,x52472,x52471))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5249,plain,
% 27.19/26.91 (E(f12(a2,x52491,x52492),f12(a2,x52492,x52491))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5251,plain,
% 27.19/26.91 (E(f12(a2,x52511,x52512),f12(a2,x52512,x52511))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5253,plain,
% 27.19/26.91 (E(f12(a2,x52531,x52532),f12(a2,x52532,x52531))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5254,plain,
% 27.19/26.91 (P73(f12(a2,a1,f5(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3156,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149])).
% 27.19/26.91 cnf(5255,plain,
% 27.19/26.91 (E(f12(a2,x52551,x52552),f12(a2,x52552,x52551))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5257,plain,
% 27.19/26.91 (E(f12(a2,x52571,x52572),f12(a2,x52572,x52571))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5259,plain,
% 27.19/26.91 (E(f12(a2,x52591,x52592),f12(a2,x52592,x52591))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5261,plain,
% 27.19/26.91 (E(f12(a2,x52611,x52612),f12(a2,x52612,x52611))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5263,plain,
% 27.19/26.91 (E(f12(a2,x52631,x52632),f12(a2,x52632,x52631))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5264,plain,
% 27.19/26.91 (P27(f12(a2,a1,f5(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3187,3185,3184,3181,3179,3177,3172,3166,3165,3163,3160,3158,3156,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136])).
% 27.19/26.91 cnf(5265,plain,
% 27.19/26.91 (E(f12(a2,x52651,x52652),f12(a2,x52652,x52651))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5267,plain,
% 27.19/26.91 (E(f12(a2,x52671,x52672),f12(a2,x52672,x52671))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5269,plain,
% 27.19/26.91 (E(f12(a2,x52691,x52692),f12(a2,x52692,x52691))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5271,plain,
% 27.19/26.91 (E(f12(a2,x52711,x52712),f12(a2,x52712,x52711))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5273,plain,
% 27.19/26.91 (E(f12(a2,x52731,x52732),f12(a2,x52732,x52731))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5275,plain,
% 27.19/26.91 (E(f12(a2,x52751,x52752),f12(a2,x52752,x52751))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5277,plain,
% 27.19/26.91 (E(f12(a2,x52771,x52772),f12(a2,x52772,x52771))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5279,plain,
% 27.19/26.91 (E(f12(a2,x52791,x52792),f12(a2,x52792,x52791))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5281,plain,
% 27.19/26.91 (E(f12(a2,x52811,x52812),f12(a2,x52812,x52811))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5283,plain,
% 27.19/26.91 (E(f12(a2,x52831,x52832),f12(a2,x52832,x52831))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5285,plain,
% 27.19/26.91 (E(f42(f42(f9(a3),f10(a3)),x52851),x52851)),
% 27.19/26.91 inference(rename_variables,[],[417])).
% 27.19/26.91 cnf(5287,plain,
% 27.19/26.91 (E(f12(a2,x52871,x52872),f12(a2,x52872,x52871))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5289,plain,
% 27.19/26.91 (E(f12(a2,x52891,x52892),f12(a2,x52892,x52891))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5298,plain,
% 27.19/26.91 (P6(f12(a2,f5(a2),a1),f5(f12(a2,f5(a2),a1)),f42(f42(f9(f12(a2,f5(a2),a1)),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2))),f12(a2,f5(f12(a2,f5(a2),a1)),f10(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356])).
% 27.19/26.91 cnf(5307,plain,
% 27.19/26.91 (~E(f12(a2,x53071,f10(a2)),f5(a2))),
% 27.19/26.91 inference(rename_variables,[],[549])).
% 27.19/26.91 cnf(5309,plain,
% 27.19/26.91 (P9(a1,f18(a1,a27,f42(f42(f9(a3),f10(a3)),f5(f63(a1)))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185])).
% 27.19/26.91 cnf(5310,plain,
% 27.19/26.91 (E(f42(f42(f9(a3),f10(a3)),x53101),x53101)),
% 27.19/26.91 inference(rename_variables,[],[417])).
% 27.19/26.91 cnf(5312,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f22(a2),x53121),x53122),f42(f42(f22(a2),f5(a2)),x53122))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654])).
% 27.19/26.91 cnf(5316,plain,
% 27.19/26.91 (~P5(a1,f42(f42(f9(a1),f14(a1,f6(a1,a65))),f42(f42(f9(a1),a65),f5(a1))),f42(f42(f9(a1),f14(a1,f6(a1,a65))),f42(f42(f9(a1),a65),a65)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650])).
% 27.19/26.91 cnf(5328,plain,
% 27.19/26.91 (P6(a3,f42(f42(f9(a3),f12(a3,f10(a3),f10(a3))),f12(a3,f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))))),f42(f42(f9(a3),f5(a3)),f12(a3,f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))),f11(a3,f10(a3),f12(a3,f10(a3),f10(a3))))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,2141,2025,1955,1916,3740,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533])).
% 27.19/26.91 cnf(5334,plain,
% 27.19/26.91 (~E(f12(a2,f42(f42(f9(a2),f11(a2,x53341,x53341)),x53342),f12(a2,f12(a2,f42(f42(f9(a2),x53341),x53342),x53343),f10(a2))),x53343)),
% 27.19/26.91 inference(rename_variables,[],[2139])).
% 27.19/26.91 cnf(5336,plain,
% 27.19/26.91 (~E(f13(f12(a2,a1,f5(a2)),f12(a2,f42(f42(f9(a2),f11(a2,x53361,x53361)),x53362),f12(a2,f12(a2,f42(f42(f9(a2),x53361),x53362),f5(f12(a2,a1,f5(a2)))),f10(a2)))),f5(f12(a2,a1,f5(a2))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,5307,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,5334,2141,2025,1955,1916,3740,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533,1040,899,658])).
% 27.19/26.91 cnf(5340,plain,
% 27.19/26.91 (P8(f63(a4),f24(a4,f42(f15(a4,a71),f5(a4)),f18(a4,f6(a4,a33),f18(a4,f10(a4),f5(f63(a4))))),f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2)))))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,277,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,5307,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,5334,2141,2025,3889,1955,1916,3740,3461,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533,1040,899,658,1540,1251])).
% 27.19/26.91 cnf(5346,plain,
% 27.19/26.91 (~E(f12(a1,a65,a65),f5(a1))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,277,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,5307,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3130,3126,1914,1880,3123,3810,3243,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,5334,2141,2025,3889,1955,1916,3740,3461,3736,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,2081,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533,1040,899,658,1540,1251,1249,859,889])).
% 27.19/26.91 cnf(5358,plain,
% 27.19/26.91 (E(f12(a2,x53581,x53582),f12(a2,x53582,x53581))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5360,plain,
% 27.19/26.91 (E(f12(a2,x53601,x53602),f12(a2,x53602,x53601))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5362,plain,
% 27.19/26.91 (E(f12(a2,x53621,x53622),f12(a2,x53622,x53621))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5364,plain,
% 27.19/26.91 (E(f12(a2,x53641,x53642),f12(a2,x53642,x53641))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5366,plain,
% 27.19/26.91 (E(f12(a2,x53661,x53662),f12(a2,x53662,x53661))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5368,plain,
% 27.19/26.91 (E(f12(a2,x53681,x53682),f12(a2,x53682,x53681))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5370,plain,
% 27.19/26.91 (E(f12(a2,x53701,x53702),f12(a2,x53702,x53701))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5372,plain,
% 27.19/26.91 (E(f12(a2,x53721,x53722),f12(a2,x53722,x53721))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5373,plain,
% 27.19/26.91 (P65(f12(a2,a1,f5(a2)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,277,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,5289,5358,5360,5362,5364,5366,5368,5370,5372,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,5307,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3174,3173,3172,3171,3170,3166,3165,3163,3160,3158,3156,3155,3153,3152,3151,3147,3145,3144,3139,3138,3136,3135,3132,3377,3131,3130,3129,3128,3127,3126,3125,1914,3124,1880,3123,3810,3243,3122,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,5334,2141,2025,4722,3889,1955,1916,3740,3461,3736,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,3119,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,2081,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1815,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,5175,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533,1040,899,658,1540,1251,1249,859,889,1657,1290,1148,187,184,182,181,179,178,177,174,173])).
% 27.19/26.91 cnf(5374,plain,
% 27.19/26.91 (E(f12(a2,x53741,x53742),f12(a2,x53742,x53741))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5376,plain,
% 27.19/26.91 (E(f12(a2,x53761,x53762),f12(a2,x53762,x53761))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5378,plain,
% 27.19/26.91 (E(f12(a2,x53781,x53782),f12(a2,x53782,x53781))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5380,plain,
% 27.19/26.91 (E(f12(a2,x53801,x53802),f12(a2,x53802,x53801))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5382,plain,
% 27.19/26.91 (E(f12(a2,x53821,x53822),f12(a2,x53822,x53821))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5384,plain,
% 27.19/26.91 (E(f12(a2,x53841,x53842),f12(a2,x53842,x53841))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5386,plain,
% 27.19/26.91 (E(f12(a2,x53861,x53862),f12(a2,x53862,x53861))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5388,plain,
% 27.19/26.91 (E(f12(a2,x53881,x53882),f12(a2,x53882,x53881))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5390,plain,
% 27.19/26.91 (E(f12(a2,x53901,x53902),f12(a2,x53902,x53901))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5392,plain,
% 27.19/26.91 (E(f12(a2,x53921,x53922),f12(a2,x53922,x53921))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5394,plain,
% 27.19/26.91 (E(f12(a2,x53941,x53942),f12(a2,x53942,x53941))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5396,plain,
% 27.19/26.91 (E(f12(a2,x53961,x53962),f12(a2,x53962,x53961))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5398,plain,
% 27.19/26.91 (E(f12(a2,x53981,x53982),f12(a2,x53982,x53981))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5400,plain,
% 27.19/26.91 (E(f12(a2,x54001,x54002),f12(a2,x54002,x54001))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5402,plain,
% 27.19/26.91 (E(f12(a2,x54021,x54022),f12(a2,x54022,x54021))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5404,plain,
% 27.19/26.91 (E(f12(a2,x54041,x54042),f12(a2,x54042,x54041))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5406,plain,
% 27.19/26.91 (E(f12(a2,x54061,x54062),f12(a2,x54062,x54061))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5408,plain,
% 27.19/26.91 (E(f12(a2,x54081,x54082),f12(a2,x54082,x54081))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5410,plain,
% 27.19/26.91 (E(f12(a2,x54101,x54102),f12(a2,x54102,x54101))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5412,plain,
% 27.19/26.91 (E(f12(a2,x54121,x54122),f12(a2,x54122,x54121))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5414,plain,
% 27.19/26.91 (E(f12(a2,x54141,x54142),f12(a2,x54142,x54141))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5416,plain,
% 27.19/26.91 (E(f12(a2,x54161,x54162),f12(a2,x54162,x54161))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5418,plain,
% 27.19/26.91 (E(f12(a2,x54181,x54182),f12(a2,x54182,x54181))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5420,plain,
% 27.19/26.91 (E(f12(a2,x54201,x54202),f12(a2,x54202,x54201))),
% 27.19/26.91 inference(rename_variables,[],[442])).
% 27.19/26.91 cnf(5429,plain,
% 27.19/26.91 (~P42(f42(f42(f9(a3),f10(a3)),a2))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,277,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,5310,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,5289,5358,5360,5362,5364,5366,5368,5370,5372,5374,5376,5378,5380,5382,5384,5386,5388,5390,5392,5394,5396,5398,5400,5402,5404,5406,5408,5410,5412,5414,5416,5418,5420,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,5307,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3189,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3175,3174,3173,3172,3171,3170,3169,3168,3167,3166,3165,3164,3163,3160,3159,3158,3157,3156,3155,3154,3153,3152,3151,3149,3148,3147,3146,3145,3144,3143,3139,3138,3137,3136,3135,3134,3133,3132,3377,3131,3130,3129,3128,3127,3126,3125,1914,3124,1880,3123,3810,3243,3122,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,5334,2141,2025,4722,3889,1955,1916,3740,3461,3736,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,3119,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,2081,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1815,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,5175,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533,1040,899,658,1540,1251,1249,859,889,1657,1290,1148,187,184,182,181,179,178,177,174,173,172,171,168,162,159,157,156,154,152,151,150,148,146,141,135,133,132,129,126,123,121,116,113,109,968,967,1493,176])).
% 27.19/26.91 cnf(5432,plain,
% 27.19/26.91 (P8(a3,f42(f42(f22(a3),x54321),f5(a2)),f12(a3,f12(a3,f42(f42(f22(a3),f42(f42(f22(a3),x54321),f5(a2))),f12(a2,f12(a2,x54322,f5(a2)),f10(a2))),f42(f42(f9(a3),x54323),f42(f42(f22(a3),f42(f42(f22(a3),x54321),f5(a2))),f12(a2,f12(a2,x54322,f5(a2)),f10(a2))))),f42(f42(f9(a3),f42(f42(f22(a3),x54321),f5(a2))),x54324)))),
% 27.19/26.91 inference(scs_inference,[],[562,1791,1792,3936,3943,3984,4668,206,225,231,238,242,244,245,248,249,252,256,268,277,279,280,286,287,299,302,327,332,338,348,350,352,358,362,379,380,394,528,404,469,504,505,511,449,431,408,3972,4094,409,473,474,4259,475,477,4173,479,417,4169,4414,4842,4974,5285,5310,514,4012,4677,4799,5067,515,468,525,411,3946,3981,4003,4006,4009,413,4275,4312,4315,4853,4977,4980,5076,5095,5164,5168,414,4015,538,4079,4233,4520,4871,195,201,210,216,226,230,240,255,341,424,3955,4164,4170,4174,4319,4323,4350,4353,4436,4460,4496,4744,4782,4860,4907,4960,5045,5049,5159,5196,4459,4781,5147,541,4649,531,465,536,453,3999,4163,4318,4322,4349,4455,4567,4741,4791,4858,4957,454,4016,455,555,4269,4439,5146,556,442,4573,4581,5225,5227,5229,5231,5233,5235,5237,5239,5241,5243,5245,5247,5249,5251,5253,5255,5257,5259,5261,5263,5265,5267,5269,5271,5273,5275,5277,5279,5281,5283,5287,5289,5358,5360,5362,5364,5366,5368,5370,5372,5374,5376,5378,5380,5382,5384,5386,5388,5390,5392,5394,5396,5398,5400,5402,5404,5406,5408,5410,5412,5414,5416,5418,5420,557,4428,4961,4991,5044,456,4338,457,426,3951,4575,427,4597,428,543,4086,4090,4130,4359,4403,4447,4552,4604,4652,4655,494,3958,4057,4068,4087,4091,4095,4127,4133,4285,4356,4442,4499,4598,4788,4820,4823,5023,4355,495,4069,4072,4284,4642,4794,471,4230,451,4075,549,4239,4919,5001,5189,5307,470,415,4806,416,5128,5130,368,407,322,193,209,213,214,224,228,246,251,266,274,330,347,459,320,460,197,284,325,326,329,375,391,429,5165,335,420,190,203,282,366,381,211,318,370,377,558,198,234,283,337,346,374,367,199,227,229,189,200,212,534,378,419,220,434,191,202,317,334,466,336,432,219,533,233,345,3191,3189,3187,3185,3184,3182,3181,3180,3179,3178,3177,3176,3175,3174,3173,3172,3171,3170,3169,3168,3167,3166,3165,3164,3163,3160,3159,3158,3157,3156,3155,3154,3153,3152,3151,3149,3148,3147,3146,3145,3144,3143,3139,3138,3137,3136,3135,3134,3133,3132,3377,3131,3130,3129,3128,3127,3126,3125,1914,3124,1880,3123,3810,3243,3122,1949,1922,3121,3263,1920,1971,2785,3353,3120,3768,3547,3822,2279,2083,3573,3236,4076,4242,5006,2713,2829,2831,1856,3412,1935,1851,3995,1945,3996,4000,4398,4456,4601,3257,2139,5334,2141,2025,4722,3889,1955,1916,3740,3461,3736,1962,4421,2004,4054,4831,2090,2458,3841,3774,1864,4591,4615,4915,1947,4592,4616,4916,3119,2027,2109,3351,2290,3830,3206,1899,3824,2047,2251,3106,3971,3511,2302,3375,3628,2663,3688,3190,1895,1897,2081,3485,2340,3843,2478,3633,2176,3188,3162,1994,3855,3214,3220,3475,3226,1918,3198,2628,3253,2467,3696,3954,3196,4536,5005,3341,2098,3748,2201,1800,4435,2211,4882,2129,2126,4956,3698,1886,1892,2626,2944,2205,1815,1889,2137,2118,2195,3394,1812,1818,4380,2679,3988,3992,4830,4895,5153,5175,3118,3150,3465,4785,4900,5156,3469,3467,3471,4179,3686,2133,2123,3433,3435,2366,2370,2376,2380,2444,3565,3796,3853,3194,2671,2681,3975,3978,4485,3571,2232,3806,3851,3425,3429,3431,3814,3676,3611,2077,2908,4272,2318,3396,3670,3666,1937,2499,3459,3278,3247,3704,3161,1907,2697,2699,2711,3896,3140,2174,2014,1789,1345,1092,1082,1060,1710,943,1119,1523,1618,1617,1713,1546,1536,1266,1449,1448,1261,1229,1685,1674,895,1697,1639,1551,1550,1153,1566,753,736,630,1626,745,726,722,1299,1296,1284,1176,918,790,980,769,1159,808,757,1462,984,877,826,1221,1220,1352,1371,1361,1332,1214,1320,1319,1161,1365,1222,1298,1297,999,937,733,1281,1181,1023,1021,855,675,673,1607,1498,1372,1282,1067,836,829,653,637,1712,1515,934,1392,1390,1224,665,1586,1233,1127,1126,1087,1081,1057,838,743,742,691,681,671,641,1572,1389,1355,1248,1247,843,915,894,870,869,795,891,803,1718,1142,811,1774,1766,1743,1733,1732,1788,1714,1781,1779,1778,1741,1740,1731,1730,1151,1028,887,881,1702,1117,772,1592,1393,1516,1709,1548,1649,1624,1571,1570,1547,1544,1543,1535,1445,1427,1426,1425,1423,1417,1416,1415,1412,1411,846,1668,1228,1726,1725,897,1679,1675,828,913,848,784,778,686,797,1341,977,1306,1301,1172,1170,975,1257,837,1011,1010,1032,1604,957,629,1577,1106,1231,730,643,640,638,751,1569,1767,1784,1768,1080,954,1522,1527,1271,1429,1419,1279,1676,683,935,1235,1192,804,1563,1377,1374,1186,982,942,1020,839,1140,1587,1776,1154,1526,1433,1194,1115,1564,1254,940,1018,1764,1385,1658,907,710,1401,1378,1121,993,1289,1404,1108,809,1174,1130,11,832,1256,1184,1465,1464,1463,880,144,143,138,137,134,112,106,3,1014,923,1131,1696,741,1162,1031,978,719,1331,1209,1208,1165,1042,1041,1000,962,1692,1691,1511,1461,1383,1022,732,1706,1600,1474,1366,960,1763,995,929,662,1391,1336,1335,1223,1139,1112,1073,1071,1063,812,667,1358,1241,1232,1094,1093,1049,867,866,798,762,761,680,661,1002,744,1707,860,1620,827,816,1660,904,1717,1507,1506,1777,1775,1483,1669,1667,1780,1771,1770,1769,1152,1146,1559,1701,1370,1369,1039,1038,699,1514,1360,1549,1646,1524,1386,1234,1324,1651,1537,1076,1492,1491,1452,1447,1446,1414,1413,1409,1364,900,847,1636,1635,1720,1265,1748,1760,1611,1278,896,1680,912,783,690,936,938,1368,1305,1288,1287,1200,973,1129,976,928,1343,1344,1255,1120,983,926,825,1428,1166,1167,674,1603,1035,1033,815,1406,1405,1585,644,1240,871,796,1666,1665,1742,1150,946,1682,1388,1387,1744,1420,1363,834,1747,1637,1380,1291,1342,108,1015,858,712,1168,1438,840,1110,1055,1050,639,1236,1149,1648,1322,850,1367,22,1373,1311,1329,1017,1048,1765,948,1384,1659,849,694,1178,879,1508,1408,1407,1402,1528,1434,1575,1009,1512,740,1583,1579,1525,1435,1574,1436,1116,1581,1083,1300,2,17,16,14,13,165,124,114,111,110,105,103,107,104,21,696,1132,1444,1325,1681,1337,1276,1275,1556,1724,1723,1567,1340,1339,1277,663,646,890,1565,1455,1655,1653,1652,1541,1095,1746,1122,1147,1542,1539,1510,1123,188,186,185,183,180,175,170,169,167,166,161,160,158,155,153,149,147,145,142,139,136,131,130,128,127,125,122,120,119,118,117,115,102,1476,1475,888,660,1356,1045,856,1243,1745,1185,1654,1656,1650,1623,1622,1621,1545,1534,1533,1040,899,658,1540,1251,1249,859,889,1657,1290,1148,187,184,182,181,179,178,177,174,173,172,171,168,162,159,157,156,154,152,151,150,148,146,141,135,133,132,129,126,123,121,116,113,109,968,967,1493,176,1750,1728])).
% 27.19/26.91 cnf(5453,plain,
% 27.19/26.91 (P5(a1,x54531,x54531)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5463,plain,
% 27.19/26.91 (P8(a3,x54631,f42(f42(f22(a3),x54631),f12(a2,f12(a2,x54632,f5(a2)),f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[4083])).
% 27.19/26.91 cnf(5468,plain,
% 27.19/26.91 (P6(a1,x54681,f6(a1,f6(a1,f12(a1,f6(a1,f6(a1,x54681)),f10(a1)))))),
% 27.19/26.91 inference(rename_variables,[],[3471])).
% 27.19/26.91 cnf(5473,plain,
% 27.19/26.91 (P5(a3,x54731,x54731)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5476,plain,
% 27.19/26.91 (P5(a1,x54761,x54761)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5481,plain,
% 27.19/26.91 (~P5(a2,f12(a2,x54811,f10(a2)),x54811)),
% 27.19/26.91 inference(rename_variables,[],[557])).
% 27.19/26.91 cnf(5488,plain,
% 27.19/26.91 (P6(a3,x54881,f12(a3,x54881,f10(a3)))),
% 27.19/26.91 inference(rename_variables,[],[1812])).
% 27.19/26.91 cnf(5497,plain,
% 27.19/26.91 (P5(a2,x54971,f42(f42(f9(a2),x54971),f42(f42(f9(a2),x54971),x54971)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5505,plain,
% 27.19/26.91 (E(f42(f42(f9(a2),x55051),f10(a2)),x55051)),
% 27.19/26.91 inference(rename_variables,[],[408])).
% 27.19/26.91 cnf(5508,plain,
% 27.19/26.91 (P8(a2,x55081,f42(f42(f9(a2),x55081),x55082))),
% 27.19/26.91 inference(rename_variables,[],[1979])).
% 27.19/26.91 cnf(5511,plain,
% 27.19/26.91 (P8(a3,x55111,f42(f42(f22(a3),x55111),f12(a2,f12(a2,x55112,f5(a2)),f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[4083])).
% 27.19/26.91 cnf(5514,plain,
% 27.19/26.91 (P6(a2,x55141,f12(a2,f12(a2,x55142,x55141),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(5522,plain,
% 27.19/26.91 (~E(f12(a2,x55221,f10(a2)),x55221)),
% 27.19/26.91 inference(rename_variables,[],[543])).
% 27.19/26.91 cnf(5531,plain,
% 27.19/26.91 (~P6(a2,f12(a2,x55311,x55312),x55312)),
% 27.19/26.91 inference(rename_variables,[],[555])).
% 27.19/26.91 cnf(5534,plain,
% 27.19/26.91 (P6(a2,x55341,f12(a2,x55342,f12(a2,f12(a2,x55343,x55341),f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[4384])).
% 27.19/26.91 cnf(5540,plain,
% 27.19/26.91 (P5(a2,f5(a2),x55401)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5552,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f9(a2),f12(a2,x55521,f10(a2))),f12(a2,x55521,f10(a2))),x55521)),
% 27.19/26.91 inference(rename_variables,[],[4862])).
% 27.19/26.91 cnf(5553,plain,
% 27.19/26.91 (~E(f42(f42(f9(a2),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))),x55531),f12(a2,f5(a2),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[4551])).
% 27.19/26.91 cnf(5557,plain,
% 27.19/26.91 (P6(a3,x55571,f12(a3,x55571,f10(a3)))),
% 27.19/26.91 inference(rename_variables,[],[1812])).
% 27.19/26.91 cnf(5571,plain,
% 27.19/26.91 (P5(a1,x55711,x55711)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5582,plain,
% 27.19/26.91 (P5(a1,x55821,x55821)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5585,plain,
% 27.19/26.91 (P5(a1,x55851,x55851)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5592,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f9(a2),f12(a2,x55921,f10(a2))),f12(a2,x55921,f10(a2))),x55921)),
% 27.19/26.91 inference(rename_variables,[],[4862])).
% 27.19/26.91 cnf(5595,plain,
% 27.19/26.91 (P8(a3,x55951,f42(f42(f22(a3),x55951),f12(a2,f12(a2,x55952,f5(a2)),f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[4083])).
% 27.19/26.91 cnf(5600,plain,
% 27.19/26.91 (E(f42(f42(f9(a3),f10(a3)),x56001),x56001)),
% 27.19/26.91 inference(rename_variables,[],[417])).
% 27.19/26.91 cnf(5610,plain,
% 27.19/26.91 (~E(f12(a2,x56101,f10(a2)),x56101)),
% 27.19/26.91 inference(rename_variables,[],[543])).
% 27.19/26.91 cnf(5613,plain,
% 27.19/26.91 (~P6(a1,x56131,x56131)),
% 27.19/26.91 inference(rename_variables,[],[1792])).
% 27.19/26.91 cnf(5616,plain,
% 27.19/26.91 (P5(a2,x56161,f42(f42(f9(a2),x56161),f42(f42(f9(a2),x56161),x56161)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5617,plain,
% 27.19/26.91 (~E(x56171,f12(a2,x56171,f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[1796])).
% 27.19/26.91 cnf(5624,plain,
% 27.19/26.91 (P5(a2,x56241,f12(a2,x56242,x56241))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(5627,plain,
% 27.19/26.91 (P5(a3,x56271,x56271)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5633,plain,
% 27.19/26.91 (P5(a1,x56331,x56331)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5636,plain,
% 27.19/26.91 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x56361),f18(a1,f10(a1),f5(f63(a1))))),f19(a1,x56361,x56362)),f6(f63(a1),x56362))),
% 27.19/26.91 inference(rename_variables,[],[4105])).
% 27.19/26.91 cnf(5637,plain,
% 27.19/26.91 (P8(f63(a1),f42(f42(f22(f63(a1)),f18(a1,f6(a1,x56371),f18(a1,f10(a1),f5(f63(a1))))),f19(a1,x56371,x56372)),x56372)),
% 27.19/26.91 inference(rename_variables,[],[3106])).
% 27.19/26.91 cnf(5646,plain,
% 27.19/26.91 (~E(f6(a3,f12(a2,f42(f42(f9(a2),f11(a2,x56461,x56461)),x56462),f12(a2,f12(a2,f42(f42(f9(a2),x56461),x56462),f6(a3,x56463)),f10(a2)))),x56463)),
% 27.19/26.91 inference(rename_variables,[],[4685])).
% 27.19/26.91 cnf(5649,plain,
% 27.19/26.91 (P5(a3,x56491,x56491)),
% 27.19/26.91 inference(rename_variables,[],[413])).
% 27.19/26.91 cnf(5655,plain,
% 27.19/26.91 (~E(x56551,f12(a2,x56551,f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[1796])).
% 27.19/26.91 cnf(5661,plain,
% 27.19/26.91 (~E(f12(a2,x56611,f10(a2)),f5(a2))),
% 27.19/26.91 inference(rename_variables,[],[549])).
% 27.19/26.91 cnf(5664,plain,
% 27.19/26.91 (~P6(a1,x56641,x56641)),
% 27.19/26.91 inference(rename_variables,[],[1792])).
% 27.19/26.91 cnf(5669,plain,
% 27.19/26.91 (P5(a2,x56691,f42(f42(f9(a2),x56691),f42(f42(f9(a2),x56691),x56691)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5678,plain,
% 27.19/26.91 (~E(f6(a3,f12(a2,f42(f42(f9(a2),f11(a2,x56781,x56781)),x56782),f12(a2,f12(a2,f42(f42(f9(a2),x56781),x56782),f6(a3,x56783)),f10(a2)))),x56783)),
% 27.19/26.91 inference(rename_variables,[],[4685])).
% 27.19/26.91 cnf(5690,plain,
% 27.19/26.91 (P6(a2,x56901,f12(a2,x56902,f12(a2,f12(a2,x56903,x56901),f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[4384])).
% 27.19/26.91 cnf(5697,plain,
% 27.19/26.91 (P5(a2,x56971,f42(f42(f9(a2),x56971),f42(f42(f9(a2),x56971),x56971)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5698,plain,
% 27.19/26.91 (P5(a2,f5(a2),x56981)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5699,plain,
% 27.19/26.91 (P6(a2,x56991,f12(a2,f12(a2,x56992,x56991),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(5721,plain,
% 27.19/26.91 (P5(a2,x57211,f42(f42(f9(a2),x57211),f42(f42(f9(a2),x57211),x57211)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5722,plain,
% 27.19/26.91 (P5(a2,f5(a2),x57221)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5723,plain,
% 27.19/26.91 (P6(a2,x57231,f12(a2,f12(a2,x57232,x57231),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(5743,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f9(a2),f12(a2,x57431,f10(a2))),f12(a2,x57431,f10(a2))),x57431)),
% 27.19/26.91 inference(rename_variables,[],[4862])).
% 27.19/26.91 cnf(5753,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f9(a2),f12(a2,x57531,f10(a2))),f12(a2,x57531,f10(a2))),x57531)),
% 27.19/26.91 inference(rename_variables,[],[4862])).
% 27.19/26.91 cnf(5757,plain,
% 27.19/26.91 (P5(a2,f5(a2),x57571)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5758,plain,
% 27.19/26.91 (P5(a2,x57581,f42(f42(f9(a2),x57581),f42(f42(f9(a2),x57581),x57581)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5765,plain,
% 27.19/26.91 (~P6(a1,f12(a1,f42(f42(f9(a1),f11(a1,x57651,x57651)),x57652),x57653),x57653)),
% 27.19/26.91 inference(rename_variables,[],[4752])).
% 27.19/26.91 cnf(5775,plain,
% 27.19/26.91 (~P6(a2,f12(a2,x57751,x57752),x57751)),
% 27.19/26.91 inference(rename_variables,[],[556])).
% 27.19/26.91 cnf(5782,plain,
% 27.19/26.91 (~P5(a2,f12(a2,x57821,f10(a2)),x57821)),
% 27.19/26.91 inference(rename_variables,[],[557])).
% 27.19/26.91 cnf(5791,plain,
% 27.19/26.91 (~E(f12(a2,x57911,x57912),f12(a2,x57912,f12(a2,f12(a2,x57913,x57911),f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[4541])).
% 27.19/26.91 cnf(5797,plain,
% 27.19/26.91 (~P6(a1,x57971,x57971)),
% 27.19/26.91 inference(rename_variables,[],[1792])).
% 27.19/26.91 cnf(5809,plain,
% 27.19/26.91 (~P6(a2,f12(a2,x58091,x58092),x58092)),
% 27.19/26.91 inference(rename_variables,[],[555])).
% 27.19/26.91 cnf(5828,plain,
% 27.19/26.91 (P5(a1,x58281,x58281)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5849,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f9(a2),f12(a2,x58491,f10(a2))),f12(a2,x58491,f10(a2))),x58491)),
% 27.19/26.91 inference(rename_variables,[],[4862])).
% 27.19/26.91 cnf(5859,plain,
% 27.19/26.91 (P5(a2,f5(a2),x58591)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5862,plain,
% 27.19/26.91 (P5(a1,f6(a1,f21(a4,x58621)),f21(a4,x58621))),
% 27.19/26.91 inference(rename_variables,[],[452])).
% 27.19/26.91 cnf(5890,plain,
% 27.19/26.91 (~P5(a1,f12(a1,f42(f42(f9(a1),x58901),x58902),f12(a1,f42(f42(f9(a1),f11(a1,x58903,x58901)),x58902),a65)),f12(a1,f42(f42(f9(a1),x58903),x58902),f5(a1)))),
% 27.19/26.91 inference(rename_variables,[],[4758])).
% 27.19/26.91 cnf(5896,plain,
% 27.19/26.91 (~P6(a1,x58961,x58961)),
% 27.19/26.91 inference(rename_variables,[],[1792])).
% 27.19/26.91 cnf(5906,plain,
% 27.19/26.91 (P5(a2,x59061,f42(f42(f9(a2),x59061),f42(f42(f9(a2),x59061),x59061)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5907,plain,
% 27.19/26.91 (P5(a2,f5(a2),x59071)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5910,plain,
% 27.19/26.91 (P5(a2,f5(a2),x59101)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(5915,plain,
% 27.19/26.91 (P5(a1,x59151,x59151)),
% 27.19/26.91 inference(rename_variables,[],[411])).
% 27.19/26.91 cnf(5926,plain,
% 27.19/26.91 (P5(a2,x59261,f12(a2,x59262,x59261))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(5938,plain,
% 27.19/26.91 (~P6(a1,x59381,x59381)),
% 27.19/26.91 inference(rename_variables,[],[1792])).
% 27.19/26.91 cnf(5943,plain,
% 27.19/26.91 (~P6(a2,f12(a2,x59431,x59432),x59432)),
% 27.19/26.91 inference(rename_variables,[],[555])).
% 27.19/26.91 cnf(5958,plain,
% 27.19/26.91 (P5(a2,x59581,f42(f42(f9(a2),x59581),f42(f42(f9(a2),x59581),x59581)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5965,plain,
% 27.19/26.91 (P6(a2,x59651,f12(a2,f12(a2,x59652,x59651),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(5982,plain,
% 27.19/26.91 (P5(a2,x59821,f42(f42(f9(a2),x59821),f42(f42(f9(a2),x59821),x59821)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(5985,plain,
% 27.19/26.91 (P6(a2,x59851,f12(a2,f12(a2,x59852,x59851),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(5998,plain,
% 27.19/26.91 (~E(f42(f42(f22(a2),f12(a2,f12(a2,x59981,f10(a2)),f5(a2))),f12(a2,x59982,f10(a2))),f42(f42(f22(a2),x59981),f12(a2,x59982,f10(a2))))),
% 27.19/26.91 inference(rename_variables,[],[3998])).
% 27.19/26.91 cnf(5999,plain,
% 27.19/26.91 (~P6(a2,f42(f42(f22(a2),x59991),x59992),f42(f42(f22(a2),f5(a2)),x59992))),
% 27.19/26.91 inference(rename_variables,[],[5312])).
% 27.19/26.91 cnf(6007,plain,
% 27.19/26.91 (~P6(a1,x60071,x60071)),
% 27.19/26.91 inference(rename_variables,[],[1792])).
% 27.19/26.91 cnf(6034,plain,
% 27.19/26.91 (P5(a2,x60341,f42(f42(f9(a2),x60341),f42(f42(f9(a2),x60341),x60341)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(6060,plain,
% 27.19/26.91 (P5(a2,x60601,f42(f42(f9(a2),x60601),f42(f42(f9(a2),x60601),x60601)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(6070,plain,
% 27.19/26.91 (P6(a2,x60701,f12(a2,f12(a2,x60702,x60701),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(6075,plain,
% 27.19/26.91 (P5(a2,x60751,f12(a2,x60752,x60751))),
% 27.19/26.91 inference(rename_variables,[],[453])).
% 27.19/26.91 cnf(6084,plain,
% 27.19/26.91 (P6(a2,x60841,f12(a2,f42(f42(f9(a2),x60841),x60841),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[4468])).
% 27.19/26.91 cnf(6096,plain,
% 27.19/26.91 (P5(a2,f5(a2),x60961)),
% 27.19/26.91 inference(rename_variables,[],[424])).
% 27.19/26.91 cnf(6121,plain,
% 27.19/26.91 (P6(a2,x61211,f12(a2,f12(a2,x61212,x61211),f10(a2)))),
% 27.19/26.91 inference(rename_variables,[],[494])).
% 27.19/26.91 cnf(6130,plain,
% 27.19/26.91 (P8(a2,x61301,x61301)),
% 27.19/26.91 inference(rename_variables,[],[414])).
% 27.19/26.91 cnf(6149,plain,
% 27.19/26.91 (~P5(a2,f12(a2,x61491,f12(a2,x61492,f10(a2))),x61492)),
% 27.19/26.91 inference(rename_variables,[],[1807])).
% 27.19/26.91 cnf(6165,plain,
% 27.19/26.91 (P5(a2,x61651,f42(f42(f9(a2),x61651),f42(f42(f9(a2),x61651),x61651)))),
% 27.19/26.91 inference(rename_variables,[],[483])).
% 27.19/26.91 cnf(6248,plain,
% 27.19/26.91 ($false),
% 27.19/26.91 inference(scs_inference,[],[189,1794,288,300,333,361,365,371,396,529,436,502,410,421,489,441,485,482,496,488,519,552,323,1792,5613,5664,5797,5896,5938,6007,238,242,244,253,257,279,351,352,511,452,5862,408,5505,473,417,5600,483,5497,5616,5669,5697,5721,5758,5906,5958,5982,6034,6060,6165,369,438,411,5453,5476,5571,5582,5585,5633,5828,5915,413,5473,5627,5649,414,6130,195,226,255,301,340,424,5540,5698,5722,5757,5859,5907,5910,6096,541,527,453,5624,5926,6075,555,5531,5809,5943,457,426,427,428,543,5522,5610,494,5514,5699,5723,5965,5985,6070,6121,495,471,470,415,246,251,465,521,459,549,5661,368,556,5775,213,224,557,5481,5782,429,412,322,201,282,325,326,349,379,431,319,198,339,346,347,375,228,348,366,367,283,337,329,335,320,534,227,284,374,377,197,330,353,378,318,419,200,229,535,203,338,234,191,199,211,317,434,190,202,328,336,401,420,220,334,418,219,533,432,345,233,4026,3183,5373,5264,5298,5254,2675,5242,3499,4738,4734,4305,4325,3241,3734,3577,4866,4299,2185,4524,3742,4551,5553,3589,5336,3363,2601,5228,4484,4266,4911,5429,3998,5998,4914,4268,2683,4044,4040,4363,4631,2310,1796,5617,5655,4168,4137,3770,4661,4132,5117,4046,4685,5646,5678,5135,3980,1941,2229,3655,3653,4541,5791,4501,2154,3935,4971,2069,4105,5636,2223,5340,5346,4852,3879,4238,4768,3487,2067,4346,2269,5062,4579,5316,5328,2764,5004,3782,5222,1979,5508,2012,4657,5312,5999,3192,2845,3224,3758,4862,5552,5592,5743,5753,5849,5055,4641,4875,4217,4083,5463,5511,5595,4897,4892,4205,4093,4107,2214,4752,5765,4479,1823,1834,2208,2121,2135,1807,6149,4384,5534,5690,4056,4189,4513,4468,6084,3898,4379,3990,5432,4756,2624,4427,4432,4758,5890,2344,2382,3953,4464,5094,5204,5211,3940,5018,2493,4367,4411,4929,4754,3491,4822,2496,4817,4772,4766,3659,3631,4576,5309,2073,1870,2789,2360,2085,1878,3367,2465,3189,3178,3175,3174,3168,3158,1971,2290,1851,3106,5637,2478,3196,1886,1812,5488,5557,3467,3471,5468,2370,2444,3396,3170,3843,2376,2711,3151,3185,1441,1274,708,1003,1754,1627,1523,1674,1697,1550,1724,1153,1546,1536,853,1082,893,1618,1244,918,790,757,1220,1444,1361,1298,937,1498,836,653,1081,1774,1766,1733,1732,1710,1781,1779,1731,887,943,1119,1592,1713,1709,1624,1535,1266,1685,1668,1725,1639,1551,1723,1341,1170,997,1663,1159,837,984,826,1325,1106,1126,1092,730,1767,1702,1548,1547,1735,897,1675,1176,804,1365,1020,1127,1355,891,1151,954,1527,1095,686,683,1235,1186,1257,1312,1087,1764,1617,1652,1677,975,1254,710,1371,731,1401,1658,1655,1678,1301,1010,1289,1577,642,855,881,1115,993,940,877,1192,1681,1296,832,1256,1464,1463,176,1352,1297,665,1586,1358,641,1707,1743,1780,1778,1770,1741,1740,1730,1146,1117,772,1514,1549,1393,1524,1571,1543,1537,1414,1720,1726,828,778,690,977,1299,1172,973,1129,769,1465,1120,1067,1094,1093,638,1002,843,871,870,869,795,1784,1714,1771,1769,1768,1559,1701,1370,1682,1744,1649,1544,1271,1363,834,1637,1278,848,784,1200,1380,1342,1255,1462,825,1209,1366,662,1112,1587,1742,1526,1516,1651,1570,1747,1279,913,1287,1284,1564,976,982,942,926,1018,732,1110,751,890,1765,1149,1249,1374,1329,1528,1659,1413,899,1305,1194,1563,1377,1011,740,1405,1404,1154,1386,907,849,1368,1367,1373,1108,1147,1525,1121,797,983,1311,1579,1402,1322,1080,809,1575,1378,1415,1385,1574,1265,1290,858,1510,11,1184,143,138,134,112,1162,1461,667,1241,1049,661,860,1777,1775,1667,1369,1039,1038,1360,1234,1324,1185,1409,1748,1760,1611,783,938,1343,1131,1042,1041,1406,1335,1223,1240,796,699,1646,896,1288,928,1344,108,1031,1208,1236,1152,912,936,880,712,1017,1475,815]),
% 27.19/26.91 ['proof']).
% 27.19/26.92 % SZS output end Proof
% 27.19/26.92 % Total time :25.380000s
%------------------------------------------------------------------------------