TSTP Solution File: SWW256+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW256+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 : n026.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 00:13:20 EDT 2023
% Result : Theorem 39.29s 39.40s
% Output : CNFRefutation 39.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 17:59:19 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 39.28/39.33 %-------------------------------------------
% 39.28/39.33 % File :CSE---1.6
% 39.28/39.33 % Problem :theBenchmark
% 39.28/39.33 % Transform :cnf
% 39.28/39.33 % Format :tptp:raw
% 39.28/39.33 % Command :java -jar mcs_scs.jar %d %s
% 39.28/39.33
% 39.28/39.33 % Result :Theorem 38.030000s
% 39.28/39.33 % Output :CNFRefutation 38.030000s
% 39.28/39.33 %-------------------------------------------
% 39.28/39.33 %------------------------------------------------------------------------------
% 39.28/39.33 % File : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% 39.28/39.33 % Domain : Software Verification
% 39.28/39.33 % Problem : Fundamental Theorem of Algebra 438374, 1000 axioms selected
% 39.28/39.33 % Version : Especial.
% 39.28/39.33 % English :
% 39.28/39.33
% 39.28/39.33 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 39.28/39.33 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 39.28/39.33 % Source : [Bla11]
% 39.28/39.33 % Names : fta_438374.1000.p [Bla11]
% 39.28/39.33
% 39.28/39.33 % Status : Theorem
% 39.28/39.33 % Rating : 0.58 v8.1.0, 0.53 v7.5.0, 0.50 v7.4.0, 0.57 v7.3.0, 0.69 v7.1.0, 0.61 v7.0.0, 0.60 v6.4.0, 0.62 v6.3.0, 0.58 v6.2.0, 0.72 v6.1.0, 0.80 v6.0.0, 0.74 v5.5.0, 0.78 v5.4.0, 0.79 v5.3.0, 0.89 v5.2.0
% 39.28/39.33 % Syntax : Number of formulae : 1284 ( 373 unt; 0 def)
% 39.28/39.33 % Number of atoms : 3034 ( 813 equ)
% 39.28/39.33 % Maximal formula atoms : 13 ( 2 avg)
% 39.28/39.33 % Number of connectives : 1939 ( 189 ~; 60 |; 107 &)
% 39.28/39.33 % ( 235 <=>;1348 =>; 0 <=; 0 <~>)
% 39.28/39.33 % Maximal formula depth : 13 ( 5 avg)
% 39.28/39.33 % Maximal term depth : 9 ( 2 avg)
% 39.28/39.33 % Number of predicates : 79 ( 78 usr; 0 prp; 1-3 aty)
% 39.28/39.33 % Number of functors : 37 ( 37 usr; 13 con; 0-3 aty)
% 39.28/39.33 % Number of variables : 2821 (2798 !; 23 ?)
% 39.28/39.33 % SPC : FOF_THM_RFO_SEQ
% 39.28/39.33
% 39.28/39.33 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 39.28/39.33 % 2011-03-01 11:56:31
% 39.28/39.33 %------------------------------------------------------------------------------
% 39.28/39.33 %----Relevant facts (996)
% 39.28/39.33 fof(fact_ext,axiom,
% 39.28/39.33 ! [V_g_2,V_f_2] :
% 39.28/39.33 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 39.28/39.33 => V_f_2 = V_g_2 ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_kas_I2_J,axiom,
% 39.28/39.33 v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_kas_I1_J,axiom,
% 39.28/39.33 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_power__Suc,axiom,
% 39.28/39.33 ! [V_n,V_a,T_a] :
% 39.28/39.33 ( class_Power_Opower(T_a)
% 39.28/39.33 => 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)) ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 39.28/39.33 ! [V_q,V_x,T_a] :
% 39.28/39.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.28/39.33 => 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)) ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_power__Suc2,axiom,
% 39.28/39.33 ! [V_n,V_a,T_a] :
% 39.28/39.33 ( class_Groups_Omonoid__mult(T_a)
% 39.28/39.33 => 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) ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 39.28/39.33 ! [V_q,V_x,T_a] :
% 39.28/39.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.28/39.33 => 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)) ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 39.28/39.33 ! [V_q,V_x,T_a] :
% 39.28/39.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.28/39.33 => 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)) ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_power__0__Suc,axiom,
% 39.28/39.33 ! [V_n,T_a] :
% 39.28/39.33 ( ( class_Power_Opower(T_a)
% 39.28/39.33 & class_Rings_Osemiring__0(T_a) )
% 39.28/39.33 => 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) ) ).
% 39.28/39.33
% 39.28/39.33 fof(fact_power__eq__0__iff,axiom,
% 39.28/39.33 ! [V_n_2,V_aa_2,T_a] :
% 39.28/39.33 ( ( class_Power_Opower(T_a)
% 39.28/39.33 & class_Rings_Omult__zero(T_a)
% 39.28/39.33 & class_Rings_Ono__zero__divisors(T_a)
% 39.28/39.33 & class_Rings_Ozero__neq__one(T_a) )
% 39.28/39.33 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.28/39.33 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.28/39.33 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 39.28/39.34
% 39.28/39.34 fof(fact_diff__Suc__Suc,axiom,
% 39.28/39.34 ! [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) ).
% 39.28/39.34
% 39.28/39.34 fof(fact_Suc__diff__diff,axiom,
% 39.28/39.34 ! [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) ).
% 39.28/39.34
% 39.28/39.34 fof(fact_diff__0__eq__0,axiom,
% 39.28/39.34 ! [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) ).
% 39.28/39.34
% 39.28/39.34 fof(fact_minus__nat_Odiff__0,axiom,
% 39.29/39.34 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__cancel2,axiom,
% 39.29/39.34 ! [V_n_2,V_ka_2,V_m_2] :
% 39.29/39.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_ka_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2)
% 39.29/39.34 <=> ( V_m_2 = V_n_2
% 39.29/39.34 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__cancel1,axiom,
% 39.29/39.34 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)
% 39.29/39.34 <=> ( V_m_2 = V_n_2
% 39.29/39.34 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__is__0,axiom,
% 39.29/39.34 ! [V_n_2,V_m_2] :
% 39.29/39.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.34 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.34 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__0__right,axiom,
% 39.29/39.34 ! [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) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__0,axiom,
% 39.29/39.34 ! [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) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 39.29/39.34 ! [V_q,V_p,V_x,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_power__mult,axiom,
% 39.29/39.34 ! [V_n,V_m,V_a,T_a] :
% 39.29/39.34 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Suc__mult__cancel1,axiom,
% 39.29/39.34 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2)
% 39.29/39.34 <=> V_m_2 = V_n_2 ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__mult__distrib,axiom,
% 39.29/39.34 ! [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)) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__mult__distrib2,axiom,
% 39.29/39.34 ! [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)) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 39.29/39.34 ! [V_m_2,V_x_2] :
% 39.29/39.34 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.34 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.34 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_power__Suc__0,axiom,
% 39.29/39.34 ! [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)) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__eq__1__iff,axiom,
% 39.29/39.34 ! [V_n_2,V_m_2] :
% 39.29/39.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.34 <=> ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.34 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 39.29/39.34 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 39.29/39.34 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 39.29/39.34 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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))) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 39.29/39.34 ! [V_rx,V_ly,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 39.29/39.34 ! [V_rx,V_ly,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 39.29/39.34 ! [V_ry,V_rx,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 39.29/39.34 ! [V_ry,V_rx,V_lx,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 39.29/39.34 ! [V_b,V_a,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Suc__inject,axiom,
% 39.29/39.34 ! [V_y,V_x] :
% 39.29/39.34 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y)
% 39.29/39.34 => V_x = V_y ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_nat_Oinject,axiom,
% 39.29/39.34 ! [V_nat_H_2,V_nat_2] :
% 39.29/39.34 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2)
% 39.29/39.34 <=> V_nat_2 = V_nat_H_2 ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Suc__n__not__n,axiom,
% 39.29/39.34 ! [V_n] : c_Nat_OSuc(V_n) != V_n ).
% 39.29/39.34
% 39.29/39.34 fof(fact_n__not__Suc__n,axiom,
% 39.29/39.34 ! [V_n] : V_n != c_Nat_OSuc(V_n) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__commute,axiom,
% 39.29/39.34 ! [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) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 39.29/39.34 ! [V_a,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 39.29/39.34 ! [V_a,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_field__power__not__zero,axiom,
% 39.29/39.34 ! [V_n,V_a,T_a] :
% 39.29/39.34 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 39.29/39.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 39.29/39.34 ! [V_q,V_y,V_x,T_a] :
% 39.29/39.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_power__mult__distrib,axiom,
% 39.29/39.34 ! [V_n,V_b,V_a,T_a] :
% 39.29/39.34 ( class_Groups_Ocomm__monoid__mult(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_power__commutes,axiom,
% 39.29/39.34 ! [V_n,V_a,T_a] :
% 39.29/39.34 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Suc__neq__Zero,axiom,
% 39.29/39.34 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Zero__neq__Suc,axiom,
% 39.29/39.34 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_nat_Osimps_I3_J,axiom,
% 39.29/39.34 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Suc__not__Zero,axiom,
% 39.29/39.34 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_nat_Osimps_I2_J,axiom,
% 39.29/39.34 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_Zero__not__Suc,axiom,
% 39.29/39.34 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diffs0__imp__equal,axiom,
% 39.29/39.34 ! [V_n,V_m] :
% 39.29/39.34 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.34 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.34 => V_m = V_n ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__self__eq__0,axiom,
% 39.29/39.34 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__left_Odiff,axiom,
% 39.29/39.34 ! [V_ya,V_y,V_x,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult_Odiff__left,axiom,
% 39.29/39.34 ! [V_b,V_a_H,V_a,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__right_Odiff,axiom,
% 39.29/39.34 ! [V_y,V_x,V_xa,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult_Odiff__right,axiom,
% 39.29/39.34 ! [V_b_H,V_b,V_a,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_right__minus__eq,axiom,
% 39.29/39.34 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.34 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.34 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 <=> V_aa_2 = V_b_2 ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_eq__iff__diff__eq__0,axiom,
% 39.29/39.34 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.34 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.34 => ( V_aa_2 = V_b_2
% 39.29/39.34 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__self,axiom,
% 39.29/39.34 ! [V_a,T_a] :
% 39.29/39.34 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.34 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__0__right,axiom,
% 39.29/39.34 ! [V_a,T_a] :
% 39.29/39.34 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.34 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_divisors__zero,axiom,
% 39.29/39.34 ! [V_b,V_a,T_a] :
% 39.29/39.34 ( class_Rings_Ono__zero__divisors(T_a)
% 39.29/39.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_no__zero__divisors,axiom,
% 39.29/39.34 ! [V_b,V_a,T_a] :
% 39.29/39.34 ( class_Rings_Ono__zero__divisors(T_a)
% 39.29/39.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__eq__0__iff,axiom,
% 39.29/39.34 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.34 ( class_Rings_Oring__no__zero__divisors(T_a)
% 39.29/39.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.34 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__right_Ozero,axiom,
% 39.29/39.34 ! [V_x,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_nat__mult__commute,axiom,
% 39.29/39.34 ! [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) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_nat__mult__assoc,axiom,
% 39.29/39.34 ! [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)) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_zero__reorient,axiom,
% 39.29/39.34 ! [V_x_2,T_a] :
% 39.29/39.34 ( class_Groups_Ozero(T_a)
% 39.29/39.34 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 39.29/39.34 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 39.29/39.34 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.34 ( class_Groups_Oab__semigroup__mult(T_a)
% 39.29/39.34 => 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)) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_diff__eq__diff__eq,axiom,
% 39.29/39.34 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 39.29/39.34 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.34 => ( 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)
% 39.29/39.34 => ( V_aa_2 = V_b_2
% 39.29/39.34 <=> V_ca_2 = V_d_2 ) ) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__zero__left,axiom,
% 39.29/39.34 ! [V_a,T_a] :
% 39.29/39.34 ( class_Rings_Omult__zero(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult_Ozero__left,axiom,
% 39.29/39.34 ! [V_b,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.34 => 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) ) ).
% 39.29/39.34
% 39.29/39.34 fof(fact_mult__left_Ozero,axiom,
% 39.29/39.34 ! [V_y,T_a] :
% 39.29/39.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.35 => 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) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_mult__zero__right,axiom,
% 39.29/39.35 ! [V_a,T_a] :
% 39.29/39.35 ( class_Rings_Omult__zero(T_a)
% 39.29/39.35 => 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) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_mult_Ozero__right,axiom,
% 39.29/39.35 ! [V_a,T_a] :
% 39.29/39.35 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.35 => 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) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 39.29/39.35 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.35 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)
% 39.29/39.35 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.35 | V_m_2 = V_n_2 ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__eq__if,axiom,
% 39.29/39.35 ! [V_p,V_m] :
% 39.29/39.35 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.35 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 39.29/39.35 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.35 => 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)))) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_realpow__two__diff,axiom,
% 39.29/39.35 ! [V_y,V_x,T_a] :
% 39.29/39.35 ( class_Rings_Ocomm__ring__1(T_a)
% 39.29/39.35 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),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),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zpower__zpower,axiom,
% 39.29/39.35 ! [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)) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_nat__one__le__power,axiom,
% 39.29/39.35 ! [V_n,V_i] :
% 39.29/39.35 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_minus__apply,axiom,
% 39.29/39.35 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 39.29/39.35 ( class_Groups_Ominus(T_a)
% 39.29/39.35 => 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)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_times_Oidem,axiom,
% 39.29/39.35 ! [V_a,T_a] :
% 39.29/39.35 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 39.29/39.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_mult__idem,axiom,
% 39.29/39.35 ! [V_x,T_a] :
% 39.29/39.35 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 39.29/39.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_mult__left__idem,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 39.29/39.35 => 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) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_Suc__pred,axiom,
% 39.29/39.35 ! [V_n] :
% 39.29/39.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.35 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_less__zeroE,axiom,
% 39.29/39.35 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_Suc__mono,axiom,
% 39.29/39.35 ! [V_n,V_m] :
% 39.29/39.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.35 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_lessI,axiom,
% 39.29/39.35 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_le0,axiom,
% 39.29/39.35 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zero__less__Suc,axiom,
% 39.29/39.35 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_not__one__less__zero,axiom,
% 39.29/39.35 ! [T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_not__one__le__zero,axiom,
% 39.29/39.35 ! [T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zero__less__one,axiom,
% 39.29/39.35 ! [T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zero__le__one,axiom,
% 39.29/39.35 ! [T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zero__less__two,axiom,
% 39.29/39.35 ! [T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => 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))) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 39.29/39.35 ! [V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 39.29/39.35 ! [V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_zpower__zadd__distrib,axiom,
% 39.29/39.35 ! [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)) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 39.29/39.35 ! [V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 39.29/39.35 ! [V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__strict__increasing__iff,axiom,
% 39.29/39.35 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__increasing__iff,axiom,
% 39.29/39.35 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_less__1__mult,axiom,
% 39.29/39.35 ! [V_n,V_m,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__pos__pos,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__pos__nonneg,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__nonneg__pos,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__nonneg__nonneg,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__nonneg__eq__0__iff,axiom,
% 39.29/39.35 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 39.29/39.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.35 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.35 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_pos__add__strict,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__strict__increasing,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__strict__increasing2,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__increasing,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__increasing2,axiom,
% 39.29/39.35 ! [V_a,V_b,V_c,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__less__imp__less__exp,axiom,
% 39.29/39.35 ! [V_n,V_m,V_a,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__le__imp__le__exp,axiom,
% 39.29/39.35 ! [V_n,V_m,V_a,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__neg__neg,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__neg__nonpos,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__nonpos__neg,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__nonpos__nonpos,axiom,
% 39.29/39.35 ! [V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_nat__less__add__iff2,axiom,
% 39.29/39.35 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 39.29/39.35 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 39.29/39.35 => ( 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_m_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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_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)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_nat__less__add__iff1,axiom,
% 39.29/39.35 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 39.29/39.35 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 39.29/39.35 => ( 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_m_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))
% 39.29/39.35 <=> 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_m_2),V_n_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__strict__increasing,axiom,
% 39.29/39.35 ! [V_a,V_N,V_n,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_power__increasing,axiom,
% 39.29/39.35 ! [V_a,V_N,V_n,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_convex__bound__lt,axiom,
% 39.29/39.35 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 39.29/39.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 39.29/39.35 => 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) ) ) ) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__le__imp__le__left,axiom,
% 39.29/39.35 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__le__imp__le__right,axiom,
% 39.29/39.35 ! [V_b,V_c,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__less__imp__less__left,axiom,
% 39.29/39.35 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__less__imp__less__right,axiom,
% 39.29/39.35 ! [V_b,V_c,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__right__imp__eq,axiom,
% 39.29/39.35 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.35 ( class_Groups_Ocancel__semigroup__add(T_a)
% 39.29/39.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 39.29/39.35 => V_b = V_c ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__imp__eq,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 39.29/39.35 => V_b = V_c ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__left__imp__eq,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Ocancel__semigroup__add(T_a)
% 39.29/39.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 39.29/39.35 => V_b = V_c ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__mono,axiom,
% 39.29/39.35 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__le__less__mono,axiom,
% 39.29/39.35 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__less__le__mono,axiom,
% 39.29/39.35 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__strict__mono,axiom,
% 39.29/39.35 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 39.29/39.35 => 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)) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__left__mono,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.35 => 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)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__right__mono,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.35 => 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)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__strict__left__mono,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.35 => 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)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__strict__right__mono,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 39.29/39.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.35 => 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)) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_linorder__neqE__linordered__idom,axiom,
% 39.29/39.35 ! [V_y,V_x,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__idom(T_a)
% 39.29/39.35 => ( V_x != V_y
% 39.29/39.35 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.35 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__le__cancel__left,axiom,
% 39.29/39.35 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__le__cancel__right,axiom,
% 39.29/39.35 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__less__cancel__left,axiom,
% 39.29/39.35 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__less__cancel__right,axiom,
% 39.29/39.35 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 39.29/39.35 => ( 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))
% 39.29/39.35 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__right__cancel,axiom,
% 39.29/39.35 ! [V_ca_2,V_aa_2,V_b_2,T_a] :
% 39.29/39.35 ( class_Groups_Ocancel__semigroup__add(T_a)
% 39.29/39.35 => ( 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)
% 39.29/39.35 <=> V_b_2 = V_ca_2 ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_add__left__cancel,axiom,
% 39.29/39.35 ! [V_ca_2,V_b_2,V_aa_2,T_a] :
% 39.29/39.35 ( class_Groups_Ocancel__semigroup__add(T_a)
% 39.29/39.35 => ( 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)
% 39.29/39.35 <=> V_b_2 = V_ca_2 ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 39.29/39.35 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.35 ( class_Groups_Oab__semigroup__add(T_a)
% 39.29/39.35 => 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)) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_one__reorient,axiom,
% 39.29/39.35 ! [V_x_2,T_a] :
% 39.29/39.35 ( class_Groups_Oone(T_a)
% 39.29/39.35 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 39.29/39.35 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 39.29/39.35
% 39.29/39.35 fof(fact_less__add__one,axiom,
% 39.29/39.35 ! [V_a,T_a] :
% 39.29/39.35 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.35 => 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))) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 39.29/39.36 ! [V_m,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 39.29/39.36 ! [V_a,V_m,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 39.29/39.36 ! [V_m,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__less__cases,axiom,
% 39.29/39.36 ! [V_P_2,V_n_2,V_m_2] :
% 39.29/39.36 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 39.29/39.36 => ( ( V_m_2 = V_n_2
% 39.29/39.36 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 39.29/39.36 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 39.29/39.36 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 39.29/39.36 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__or__eq__imp__le,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 | V_m = V_n )
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__leE,axiom,
% 39.29/39.36 ! [V_n,V_k,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 39.29/39.36 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__leD1,axiom,
% 39.29/39.36 ! [V_n,V_k,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__leD2,axiom,
% 39.29/39.36 ! [V_n,V_k,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__lessD1,axiom,
% 39.29/39.36 ! [V_k,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__add__eq__less,axiom,
% 39.29/39.36 ! [V_n,V_m,V_l,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 39.29/39.36 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__le__mono,axiom,
% 39.29/39.36 ! [V_l,V_k,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 39.29/39.36 => 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__less__mono,axiom,
% 39.29/39.36 ! [V_l,V_k,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 39.29/39.36 => 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__antisym,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 39.29/39.36 => V_m = V_n ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__trans,axiom,
% 39.29/39.36 ! [V_k,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__neq__implies__less,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => ( V_m != V_n
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__le__mono1,axiom,
% 39.29/39.36 ! [V_k,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__less__mono1,axiom,
% 39.29/39.36 ! [V_k,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_trans__le__add2,axiom,
% 39.29/39.36 ! [V_m,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_trans__le__add1,axiom,
% 39.29/39.36 ! [V_m,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_trans__less__add2,axiom,
% 39.29/39.36 ! [V_m,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_trans__less__add1,axiom,
% 39.29/39.36 ! [V_m,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__imp__le__nat,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_eq__imp__le,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( V_m = V_n
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__not__refl3,axiom,
% 39.29/39.36 ! [V_t,V_s] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 39.29/39.36 => V_s != V_t ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__not__refl2,axiom,
% 39.29/39.36 ! [V_m,V_n] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 39.29/39.36 => V_m != V_n ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__irrefl__nat,axiom,
% 39.29/39.36 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_linorder__neqE__nat,axiom,
% 39.29/39.36 ! [V_y,V_x] :
% 39.29/39.36 ( V_x != V_y
% 39.29/39.36 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 39.29/39.36 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__add__left__cancel__le,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__add__left__cancel__less,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 39.29/39.36 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 39.29/39.36 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_even__less__0__iff,axiom,
% 39.29/39.36 ! [V_aa_2,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__idom(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 39.29/39.36 ! [V_d,V_c,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 39.29/39.36 ! [V_d,V_c,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__eq__less__or__eq,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 | V_m_2 = V_n_2 ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__less__le,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 & V_m_2 != V_n_2 ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__le__linear,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 39.29/39.36 ! [V_c,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__iff__add,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__neq__iff,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( V_m_2 != V_n_2
% 39.29/39.36 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add1,axiom,
% 39.29/39.36 ! [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)) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add2,axiom,
% 39.29/39.36 ! [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)) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__refl,axiom,
% 39.29/39.36 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_not__add__less2,axiom,
% 39.29/39.36 ! [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) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_not__add__less1,axiom,
% 39.29/39.36 ! [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) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__not__refl,axiom,
% 39.29/39.36 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__inject__exp,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_aa_2,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2)
% 39.29/39.36 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)
% 39.29/39.36 <=> V_m_2 = V_n_2 ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__gr__0,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( 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_m_2,V_n_2))
% 39.29/39.36 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 39.29/39.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_one__le__power,axiom,
% 39.29/39.36 ! [V_n,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.36 => 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__add__Suc1,axiom,
% 39.29/39.36 ! [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))) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__add__Suc2,axiom,
% 39.29/39.36 ! [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))) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__iff__Suc__add,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 <=> ? [B_k] : V_n_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__eq__Suc__le,axiom,
% 39.29/39.36 ! [V_m_2,V_n_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_m_2) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__Suc__eq__le,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_Suc__le__eq,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m_2),V_n_2)
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__imp__less__Suc,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_Suc__leI,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__less__Suc__eq,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2))
% 39.29/39.36 <=> V_n_2 = V_m_2 ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_Suc__le__lessD,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_Suc__eq__plus1__left,axiom,
% 39.29/39.36 ! [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) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_Suc__eq__plus1,axiom,
% 39.29/39.36 ! [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)) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__diff__conv,axiom,
% 39.29/39.36 ! [V_ka_2,V_j_2,V_i_2] :
% 39.29/39.36 ( 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))
% 39.29/39.36 <=> 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__diff__inverse,axiom,
% 39.29/39.36 ! [V_n,V_m] :
% 39.29/39.36 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_diff__diff__right,axiom,
% 39.29/39.36 ! [V_i,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__diff__conv,axiom,
% 39.29/39.36 ! [V_i_2,V_ka_2,V_j_2] :
% 39.29/39.36 ( 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)
% 39.29/39.36 <=> 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add__diff,axiom,
% 39.29/39.36 ! [V_m,V_n,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add__diff__inverse,axiom,
% 39.29/39.36 ! [V_m,V_n] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__diff__assoc,axiom,
% 39.29/39.36 ! [V_i,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__diff__conv2,axiom,
% 39.29/39.36 ! [V_i_2,V_j_2,V_ka_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_j_2)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> 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) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add__diff__inverse2,axiom,
% 39.29/39.36 ! [V_m,V_n] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__imp__diff__is__add,axiom,
% 39.29/39.36 ! [V_ka_2,V_j_2,V_i_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 39.29/39.36 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_ka_2
% 39.29/39.36 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_i_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_diff__add__assoc,axiom,
% 39.29/39.36 ! [V_i,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__diff__assoc2,axiom,
% 39.29/39.36 ! [V_i,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_diff__add__assoc2,axiom,
% 39.29/39.36 ! [V_i,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_diff__less__mono,axiom,
% 39.29/39.36 ! [V_c,V_b,V_a] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 39.29/39.36 => 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__diff__iff,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_m_2)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_double__eq__0__iff,axiom,
% 39.29/39.36 ! [V_aa_2,T_a] :
% 39.29/39.36 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.36 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.36 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_convex__bound__le,axiom,
% 39.29/39.36 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__1(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 39.29/39.36 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 39.29/39.36 => 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) ) ) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__strict__decreasing,axiom,
% 39.29/39.36 ! [V_a,V_N,V_n,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.36 => 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)) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__decreasing,axiom,
% 39.29/39.36 ! [V_a,V_N,V_n,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.36 => 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)) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_one__less__power,axiom,
% 39.29/39.36 ! [V_n,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.36 => 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)) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_left__add__mult__distrib,axiom,
% 39.29/39.36 ! [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) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_real__squared__diff__one__factored,axiom,
% 39.29/39.36 ! [V_x,T_a] :
% 39.29/39.36 ( class_Rings_Oring__1(T_a)
% 39.29/39.36 => 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))) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__mult__le__cancel1,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__le__add__iff1,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 39.29/39.36 => ( 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_m_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))
% 39.29/39.36 <=> 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_m_2),V_n_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__diff__add__eq1,axiom,
% 39.29/39.36 ! [V_n,V_m,V_u,V_i,V_j] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__eq__add__iff1,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 39.29/39.36 => ( 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_m_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)
% 39.29/39.36 <=> 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_m_2) = V_n_2 ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__le__add__iff2,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 39.29/39.36 => ( 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_m_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))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__diff__add__eq2,axiom,
% 39.29/39.36 ! [V_n,V_m,V_u,V_j,V_i] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__eq__add__iff2,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 39.29/39.36 => ( 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_m_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)
% 39.29/39.36 <=> V_m_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) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__strict__mono,axiom,
% 39.29/39.36 ! [V_n,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.36 => 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)) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_sum__squares__gt__zero__iff,axiom,
% 39.29/39.36 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.36 => ( 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)))
% 39.29/39.36 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.36 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_not__sum__squares__lt__zero,axiom,
% 39.29/39.36 ! [V_y,V_x,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__ring(T_a)
% 39.29/39.36 => ~ 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_sum__squares__le__zero__iff,axiom,
% 39.29/39.36 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.36 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_sum__squares__ge__zero,axiom,
% 39.29/39.36 ! [V_y,V_x,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__ring(T_a)
% 39.29/39.36 => 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))) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__left__le__imp__le,axiom,
% 39.29/39.36 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__right__le__imp__le,axiom,
% 39.29/39.36 ! [V_b,V_c,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__less__imp__less__left,axiom,
% 39.29/39.36 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__left__less__imp__less,axiom,
% 39.29/39.36 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__less__imp__less__right,axiom,
% 39.29/39.36 ! [V_b,V_c,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__right__less__imp__less,axiom,
% 39.29/39.36 ! [V_b,V_c,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__le__less__imp__less,axiom,
% 39.29/39.36 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => 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)) ) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__less__le__imp__less,axiom,
% 39.29/39.36 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => 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)) ) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__strict__mono_H,axiom,
% 39.29/39.36 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => 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)) ) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__strict__mono,axiom,
% 39.29/39.36 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.36 => 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)) ) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__le__cancel__left__neg,axiom,
% 39.29/39.36 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__le__cancel__left__pos,axiom,
% 39.29/39.36 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__add__iff1,axiom,
% 39.29/39.36 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 39.29/39.36 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> 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) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_less__add__iff2,axiom,
% 39.29/39.36 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 39.29/39.36 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__left__le__one__le,axiom,
% 39.29/39.36 ! [V_y,V_x,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__idom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__right__le__one__le,axiom,
% 39.29/39.36 ! [V_y,V_x,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__idom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add__iff1,axiom,
% 39.29/39.36 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 39.29/39.36 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> 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) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_le__add__iff2,axiom,
% 39.29/39.36 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 39.29/39.36 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 <=> 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__less__imp__less__base,axiom,
% 39.29/39.36 ! [V_b,V_n,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( 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))
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.36 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__less__power__Suc,axiom,
% 39.29/39.36 ! [V_n,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.36 => 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))) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__gt1__lemma,axiom,
% 39.29/39.36 ! [V_n,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.36 => 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))) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_power__gt1,axiom,
% 39.29/39.36 ! [V_n,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 39.29/39.36 => 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))) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__diff__split,axiom,
% 39.29/39.36 ! [V_b_2,V_aa_2,V_P_2] :
% 39.29/39.36 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 39.29/39.36 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 39.29/39.36 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 39.29/39.36 & ! [B_d] :
% 39.29/39.36 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 39.29/39.36 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_nat__diff__split__asm,axiom,
% 39.29/39.36 ! [V_b_2,V_aa_2,V_P_2] :
% 39.29/39.36 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 39.29/39.36 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 39.29/39.36 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 39.29/39.36 | ? [B_d] :
% 39.29/39.36 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 39.29/39.36 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__le__cancel1,axiom,
% 39.29/39.36 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 39.29/39.36 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_mult__le__cancel2,axiom,
% 39.29/39.36 ! [V_n_2,V_ka_2,V_m_2] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2))
% 39.29/39.36 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_diff__Suc__diff__eq2,axiom,
% 39.29/39.36 ! [V_m,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)),V_m) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_j),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_diff__Suc__diff__eq1,axiom,
% 39.29/39.36 ! [V_m,V_j,V_k] :
% 39.29/39.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 39.29/39.36 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(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_m,V_k),c_Nat_OSuc(V_j)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_realpow__Suc__le__self,axiom,
% 39.29/39.36 ! [V_n,V_r,T_a] :
% 39.29/39.36 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r)
% 39.29/39.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_r,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.36 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_r),c_Nat_OSuc(V_n)),V_r) ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__0__iff,axiom,
% 39.29/39.36 ! [V_aa_2,V_b_2,T_a] :
% 39.29/39.36 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 39.29/39.36 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2)
% 39.29/39.36 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 39.29/39.36 ! [V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 39.29/39.36 ! [V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add_Ocomm__neutral,axiom,
% 39.29/39.36 ! [V_a,T_a] :
% 39.29/39.36 ( class_Groups_Ocomm__monoid__add(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__0__right,axiom,
% 39.29/39.36 ! [V_a,T_a] :
% 39.29/39.36 ( class_Groups_Omonoid__add(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_double__zero__sym,axiom,
% 39.29/39.36 ! [V_aa_2,T_a] :
% 39.29/39.36 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.36 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)
% 39.29/39.36 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__0,axiom,
% 39.29/39.36 ! [V_a,T_a] :
% 39.29/39.36 ( class_Groups_Ocomm__monoid__add(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_add__0__left,axiom,
% 39.29/39.36 ! [V_a,T_a] :
% 39.29/39.36 ( class_Groups_Omonoid__add(T_a)
% 39.29/39.36 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_crossproduct__eq,axiom,
% 39.29/39.36 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] :
% 39.29/39.36 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 39.29/39.36 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_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_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 39.29/39.36 <=> ( V_w_2 = V_x_2
% 39.29/39.36 | V_y_2 = V_z_2 ) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 39.29/39.36 ! [V_b,V_m,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 39.29/39.36 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.36 => 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)) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_crossproduct__noteq,axiom,
% 39.29/39.36 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 39.29/39.36 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 39.29/39.36 => ( ( V_aa_2 != V_b_2
% 39.29/39.36 & V_ca_2 != V_d_2 )
% 39.29/39.36 <=> 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)) ) ) ).
% 39.29/39.36
% 39.29/39.36 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 39.29/39.36 ! [V_z,V_y,V_x,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_combine__common__factor,axiom,
% 39.29/39.37 ! [V_c,V_b,V_e,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Osemiring(T_a)
% 39.29/39.37 => 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) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__left_Oadd,axiom,
% 39.29/39.37 ! [V_ya,V_y,V_x,T_a] :
% 39.29/39.37 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult_Oadd__left,axiom,
% 39.29/39.37 ! [V_b,V_a_H,V_a,T_a] :
% 39.29/39.37 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__semiring__class_Odistrib,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__right_Oadd,axiom,
% 39.29/39.37 ! [V_y,V_x,V_xa,T_a] :
% 39.29/39.37 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult_Oadd__right,axiom,
% 39.29/39.37 ! [V_b_H,V_b,V_a,T_a] :
% 39.29/39.37 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__diff__cancel,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.37 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__add__cancel,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.37 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__neq__one,axiom,
% 39.29/39.37 ! [T_a] :
% 39.29/39.37 ( class_Rings_Ozero__neq__one(T_a)
% 39.29/39.37 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_one__neq__zero,axiom,
% 39.29/39.37 ! [T_a] :
% 39.29/39.37 ( class_Rings_Ozero__neq__one(T_a)
% 39.29/39.37 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__eq__diff__less,axiom,
% 39.29/39.37 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.37 => ( 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)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult_Ocomm__neutral,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Groups_Ocomm__monoid__mult(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__1__right,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__1,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Groups_Ocomm__monoid__mult(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__1__left,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__eq__diff__less__eq,axiom,
% 39.29/39.37 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.37 => ( 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)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__eq__self__zero,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 39.29/39.37 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__is__0,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Nat_Oadd__0__right,axiom,
% 39.29/39.37 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 39.29/39.37
% 39.29/39.37 fof(fact_plus__nat_Oadd__0,axiom,
% 39.29/39.37 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__Suc__shift,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__Suc,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__Suc__right,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__one,axiom,
% 39.29/39.37 ! [V_n,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => 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) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_gr0I,axiom,
% 39.29/39.37 ! [V_n] :
% 39.29/39.37 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_gr__implies__not0,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__nat__zero__code,axiom,
% 39.29/39.37 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_neq0__conv,axiom,
% 39.29/39.37 ! [V_n_2] :
% 39.29/39.37 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_not__less0,axiom,
% 39.29/39.37 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__0__eq,axiom,
% 39.29/39.37 ! [V_n_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.37 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 39.29/39.37 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__less__SucD,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__lessD,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__SucE,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => V_m = V_n ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__trans__Suc,axiom,
% 39.29/39.37 ! [V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__lessI,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => ( c_Nat_OSuc(V_m) != V_n
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__SucI,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__antisym,axiom,
% 39.29/39.37 ! [V_m,V_n] :
% 39.29/39.37 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))
% 39.29/39.37 => V_m = V_n ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_not__less__less__Suc__eq,axiom,
% 39.29/39.37 ! [V_m_2,V_n_2] :
% 39.29/39.37 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2))
% 39.29/39.37 <=> V_n_2 = V_m_2 ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__less__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m_2),c_Nat_OSuc(V_n_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__Suc__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.37 | V_m_2 = V_n_2 ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_not__less__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__leD,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__SucE,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => V_m = c_Nat_OSuc(V_n) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__SucI,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__le__mono,axiom,
% 39.29/39.37 ! [V_m_2,V_n_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_m_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__Suc__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.37 | V_m_2 = c_Nat_OSuc(V_n_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_not__less__eq__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_m_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__n__not__le__n,axiom,
% 39.29/39.37 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__mult__distrib,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__mult__distrib2,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__cancel2,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__cancel,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__diff__left,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__add__inverse,axiom,
% 39.29/39.37 ! [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 ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__add__inverse2,axiom,
% 39.29/39.37 ! [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 ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 39.29/39.37 ! [V_x,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__one__right,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__le__mono,axiom,
% 39.29/39.37 ! [V_l,V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__le__mono2,axiom,
% 39.29/39.37 ! [V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__le__mono1,axiom,
% 39.29/39.37 ! [V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__cube,axiom,
% 39.29/39.37 ! [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))) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__square,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__less__mono2,axiom,
% 39.29/39.37 ! [V_l,V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__imp__diff__less,axiom,
% 39.29/39.37 ! [V_n,V_k,V_j] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__diff__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_m_2)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Nat_Odiff__diff__eq,axiom,
% 39.29/39.37 ! [V_n,V_m,V_k] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 39.29/39.37 => 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) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_eq__diff__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_m_2)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 39.29/39.37 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_ka_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2)
% 39.29/39.37 <=> V_m_2 = V_n_2 ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__diff__cancel,axiom,
% 39.29/39.37 ! [V_n,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 39.29/39.37 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__le__mono,axiom,
% 39.29/39.37 ! [V_l,V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__le__mono2,axiom,
% 39.29/39.37 ! [V_l,V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__le__self,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__mult__eq__1__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 39.29/39.37 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 39.29/39.37 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__mult__1__right,axiom,
% 39.29/39.37 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__1__eq__mult__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 39.29/39.37 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 39.29/39.37 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__mult__1,axiom,
% 39.29/39.37 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__diff__mult,axiom,
% 39.29/39.37 ! [V_b,V_a,V_y,V_x,T_a] :
% 39.29/39.37 ( class_Rings_Oring(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__mult__eq__cancel1,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.37 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)
% 39.29/39.37 <=> V_m_2 = V_n_2 ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__mult__less__cancel1,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__Suc__less,axiom,
% 39.29/39.37 ! [V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__Suc__less__one,axiom,
% 39.29/39.37 ! [V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__eq__imp__eq__base,axiom,
% 39.29/39.37 ! [V_b,V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( 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)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.37 => V_a = V_b ) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__eq__if,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_n )
% 39.29/39.37 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__diff__1,axiom,
% 39.29/39.37 ! [V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.37 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__pred_H,axiom,
% 39.29/39.37 ! [V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.37 => V_n = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__eq__if,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 39.29/39.37 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_realpow__minus__mult,axiom,
% 39.29/39.37 ! [V_x,V_n,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.37 => 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) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__scale__eq__noteq,axiom,
% 39.29/39.37 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 39.29/39.37 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 39.29/39.37 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.37 => ( ( V_a = V_b
% 39.29/39.37 & V_c != V_d )
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_sum__squares__eq__zero__iff,axiom,
% 39.29/39.37 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( 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)
% 39.29/39.37 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.37 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_eq__add__iff1,axiom,
% 39.29/39.37 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Rings_Oring(T_a)
% 39.29/39.37 => ( 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)
% 39.29/39.37 <=> 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 ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_eq__add__iff2,axiom,
% 39.29/39.37 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Rings_Oring(T_a)
% 39.29/39.37 => ( 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)
% 39.29/39.37 <=> 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) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult_Oprod__diff__prod,axiom,
% 39.29/39.37 ! [V_b,V_a,V_y,V_x,T_a] :
% 39.29/39.37 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.37 => 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))) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__strict__left__mono__neg,axiom,
% 39.29/39.37 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__strict__right__mono__neg,axiom,
% 39.29/39.37 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__mult__strict__left__mono,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__strict__left__mono,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__strict__right__mono,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__neg__neg,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__neg__pos,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__cancel__left__neg,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => ( 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))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__less__mult__pos2,axiom,
% 39.29/39.37 ! [V_a,V_b,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__less__mult__pos,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__pos__neg2,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__pos__neg,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__pos__pos,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semiring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__cancel__left__pos,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 39.29/39.37 => ( 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))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__cancel__left__disj,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 39.29/39.37 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__cancel__right__disj,axiom,
% 39.29/39.37 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 39.29/39.37 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_not__square__less__zero,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring(T_a)
% 39.29/39.37 => ~ 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__iff__diff__less__0,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 39.29/39.37 <=> 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_split__mult__neg__le,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__cancel__semiring(T_a)
% 39.29/39.37 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 39.29/39.37 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_split__mult__pos__le,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.37 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 39.29/39.37 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__mono,axiom,
% 39.29/39.37 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__mono_H,axiom,
% 39.29/39.37 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__left__mono__neg,axiom,
% 39.29/39.37 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__right__mono__neg,axiom,
% 39.29/39.37 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__mult__left__mono,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__comm__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__left__mono,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__right__mono,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__nonpos__nonpos,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__ring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__nonpos__nonneg,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__cancel__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__nonneg__nonpos2,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__cancel__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__nonneg__nonpos,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__cancel__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__nonneg__nonneg,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Oordered__cancel__semiring(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__le__0__iff,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 39.29/39.37 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__le__mult__iff,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring__strict(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 39.29/39.37 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__le__square,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__ring(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__less__power,axiom,
% 39.29/39.37 ! [V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__iff__diff__le__0,axiom,
% 39.29/39.37 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.37 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 39.29/39.37 <=> 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__mono,axiom,
% 39.29/39.37 ! [V_n,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => 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)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__le__power,axiom,
% 39.29/39.37 ! [V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 39.29/39.37 ! [V_q,V_p,V_x,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__add,axiom,
% 39.29/39.37 ! [V_n,V_m,V_a,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_add__is__1,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.37 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.37 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 39.29/39.37 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_one__is__add,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2)
% 39.29/39.37 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 39.29/39.37 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 39.29/39.37 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 39.29/39.37 ! [V_x,T_a] :
% 39.29/39.37 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.37 => 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) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__0,axiom,
% 39.29/39.37 ! [V_a,T_a] :
% 39.29/39.37 ( class_Power_Opower(T_a)
% 39.29/39.37 => 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) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__Suc__eq__0__disj,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 39.29/39.37 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 | ? [B_j] :
% 39.29/39.37 ( V_m_2 = c_Nat_OSuc(B_j)
% 39.29/39.37 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__Suc0,axiom,
% 39.29/39.37 ! [V_n_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 39.29/39.37 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_gr0__conv__Suc,axiom,
% 39.29/39.37 ! [V_n_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 39.29/39.37 <=> ? [B_m] : V_n_2 = c_Nat_OSuc(B_m) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__add__0,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__Suc__right,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__Suc,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__0__less__mult__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( 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_m_2),V_n_2))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__cancel1,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__cancel2,axiom,
% 39.29/39.37 ! [V_n_2,V_ka_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__mono1,axiom,
% 39.29/39.37 ! [V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__less__mono2,axiom,
% 39.29/39.37 ! [V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__less,axiom,
% 39.29/39.37 ! [V_m,V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__less__diff,axiom,
% 39.29/39.37 ! [V_m_2,V_n_2] :
% 39.29/39.37 ( 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_m_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__is__0__eq_H,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.37 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__is__0__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__mult__less__cancel1,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( 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_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__mult__le__cancel1,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( 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_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2))
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_One__nat__def,axiom,
% 39.29/39.37 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__less__Suc,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Suc__diff__le,axiom,
% 39.29/39.37 ! [V_m,V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_mult__eq__self__implies__10,axiom,
% 39.29/39.37 ! [V_n,V_m] :
% 39.29/39.37 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 39.29/39.37 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 39.29/39.37 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__Suc__1,axiom,
% 39.29/39.37 ! [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 ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__zero__less__power__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_x_2] :
% 39.29/39.37 ( 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))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)
% 39.29/39.37 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__power__less__imp__less,axiom,
% 39.29/39.37 ! [V_n,V_m,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 39.29/39.37 => ( 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))
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__inject__base,axiom,
% 39.29/39.37 ! [V_b,V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( 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))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => V_a = V_b ) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__le__imp__le__base,axiom,
% 39.29/39.37 ! [V_b,V_n,V_a,T_a] :
% 39.29/39.37 ( class_Rings_Olinordered__semidom(T_a)
% 39.29/39.37 => ( 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)))
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__0__left,axiom,
% 39.29/39.37 ! [V_n,T_a] :
% 39.29/39.37 ( ( class_Power_Opower(T_a)
% 39.29/39.37 & class_Rings_Osemiring__0(T_a) )
% 39.29/39.37 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => 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) )
% 39.29/39.37 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => 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) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_one__less__mult,axiom,
% 39.29/39.37 ! [V_m,V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_n__less__n__mult__m,axiom,
% 39.29/39.37 ! [V_m,V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_n__less__m__mult__n,axiom,
% 39.29/39.37 ! [V_m,V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_one__le__mult__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless__eq(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_2),V_n_2))
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_diff__Suc__less,axiom,
% 39.29/39.37 ! [V_i,V_n] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(V_i)),V_n) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_realpow__num__eq__if,axiom,
% 39.29/39.37 ! [V_m,V_n,T_a] :
% 39.29/39.37 ( class_Power_Opower(T_a)
% 39.29/39.37 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 39.29/39.37 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 => 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)))) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_lemma__realpow__diff,axiom,
% 39.29/39.37 ! [V_y,V_n,V_p,T_a] :
% 39.29/39.37 ( class_Groups_Omonoid__mult(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_p,V_n)
% 39.29/39.37 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),V_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_p))),V_y) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zero__less__power__nat__eq,axiom,
% 39.29/39.37 ! [V_n_2,V_x_2] :
% 39.29/39.37 ( 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))
% 39.29/39.37 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__lt__two__imp__zero__or__one,axiom,
% 39.29/39.37 ! [V_x] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 39.29/39.37 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.37 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__refl,axiom,
% 39.29/39.37 ! [V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power__power__power,axiom,
% 39.29/39.37 ! [T_a] :
% 39.29/39.37 ( class_Power_Opower(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_termination__basic__simps_I5_J,axiom,
% 39.29/39.37 ! [V_y,V_x] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_Deriv_Oadd__diff__add,axiom,
% 39.29/39.37 ! [V_d,V_b,V_c,V_a,T_a] :
% 39.29/39.37 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.37 => 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)) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__not__less,axiom,
% 39.29/39.37 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__not__le,axiom,
% 39.29/39.37 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.37 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zmult__1,axiom,
% 39.29/39.37 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zmult__1__right,axiom,
% 39.29/39.37 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zmult__commute,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zadd__zmult__distrib2,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zdiff__zmult__distrib2,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zmult__assoc,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zadd__zmult__distrib,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zdiff__zmult__distrib,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_pos__zmult__eq__1__iff,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)
% 39.29/39.37 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 39.29/39.37 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 39.29/39.37 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_zmult__zless__mono2,axiom,
% 39.29/39.37 ! [V_k,V_j,V_i] :
% 39.29/39.37 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 39.29/39.37 => 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)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__add__right__cancel,axiom,
% 39.29/39.37 ! [V_n_2,V_ka_2,V_m_2] :
% 39.29/39.37 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_ka_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_ka_2)
% 39.29/39.37 <=> V_m_2 = V_n_2 ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__add__left__cancel,axiom,
% 39.29/39.37 ! [V_n_2,V_m_2,V_ka_2] :
% 39.29/39.37 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_m_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2)
% 39.29/39.37 <=> V_m_2 = V_n_2 ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__add__assoc,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__add__left__commute,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_nat__add__commute,axiom,
% 39.29/39.37 ! [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) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power_Opower_Opower__0,axiom,
% 39.29/39.37 ! [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 ).
% 39.29/39.37
% 39.29/39.37 fof(fact_power_Opower_Opower__Suc,axiom,
% 39.29/39.37 ! [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)) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__le__cases,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__funE,axiom,
% 39.29/39.37 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 39.29/39.37 ( class_Orderings_Oord(T_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I6_J,axiom,
% 39.29/39.37 ! [V_z,V_x,V_y,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I5_J,axiom,
% 39.29/39.37 ! [V_x,V_y,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.37 => V_x = V_y ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__trans,axiom,
% 39.29/39.37 ! [V_z,V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__antisym,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 39.29/39.37 => V_x = V_y ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I4_J,axiom,
% 39.29/39.37 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 39.29/39.37 => ( V_b = V_c
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_ord__le__eq__trans,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Oord(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.37 => ( V_b = V_c
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I3_J,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( V_a = V_b
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_ord__eq__le__trans,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Oord(T_a)
% 39.29/39.37 => ( V_a = V_b
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__antisym__conv,axiom,
% 39.29/39.37 ! [V_x_2,V_y_2,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.37 <=> V_x_2 = V_y_2 ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__funD,axiom,
% 39.29/39.37 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 39.29/39.37 ( class_Orderings_Oord(T_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__eq__refl,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( V_x = V_y
% 39.29/39.37 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__eq__iff,axiom,
% 39.29/39.37 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( V_x_2 = V_y_2
% 39.29/39.37 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.37 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__linear,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.37 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_le__fun__def,axiom,
% 39.29/39.37 ! [V_g_2,V_f_2,T_a,T_b] :
% 39.29/39.37 ( class_Orderings_Oord(T_b)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 39.29/39.37 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__cases,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => ( V_x != V_y
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__asym,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I10_J,axiom,
% 39.29/39.37 ! [V_z,V_x,V_y,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__trans,axiom,
% 39.29/39.37 ! [V_z,V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I2_J,axiom,
% 39.29/39.37 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 39.29/39.37 => ( V_b = V_c
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_ord__less__eq__trans,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Oord(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.37 => ( V_b = V_c
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I1_J,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( V_a = V_b
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_ord__eq__less__trans,axiom,
% 39.29/39.37 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Oord(T_a)
% 39.29/39.37 => ( V_a = V_b
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_xt1_I9_J,axiom,
% 39.29/39.37 ! [V_a,V_b,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 39.29/39.37 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__asym_H,axiom,
% 39.29/39.37 ! [V_b,V_a,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.37 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__imp__not__eq2,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => V_y != V_x ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__imp__not__eq,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => V_x != V_y ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__imp__not__less,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_order__less__not__sym,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Opreorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_less__imp__neq,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Oorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => V_x != V_y ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__neqE,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( V_x != V_y
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.37 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__antisym__conv3,axiom,
% 39.29/39.37 ! [V_x_2,V_y_2,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 39.29/39.37 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.37 <=> V_x_2 = V_y_2 ) ) ) ).
% 39.29/39.37
% 39.29/39.37 fof(fact_linorder__less__linear,axiom,
% 39.29/39.37 ! [V_y,V_x,T_a] :
% 39.29/39.37 ( class_Orderings_Olinorder(T_a)
% 39.29/39.37 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.38 | V_x = V_y
% 39.29/39.38 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_not__less__iff__gr__or__eq,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 39.29/39.38 | V_x_2 = V_y_2 ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_linorder__neq__iff,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( V_x_2 != V_y_2
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__less__irrefl,axiom,
% 39.29/39.38 ! [V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Opreorder(T_a)
% 39.29/39.38 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_termination__basic__simps_I2_J,axiom,
% 39.29/39.38 ! [V_y,V_z,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_termination__basic__simps_I1_J,axiom,
% 39.29/39.38 ! [V_z,V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_termination__basic__simps_I4_J,axiom,
% 39.29/39.38 ! [V_y,V_z,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_termination__basic__simps_I3_J,axiom,
% 39.29/39.38 ! [V_z,V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_xt1_I8_J,axiom,
% 39.29/39.38 ! [V_z,V_x,V_y,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__le__less__trans,axiom,
% 39.29/39.38 ! [V_z,V_y,V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Opreorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_xt1_I7_J,axiom,
% 39.29/39.38 ! [V_z,V_x,V_y,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__less__le__trans,axiom,
% 39.29/39.38 ! [V_z,V_y,V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Opreorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_xt1_I11_J,axiom,
% 39.29/39.38 ! [V_a,V_b,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 39.29/39.38 => ( V_a != V_b
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__le__neq__trans,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.38 => ( V_a != V_b
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__le__imp__less__or__eq,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.38 | V_x = V_y ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_linorder__antisym__conv2,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.38 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 <=> V_x_2 = V_y_2 ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__less__imp__le,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Opreorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_leD,axiom,
% 39.29/39.38 ! [V_x,V_y,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 39.29/39.38 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_xt1_I12_J,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( V_a != V_b
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__neq__le__trans,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( V_a != V_b
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_linorder__antisym__conv1,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.38 <=> V_x_2 = V_y_2 ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_not__leE,axiom,
% 39.29/39.38 ! [V_x,V_y,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_leI,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__le__less,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 | V_x_2 = V_y_2 ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__le__not__le,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Opreorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.38 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__less__le,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( class_Orderings_Oorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 39.29/39.38 & V_x_2 != V_y_2 ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_linorder__le__less__linear,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_Orderings_Olinorder(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.38 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_le__Suc__ex__iff,axiom,
% 39.29/39.38 ! [V_l_2,V_ka_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_l_2)
% 39.29/39.38 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,B_n) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_kn,axiom,
% 39.29/39.38 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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_ex__least__nat__less,axiom,
% 39.29/39.38 ! [V_n_2,V_P_2] :
% 39.29/39.38 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 39.29/39.38 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 39.29/39.38 => ? [B_k] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_n_2)
% 39.29/39.38 & ! [B_i] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,B_k)
% 39.29/39.38 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 39.29/39.38 & hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_expand__Suc,axiom,
% 39.29/39.38 ! [V_v] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))
% 39.29/39.38 => c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_k1n,axiom,
% 39.29/39.38 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____)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__bin__lemma,axiom,
% 39.29/39.38 ! [V_l_2,V_ka_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2)
% 39.29/39.38 <=> 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zle__diff1__eq,axiom,
% 39.29/39.38 ! [V_z_2,V_w_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__commute,axiom,
% 39.29/39.38 ! [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) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__fun__def,axiom,
% 39.29/39.38 ! [V_g_2,V_f_2,T_a,T_b] :
% 39.29/39.38 ( class_Orderings_Oord(T_b)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 39.29/39.38 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zless__le,axiom,
% 39.29/39.38 ! [V_w_2,V_z_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)
% 39.29/39.38 & V_z_2 != V_w_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zless__linear,axiom,
% 39.29/39.38 ! [V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 39.29/39.38 | V_x = V_y
% 39.29/39.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zle__add1__eq__le,axiom,
% 39.29/39.38 ! [V_z_2,V_w_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zless__add1__eq,axiom,
% 39.29/39.38 ! [V_z_2,V_w_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)
% 39.29/39.38 | V_w_2 = V_z_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__left__commute,axiom,
% 39.29/39.38 ! [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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_add1__zle__eq,axiom,
% 39.29/39.38 ! [V_z_2,V_w_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__assoc,axiom,
% 39.29/39.38 ! [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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zless__imp__add1__zle,axiom,
% 39.29/39.38 ! [V_z,V_w] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__strict__right__mono,axiom,
% 39.29/39.38 ! [V_k,V_j,V_i] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__left__mono,axiom,
% 39.29/39.38 ! [V_k,V_j,V_i] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__zless__mono,axiom,
% 39.29/39.38 ! [V_z,V_z_H,V_w,V_w_H] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_le__imp__0__less,axiom,
% 39.29/39.38 ! [V_z] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_odd__less__0,axiom,
% 39.29/39.38 ! [V_z_2] :
% 39.29/39.38 ( 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))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__0__right,axiom,
% 39.29/39.38 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 39.29/39.38
% 39.29/39.38 fof(fact_int__one__le__iff__zero__less,axiom,
% 39.29/39.38 ! [V_z_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zadd__0,axiom,
% 39.29/39.38 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 39.29/39.38
% 39.29/39.38 fof(fact_int__0__less__1,axiom,
% 39.29/39.38 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_odd__nonzero,axiom,
% 39.29/39.38 ! [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) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_int__0__neq__1,axiom,
% 39.29/39.38 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_le__number__of,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 & class_Rings_Olinordered__idom(T_a) )
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_x_2,V_y_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__number__of,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 & class_Rings_Olinordered__idom(T_a) )
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_add__number__of__left,axiom,
% 39.29/39.38 ! [V_z,V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_z)) = c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_z) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_add__number__of__eq,axiom,
% 39.29/39.38 ! [V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_number__of__add,axiom,
% 39.29/39.38 ! [V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)) = c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_number__of__diff,axiom,
% 39.29/39.38 ! [V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_v,V_w)) = c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_eq__number__of,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.38 ( ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 & class_Int_Oring__char__0(T_a) )
% 39.29/39.38 => ( c_Int_Onumber__class_Onumber__of(T_a,V_x_2) = c_Int_Onumber__class_Onumber__of(T_a,V_y_2)
% 39.29/39.38 <=> V_x_2 = V_y_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_number__of__reorient,axiom,
% 39.29/39.38 ! [V_x_2,V_w_2,T_a] :
% 39.29/39.38 ( class_Int_Onumber(T_a)
% 39.29/39.38 => ( c_Int_Onumber__class_Onumber__of(T_a,V_w_2) = V_x_2
% 39.29/39.38 <=> V_x_2 = c_Int_Onumber__class_Onumber__of(T_a,V_w_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_le__number__of__eq__not__less,axiom,
% 39.29/39.38 ! [V_w_2,V_v_2,T_a] :
% 39.29/39.38 ( ( class_Int_Onumber(T_a)
% 39.29/39.38 & class_Orderings_Olinorder(T_a) )
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))
% 39.29/39.38 <=> ~ c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Int_Onumber__class_Onumber__of(T_a,V_v_2)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_right__distrib__number__of,axiom,
% 39.29/39.38 ! [V_c,V_b,V_v,T_b] :
% 39.29/39.38 ( ( class_Int_Onumber(T_b)
% 39.29/39.38 & class_Rings_Osemiring(T_b) )
% 39.29/39.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Oplus__class_Oplus(T_b,V_b,V_c)) = c_Groups_Oplus__class_Oplus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_c)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_left__distrib__number__of,axiom,
% 39.29/39.38 ! [V_v,V_b,V_a,T_b] :
% 39.29/39.38 ( ( class_Int_Onumber(T_b)
% 39.29/39.38 & class_Rings_Osemiring(T_b) )
% 39.29/39.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Groups_Oplus__class_Oplus(T_b,V_a,V_b)),c_Int_Onumber__class_Onumber__of(T_b,V_v)) = c_Groups_Oplus__class_Oplus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),c_Int_Onumber__class_Onumber__of(T_b,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_left__diff__distrib__number__of,axiom,
% 39.29/39.38 ! [V_v,V_b,V_a,T_b] :
% 39.29/39.38 ( ( class_Int_Onumber(T_b)
% 39.29/39.38 & class_Rings_Oring(T_b) )
% 39.29/39.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Groups_Ominus__class_Ominus(T_b,V_a,V_b)),c_Int_Onumber__class_Onumber__of(T_b,V_v)) = c_Groups_Ominus__class_Ominus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),c_Int_Onumber__class_Onumber__of(T_b,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_right__diff__distrib__number__of,axiom,
% 39.29/39.38 ! [V_c,V_b,V_v,T_b] :
% 39.29/39.38 ( ( class_Int_Onumber(T_b)
% 39.29/39.38 & class_Rings_Oring(T_b) )
% 39.29/39.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Ominus__class_Ominus(T_b,V_b,V_c)) = c_Groups_Ominus__class_Ominus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_c)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_add__number__of__diff1,axiom,
% 39.29/39.38 ! [V_c,V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_c)) = c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_c) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__number__of__left,axiom,
% 39.29/39.38 ! [V_z,V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_arith__simps_I32_J,axiom,
% 39.29/39.38 ! [V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_number__of__mult,axiom,
% 39.29/39.38 ! [V_w,V_v,T_a] :
% 39.29/39.38 ( class_Int_Onumber__ring(T_a)
% 39.29/39.38 => c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_psize__eq__0__iff,axiom,
% 39.29/39.38 ! [V_pb_2,T_a] :
% 39.29/39.38 ( class_Groups_Ozero(T_a)
% 39.29/39.38 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_power__eq__0__iff__number__of,axiom,
% 39.29/39.38 ! [V_w_2,V_aa_2,T_a] :
% 39.29/39.38 ( ( class_Power_Opower(T_a)
% 39.29/39.38 & class_Rings_Omult__zero(T_a)
% 39.29/39.38 & class_Rings_Ono__zero__divisors(T_a)
% 39.29/39.38 & class_Rings_Ozero__neq__one(T_a) )
% 39.29/39.38 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zero__less__power__nat__eq__number__of,axiom,
% 39.29/39.38 ! [V_w_2,V_x_2] :
% 39.29/39.38 ( 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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))
% 39.29/39.38 <=> ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_power__0__left__number__of,axiom,
% 39.29/39.38 ! [V_w,T_a] :
% 39.29/39.38 ( ( class_Power_Opower(T_a)
% 39.29/39.38 & class_Rings_Osemiring__0(T_a) )
% 39.29/39.38 => ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)) = c_Groups_Oone__class_Oone(T_a) )
% 39.29/39.38 & ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_q_I1_J,axiom,
% 39.29/39.38 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_self__quotient__aux1,axiom,
% 39.29/39.38 ! [V_q,V_r,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 39.29/39.38 => ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_self__quotient__aux2,axiom,
% 39.29/39.38 ! [V_q,V_r,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 39.29/39.38 => ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_times__numeral__code_I5_J,axiom,
% 39.29/39.38 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zle__refl,axiom,
% 39.29/39.38 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zle__linear,axiom,
% 39.29/39.38 ! [V_w,V_z] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 39.29/39.38 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_plus__numeral__code_I9_J,axiom,
% 39.29/39.38 ! [V_w,V_v] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__number__of__int__code,axiom,
% 39.29/39.38 ! [V_l_2,V_ka_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_ka_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__eq__number__of__int__code,axiom,
% 39.29/39.38 ! [V_l_2,V_ka_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_ka_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_ka_2,V_l_2) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zle__trans,axiom,
% 39.29/39.38 ! [V_k,V_j,V_i] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zle__antisym,axiom,
% 39.29/39.38 ! [V_w,V_z] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 39.29/39.38 => V_z = V_w ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_q__pos__lemma,axiom,
% 39.29/39.38 ! [V_r_H,V_q_H,V_b_H] :
% 39.29/39.38 ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_q__neg__lemma,axiom,
% 39.29/39.38 ! [V_r_H,V_q_H,V_b_H] :
% 39.29/39.38 ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_unique__quotient__lemma,axiom,
% 39.29/39.38 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 39.29/39.38 ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__mono2__lemma,axiom,
% 39.29/39.38 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 39.29/39.38 ( 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)
% 39.29/39.38 => ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_unique__quotient__lemma__neg,axiom,
% 39.29/39.38 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 39.29/39.38 ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 39.29/39.38 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 39.29/39.38 ( 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)
% 39.29/39.38 => ( 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))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 39.29/39.38 ! [V_n,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 39.29/39.38 ! [V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 39.29/39.38 ! [V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_number__of__is__id,axiom,
% 39.29/39.38 ! [V_k] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k) = V_k ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 39.29/39.38 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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 39.29/39.38 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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_tsub__def,axiom,
% 39.29/39.38 ! [V_x,V_y] :
% 39.29/39.38 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 39.29/39.38 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 39.29/39.38 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 39.29/39.38 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_int__power__div__base,axiom,
% 39.29/39.38 ! [V_k,V_m] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_a00,axiom,
% 39.29/39.38 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) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_assms,axiom,
% 39.29/39.38 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less_Oprems,axiom,
% 39.29/39.38 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_pc0,axiom,
% 39.29/39.38 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_q_I2_J,axiom,
% 39.29/39.38 ! [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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_qnc,axiom,
% 39.29/39.38 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,axiom,
% 39.29/39.38 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__zero,axiom,
% 39.29/39.38 ! [V_b] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__by__1,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__by__0,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__0,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 39.29/39.38 ! [V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__neg__pos__less0,axiom,
% 39.29/39.38 ! [V_b,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 39.29/39.38 ! [V_aa_2,V_b_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_aa_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 39.29/39.38 ! [V_aa_2,V_b_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_aa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__self,axiom,
% 39.29/39.38 ! [V_a] :
% 39.29/39.38 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__mult1__if,axiom,
% 39.29/39.38 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Groups_Ozero__class_Ozero(T_a) )
% 39.29/39.38 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__self2__is__id,axiom,
% 39.29/39.38 ! [V_a,V_b,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = V_a ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__self1__is__id,axiom,
% 39.29/39.38 ! [V_a,V_b,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = V_a ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__mult2,axiom,
% 39.29/39.38 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__mult1,axiom,
% 39.29/39.38 ! [V_b,V_a,V_c,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__self,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,V_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__mono1__neg,axiom,
% 39.29/39.38 ! [V_b,V_a_H,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__mono1,axiom,
% 39.29/39.38 ! [V_b,V_a_H,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__neg__neg__trivial,axiom,
% 39.29/39.38 ! [V_b,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__mono2__neg,axiom,
% 39.29/39.38 ! [V_b,V_b_H,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__nonpos__pos__le0,axiom,
% 39.29/39.38 ! [V_b,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 39.29/39.38 ! [V_aa_2,V_b_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_aa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__pos__pos__trivial,axiom,
% 39.29/39.38 ! [V_b,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__nonneg__neg__le0,axiom,
% 39.29/39.38 ! [V_b,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__mono2,axiom,
% 39.29/39.38 ! [V_b,V_b_H,V_a] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 39.29/39.38 ! [V_b_2,V_aa_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_aa_2)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2))
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_2,V_aa_2)
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 39.29/39.38 ! [V_i_2,V_ka_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ka_2)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_ka_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_ka_2,V_i_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 39.29/39.38 ! [V_aa_2,V_b_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_aa_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__eq__0__iff,axiom,
% 39.29/39.38 ! [V_ka_2,V_i_2] :
% 39.29/39.38 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_ka_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 39.29/39.38 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 39.29/39.38 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2)
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_ka_2) )
% 39.29/39.38 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_i_2) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_int__div__less__self,axiom,
% 39.29/39.38 ! [V_k,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zdiv__zmult2__eq,axiom,
% 39.29/39.38 ! [V_b,V_a,V_c] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__self2,axiom,
% 39.29/39.38 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__self1,axiom,
% 39.29/39.38 ! [V_c,V_a,V_b,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__add__self2,axiom,
% 39.29/39.38 ! [V_a,V_b,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__add__self1,axiom,
% 39.29/39.38 ! [V_a,V_b,T_a] :
% 39.29/39.38 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 39.29/39.38 ! [V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_divmod__int__rel__div__eq,axiom,
% 39.29/39.38 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 39.29/39.38 ( V_a_1 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1)
% 39.29/39.38 => ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1)
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1) ) )
% 39.29/39.38 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)
% 39.29/39.38 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) )
% 39.29/39.38 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_split__zdiv,axiom,
% 39.29/39.38 ! [V_ka_2,V_n_2,V_P_2] :
% 39.29/39.38 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_ka_2)))
% 39.29/39.38 <=> ( ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 39.29/39.38 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 39.29/39.38 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ka_2)
% 39.29/39.38 => ! [B_i] :
% 39.29/39.38 ( ? [B_j] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j)
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_ka_2)
% 39.29/39.38 & V_n_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),B_i),B_j) )
% 39.29/39.38 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 39.29/39.38 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 => ! [B_i] :
% 39.29/39.38 ( ? [B_j] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,B_j)
% 39.29/39.38 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B_j,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 39.29/39.38 & V_n_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),B_i),B_j) )
% 39.29/39.38 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_tsub__eq,axiom,
% 39.29/39.38 ! [V_x,V_y] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 39.29/39.38 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_pqc0,axiom,
% 39.29/39.38 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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_cq0,axiom,
% 39.29/39.38 ! [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))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__0,axiom,
% 39.29/39.38 ! [V_x,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_c,axiom,
% 39.29/39.38 ! [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))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult2__eq,axiom,
% 39.29/39.38 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__le__dividend,axiom,
% 39.29/39.38 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__le__mono,axiom,
% 39.29/39.38 ! [V_k,V_n,V_m] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__not__less__zero,axiom,
% 39.29/39.38 ! [V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => ~ 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__ge__zero,axiom,
% 39.29/39.38 ! [V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__mult__ineq,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.38 => 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))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_zero__less__norm__iff,axiom,
% 39.29/39.38 ! [V_x_2,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => ( 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))
% 39.29/39.38 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__le__eq__diff,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 39.29/39.38 <=> 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__le__zero__iff,axiom,
% 39.29/39.38 ! [V_x_2,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => ( 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))
% 39.29/39.38 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__le__cancel__iff1,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,V_z_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 39.29/39.38 => ( 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))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__le__cancel__iff2,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,V_z_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 39.29/39.38 => ( 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))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__ratiotest__lemma,axiom,
% 39.29/39.38 ! [V_y,V_x,V_c,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 39.29/39.38 => ( 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)))
% 39.29/39.38 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__mult__less,axiom,
% 39.29/39.38 ! [V_s,V_y,V_r,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 39.29/39.38 => 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)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__add__less,axiom,
% 39.29/39.38 ! [V_s,V_y,V_r,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 39.29/39.38 => 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)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__triangle__ineq2,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__diff__ineq,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__triangle__ineq4,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__triangle__ineq,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__le__refl,axiom,
% 39.29/39.38 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_complex__mod__triangle__sub,axiom,
% 39.29/39.38 ! [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))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__le__linear,axiom,
% 39.29/39.38 ! [V_w,V_z] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 39.29/39.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__less__def,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 39.29/39.38 & V_x_2 != V_y_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less__eq__real__def,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 39.29/39.38 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 39.29/39.38 | V_x_2 = V_y_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__add__left__mono,axiom,
% 39.29/39.38 ! [V_z,V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__le__trans,axiom,
% 39.29/39.38 ! [V_k,V_j,V_i] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__le__antisym,axiom,
% 39.29/39.38 ! [V_w,V_z] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 39.29/39.38 => V_z = V_w ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__power__ineq,axiom,
% 39.29/39.38 ! [V_n,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__zero,axiom,
% 39.29/39.38 ! [T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__eq__zero,axiom,
% 39.29/39.38 ! [V_x_2,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 39.29/39.38 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_constant__def,axiom,
% 39.29/39.38 ! [V_f_2,T_b,T_a] :
% 39.29/39.38 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_a,T_b,V_f_2)
% 39.29/39.38 <=> ! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__mult,axiom,
% 39.29/39.38 ! [V_y,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__power,axiom,
% 39.29/39.38 ! [V_n,V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__minus__commute,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__one,axiom,
% 39.29/39.38 ! [T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 39.29/39.38 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__1,axiom,
% 39.29/39.38 ! [V_m] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__less,axiom,
% 39.29/39.38 ! [V_n,V_m] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__diff__triangle__ineq,axiom,
% 39.29/39.38 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.38 => 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)))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nat__mult__div__cancel__disj,axiom,
% 39.29/39.38 ! [V_n,V_m,V_k] :
% 39.29/39.38 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 39.29/39.38 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__le__mono2,axiom,
% 39.29/39.38 ! [V_k,V_n,V_m] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.38 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nat__mult__div__cancel1,axiom,
% 39.29/39.38 ! [V_n,V_m,V_k] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__self1__is__m,axiom,
% 39.29/39.38 ! [V_m,V_n] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n) = V_m ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__mult__self__is__m,axiom,
% 39.29/39.38 ! [V_m,V_n] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n) = V_m ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__less__dividend,axiom,
% 39.29/39.38 ! [V_m,V_n] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 39.29/39.38 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_diff__poly__code_I2_J,axiom,
% 39.29/39.38 ! [V_p,T_a] :
% 39.29/39.38 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.38 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__poly__0__left,axiom,
% 39.29/39.38 ! [V_q,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__poly__0__right,axiom,
% 39.29/39.38 ! [V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_add__poly__code_I1_J,axiom,
% 39.29/39.38 ! [V_q,T_a] :
% 39.29/39.38 ( class_Groups_Ocomm__monoid__add(T_a)
% 39.29/39.38 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_add__poly__code_I2_J,axiom,
% 39.29/39.38 ! [V_p,T_a] :
% 39.29/39.38 ( class_Groups_Ocomm__monoid__add(T_a)
% 39.29/39.38 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__eq__iff,axiom,
% 39.29/39.38 ! [V_qa_2,V_pb_2,T_a] :
% 39.29/39.38 ( ( class_Int_Oring__char__0(T_a)
% 39.29/39.38 & class_Rings_Oidom(T_a) )
% 39.29/39.38 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qa_2)
% 39.29/39.38 <=> V_pb_2 = V_qa_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__geq,axiom,
% 39.29/39.38 ! [V_m,V_n] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.38 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__if,axiom,
% 39.29/39.38 ! [V_m,V_n] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.38 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 39.29/39.38 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_split__div,axiom,
% 39.29/39.38 ! [V_ka_2,V_n_2,V_P_2] :
% 39.29/39.38 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_ka_2)))
% 39.29/39.38 <=> ( ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 39.29/39.38 & ( V_ka_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => ! [B_i,B_j] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_ka_2)
% 39.29/39.38 => ( V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),B_i),B_j)
% 39.29/39.38 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_split__div_H,axiom,
% 39.29/39.38 ! [V_n_2,V_m_2,V_P_2] :
% 39.29/39.38 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m_2,V_n_2)))
% 39.29/39.38 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 39.29/39.38 | ? [B_q] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q),V_m_2)
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),c_Nat_OSuc(B_q)))
% 39.29/39.38 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_split__div__lemma,axiom,
% 39.29/39.38 ! [V_m_2,V_qa_2,V_n_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 39.29/39.38 => ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_qa_2),V_m_2)
% 39.29/39.38 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),c_Nat_OSuc(V_qa_2))) )
% 39.29/39.38 <=> V_qa_2 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_le__div__geq,axiom,
% 39.29/39.38 ! [V_m,V_n] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__mult,axiom,
% 39.29/39.38 ! [V_x,V_q,V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__add,axiom,
% 39.29/39.38 ! [V_x,V_q,V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__1,axiom,
% 39.29/39.38 ! [V_x,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__diff,axiom,
% 39.29/39.38 ! [V_x,V_q,V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__ring(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__power,axiom,
% 39.29/39.38 ! [V_x,V_n,V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__zero,axiom,
% 39.29/39.38 ! [V_pb_2,T_a] :
% 39.29/39.38 ( ( class_Int_Oring__char__0(T_a)
% 39.29/39.38 & class_Rings_Oidom(T_a) )
% 39.29/39.38 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 39.29/39.38 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_less_Ohyps,axiom,
% 39.29/39.38 ! [V_pb_2] :
% 39.29/39.38 ( 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____))
% 39.29/39.38 => ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2))
% 39.29/39.38 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ).
% 39.29/39.38
% 39.29/39.38 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,
% 39.29/39.38 ? [B_q] :
% 39.29/39.38 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 39.29/39.38 & ! [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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,axiom,
% 39.29/39.38 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 39.29/39.38 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__div__mult__right,axiom,
% 39.29/39.38 ! [V_z,V_y,V_x,T_a] :
% 39.29/39.38 ( class_Fields_Ofield(T_a)
% 39.29/39.38 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_y),V_z)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y),V_z) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__two__squares__add__zero__iff,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2] :
% 39.29/39.38 ( 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)
% 39.29/39.38 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 39.29/39.38 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__add__mult__distrib,axiom,
% 39.29/39.38 ! [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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__poly__add__left,axiom,
% 39.29/39.38 ! [V_r,V_q,V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__1,axiom,
% 39.29/39.38 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__assoc,axiom,
% 39.29/39.38 ! [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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__commute,axiom,
% 39.29/39.38 ! [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) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__zero__not__eq__one,axiom,
% 39.29/39.38 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__less__mono2,axiom,
% 39.29/39.38 ! [V_y,V_x,V_z] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__order,axiom,
% 39.29/39.38 ! [V_y,V_x] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 39.29/39.38 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__less__iff1,axiom,
% 39.29/39.38 ! [V_y_2,V_x_2,V_z_2] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 39.29/39.38 => ( 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))
% 39.29/39.38 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__left__cancel,axiom,
% 39.29/39.38 ! [V_b_2,V_aa_2,V_ca_2] :
% 39.29/39.38 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 39.29/39.38 => ( 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)
% 39.29/39.38 <=> V_aa_2 = V_b_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_real__mult__right__cancel,axiom,
% 39.29/39.38 ! [V_b_2,V_aa_2,V_ca_2] :
% 39.29/39.38 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 39.29/39.38 => ( 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)
% 39.29/39.38 <=> V_aa_2 = V_b_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_complex__mod__triangle__ineq2,axiom,
% 39.29/39.38 ! [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)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_reduce__poly__simple,axiom,
% 39.29/39.38 ! [V_n,V_b] :
% 39.29/39.38 ( V_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 39.29/39.38 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.38 => ? [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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_not__real__square__gt__zero,axiom,
% 39.29/39.38 ! [V_x_2] :
% 39.29/39.38 ( ~ 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))
% 39.29/39.38 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_order__root,axiom,
% 39.29/39.38 ! [V_aa_2,V_pb_2,T_a] :
% 39.29/39.38 ( class_Rings_Oidom(T_a)
% 39.29/39.38 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 39.29/39.38 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_unimodular__reduce__norm,axiom,
% 39.29/39.38 ! [V_z] :
% 39.29/39.38 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 39.29/39.38 => ( 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))
% 39.29/39.38 | 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))
% 39.29/39.38 | 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))
% 39.29/39.38 | 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 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,
% 39.29/39.38 ~ ! [B_q] :
% 39.29/39.38 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 39.29/39.38 => ~ ! [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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_complex__i__not__number__of,axiom,
% 39.29/39.38 ! [V_w] : c_Complex_Oii != c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,V_w) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_complex__i__not__zero,axiom,
% 39.29/39.38 c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_complex__i__not__one,axiom,
% 39.29/39.38 c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult_Opos__bounded,axiom,
% 39.29/39.38 ! [T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.38 => ? [B_K] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 39.29/39.38 & ! [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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__right_Opos__bounded,axiom,
% 39.29/39.38 ! [V_x,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.38 => ? [B_K] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 39.29/39.38 & ! [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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__left_Opos__bounded,axiom,
% 39.29/39.38 ! [V_y,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.38 => ? [B_K] :
% 39.29/39.38 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 39.29/39.38 & ! [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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_kas_I3_J,axiom,
% 39.29/39.38 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____)) ).
% 39.29/39.38
% 39.29/39.38 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,
% 39.29/39.38 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))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_qr,axiom,
% 39.29/39.38 ! [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))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_lgqr,axiom,
% 39.29/39.38 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____)) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_r01,axiom,
% 39.29/39.38 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) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_rnc,axiom,
% 39.29/39.38 ~ 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____))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mrmq__eq,axiom,
% 39.29/39.38 ! [V_w_2] :
% 39.29/39.38 ( 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_w_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 39.29/39.38 <=> 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_w_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)))) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_kas_I4_J,axiom,
% 39.29/39.38 ! [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))) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonzero__norm__inverse,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => 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)) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__0__right,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__smult__left,axiom,
% 39.29/39.38 ! [V_q,V_p,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_mult__smult__right,axiom,
% 39.29/39.38 ! [V_q,V_a,V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__smult,axiom,
% 39.29/39.38 ! [V_p,V_b,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_norm__inverse,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 39.29/39.38 & class_Rings_Odivision__ring__inverse__zero(T_a) )
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__add__left,axiom,
% 39.29/39.38 ! [V_p,V_b,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__add__right,axiom,
% 39.29/39.38 ! [V_q,V_p,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonzero__power__inverse,axiom,
% 39.29/39.38 ! [V_n,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => 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) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_power__inverse,axiom,
% 39.29/39.38 ! [V_n,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.38 => 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) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonzero__inverse__eq__imp__eq,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => V_a = V_b ) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__zero__imp__zero,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonzero__inverse__inverse__eq,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonzero__imp__inverse__nonzero,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__nonzero__iff__nonzero,axiom,
% 39.29/39.38 ! [V_aa_2,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.38 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__zero,axiom,
% 39.29/39.38 ! [T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.38 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_nonzero__inverse__mult__distrib,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 => 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)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__eq__0__iff,axiom,
% 39.29/39.38 ! [V_pb_2,V_aa_2,T_a] :
% 39.29/39.38 ( class_Rings_Oidom(T_a)
% 39.29/39.38 => ( c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 39.29/39.38 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.38 | V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__0__left,axiom,
% 39.29/39.38 ! [V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_poly__smult,axiom,
% 39.29/39.38 ! [V_x,V_p,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.38 => 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)) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__eq__imp__eq,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.38 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 39.29/39.38 => V_a = V_b ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__eq__iff__eq,axiom,
% 39.29/39.38 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.38 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2)
% 39.29/39.38 <=> V_aa_2 = V_b_2 ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__inverse__eq,axiom,
% 39.29/39.38 ! [V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.38 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__1,axiom,
% 39.29/39.38 ! [T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_inverse__unique,axiom,
% 39.29/39.38 ! [V_b,V_a,T_a] :
% 39.29/39.38 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.38 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a)
% 39.29/39.38 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_smult__1__left,axiom,
% 39.29/39.38 ! [V_p,T_a] :
% 39.29/39.38 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.38 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ).
% 39.29/39.38
% 39.29/39.38 fof(fact_div__smult__right,axiom,
% 39.29/39.39 ! [V_y,V_x,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,c_Polynomial_Osmult(T_a,V_a,V_y)) = c_Polynomial_Osmult(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_div__smult__left,axiom,
% 39.29/39.39 ! [V_y,V_x,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_x),V_y) = c_Polynomial_Osmult(T_a,V_a,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__diff__left,axiom,
% 39.29/39.39 ! [V_p,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__diff__right,axiom,
% 39.29/39.39 ! [V_q,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_division__ring__inverse__add,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_left__inverse,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_right__inverse,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_division__ring__inverse__diff,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_calculation,axiom,
% 39.29/39.39 ( 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))
% 39.29/39.39 => ? [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)) ) ).
% 39.29/39.39
% 39.29/39.39 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,
% 39.29/39.39 ~ ! [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) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_synthetic__div__unique__lemma,axiom,
% 39.29/39.39 ! [V_a,V_p,V_c,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p)
% 39.29/39.39 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__pCons,axiom,
% 39.29/39.39 ! [V_p,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_INVERSE__ZERO,axiom,
% 39.29/39.39 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__pCons,axiom,
% 39.29/39.39 ! [V_q,V_b,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_pCons__eq__iff,axiom,
% 39.29/39.39 ! [V_qa_2,V_b_2,V_pb_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ozero(T_a)
% 39.29/39.39 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qa_2)
% 39.29/39.39 <=> ( V_aa_2 = V_b_2
% 39.29/39.39 & V_pb_2 = V_qa_2 ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_add__pCons,axiom,
% 39.29/39.39 ! [V_q,V_b,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ocomm__monoid__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_pCons__eq__0__iff,axiom,
% 39.29/39.39 ! [V_pb_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ozero(T_a)
% 39.29/39.39 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 39.29/39.39 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_pCons__0__0,axiom,
% 39.29/39.39 ! [T_a] :
% 39.29/39.39 ( class_Groups_Ozero(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_poly__pCons,axiom,
% 39.29/39.39 ! [V_x,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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))) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__mult__inverse__cancel,axiom,
% 39.29/39.39 ! [V_u,V_y,V_x1,V_x] :
% 39.29/39.39 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__mult__inverse__cancel2,axiom,
% 39.29/39.39 ! [V_u,V_y,V_x1,V_x] :
% 39.29/39.39 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => 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))) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__mult__inverse__left,axiom,
% 39.29/39.39 ! [V_x] :
% 39.29/39.39 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_offset__poly__eq__0__lemma,axiom,
% 39.29/39.39 ! [V_a,V_p,V_c,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_one__poly__def,axiom,
% 39.29/39.39 ! [T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => 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))) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult__pCons__left,axiom,
% 39.29/39.39 ! [V_q,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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))) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult__pCons__right,axiom,
% 39.29/39.39 ! [V_q,V_a,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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))) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_Bseq__inverse__lemma,axiom,
% 39.29/39.39 ! [V_x,V_r,T_a] :
% 39.29/39.39 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_r,c_RealVector_Onorm__class_Onorm(T_a,V_x))
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_one__le__inverse__iff,axiom,
% 39.29/39.39 ! [V_x_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 39.29/39.39 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_field__inverse__zero,axiom,
% 39.29/39.39 ! [T_a] :
% 39.29/39.39 ( class_Fields_Ofield__inverse__zero(T_a)
% 39.29/39.39 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__mult__distrib,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Ofield__inverse__zero(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__eq__1__iff,axiom,
% 39.29/39.39 ! [V_x_2,T_a] :
% 39.29/39.39 ( class_Fields_Ofield__inverse__zero(T_a)
% 39.29/39.39 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 39.29/39.39 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__nonnegative__iff__nonnegative,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__nonpositive__iff__nonpositive,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__less__imp__less__neg,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__less__imp__less,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__negative__imp__negative,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_less__imp__inverse__less__neg,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_less__imp__inverse__less,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_negative__imp__inverse__negative,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__positive__imp__positive,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a))
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_positive__imp__inverse__positive,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__negative__iff__negative,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__positive__iff__positive,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_le__imp__inverse__le,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_le__imp__inverse__le__neg,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__le__imp__le,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__le__imp__le__neg,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__le__1__iff,axiom,
% 39.29/39.39 ! [V_x_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__add,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_one__less__inverse__iff,axiom,
% 39.29/39.39 ! [V_x_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 39.29/39.39 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 39.29/39.39 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_one__less__inverse,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.39 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_field__inverse,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_one__le__inverse,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 39.29/39.39 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__less__1__iff,axiom,
% 39.29/39.39 ! [V_x_2,T_a] :
% 39.29/39.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 39.29/39.39 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_pcompose__pCons,axiom,
% 39.29/39.39 ! [V_q,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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))) ) ).
% 39.29/39.39
% 39.29/39.39 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,
% 39.29/39.39 ? [B_k,B_a] :
% 39.29/39.39 ( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 39.29/39.39 & B_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 39.29/39.39 & ? [B_q] :
% 39.29/39.39 ( 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____))
% 39.29/39.39 & ! [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))) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_pcompose__0,axiom,
% 39.29/39.39 ! [V_q,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_poly__pcompose,axiom,
% 39.29/39.39 ! [V_x,V_q,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_synthetic__div__correct,axiom,
% 39.29/39.39 ! [V_c,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_synthetic__div__unique,axiom,
% 39.29/39.39 ! [V_r,V_q,V_c,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => ( 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)
% 39.29/39.39 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c)
% 39.29/39.39 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_synthetic__div__0,axiom,
% 39.29/39.39 ! [V_c,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_synthetic__div__pCons,axiom,
% 39.29/39.39 ! [V_c,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__0(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_synthetic__div__correct_H,axiom,
% 39.29/39.39 ! [V_p,V_c,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring__1(T_a)
% 39.29/39.39 => 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 ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_lemmaCauchy,axiom,
% 39.29/39.39 ! [V_X_2,V_M_2,T_a,T_b] :
% 39.29/39.39 ( ( class_RealVector_Oreal__normed__vector(T_b)
% 39.29/39.39 & class_Orderings_Oord(T_a) )
% 39.29/39.39 => ( ! [B_n] :
% 39.29/39.39 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 39.29/39.39 => 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)) )
% 39.29/39.39 => ! [B_n] :
% 39.29/39.39 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 39.29/39.39 => 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)))) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__pCons,axiom,
% 39.29/39.39 ! [V_p,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__poly__code_I2_J,axiom,
% 39.29/39.39 ! [V_p,V_a,T_b] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_b)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__diff__def,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__real__def,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__0,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__minus__eq__add,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_ab__diff__minus,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__def,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 39.29/39.39 ! [V_y,V_x,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring__1(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__diff__eq,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__int__def,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__int__def__symmetric,axiom,
% 39.29/39.39 ! [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) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__poly__code_I1_J,axiom,
% 39.29/39.39 ! [V_q,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_complex__i__mult__minus,axiom,
% 39.29/39.39 ! [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) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_poly__div__minus__left,axiom,
% 39.29/39.39 ! [V_y,V_x,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x),V_y) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_poly__div__minus__right,axiom,
% 39.29/39.39 ! [V_y,V_x,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_y)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zdiv__zminus2,axiom,
% 39.29/39.39 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),V_b) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zdiv__zminus__zminus,axiom,
% 39.29/39.39 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_complex__mod__minus__le__complex__mod,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_square__eq__1__iff,axiom,
% 39.29/39.39 ! [V_x_2,T_a] :
% 39.29/39.39 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 39.29/39.39 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 39.29/39.39 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 39.29/39.39 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 39.29/39.39 ! [V_x,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring__1(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_poly__minus,axiom,
% 39.29/39.39 ! [V_x,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_compl__mono,axiom,
% 39.29/39.39 ! [V_y,V_x,T_a] :
% 39.29/39.39 ( class_Lattices_Oboolean__algebra(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 39.29/39.39 => 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)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_compl__le__compl__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.39 ( class_Lattices_Oboolean__algebra(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_le__minus__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__le__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__le__iff__le,axiom,
% 39.29/39.39 ! [V_aa_2,V_b_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_le__imp__neg__le,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 39.29/39.39 => 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)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_double__compl,axiom,
% 39.29/39.39 ! [V_x,T_a] :
% 39.29/39.39 ( class_Lattices_Oboolean__algebra(T_a)
% 39.29/39.39 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_uminus__apply,axiom,
% 39.29/39.39 ! [V_x_2,V_A_2,T_b,T_a] :
% 39.29/39.39 ( class_Groups_Ouminus(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_compl__eq__compl__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.39 ( class_Lattices_Oboolean__algebra(T_a)
% 39.29/39.39 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 39.29/39.39 <=> V_x_2 = V_y_2 ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__minus,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_equation__minus__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 39.29/39.39 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__equation__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2
% 39.29/39.39 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__equal__iff__equal,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 39.29/39.39 <=> V_aa_2 = V_b_2 ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zadd__zminus__inverse2,axiom,
% 39.29/39.39 ! [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) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__zero,axiom,
% 39.29/39.39 ! [T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__0__equal__iff__equal,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 39.29/39.39 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_equal__neg__zero,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.39 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 39.29/39.39 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__equal__0__iff__equal,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__equal__zero,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2
% 39.29/39.39 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_less__minus__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__less__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__less__iff__less,axiom,
% 39.29/39.39 ! [V_aa_2,V_b_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zminus__0,axiom,
% 39.29/39.39 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zmult__zminus,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__mult__right,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Oring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__mult__left,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Oring(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult_Ominus__right,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult__right_Ominus,axiom,
% 39.29/39.39 ! [V_x,V_xa,T_a] :
% 39.29/39.39 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult_Ominus__left,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult__left_Ominus,axiom,
% 39.29/39.39 ! [V_y,V_x,T_a] :
% 39.29/39.39 ( class_RealVector_Oreal__normed__algebra(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__mult__commute,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Oring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__mult__minus,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Oring(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_square__eq__iff,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Rings_Oidom(T_a)
% 39.29/39.39 => ( 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)
% 39.29/39.39 <=> ( V_aa_2 = V_b_2
% 39.29/39.39 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_add__eq__0__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__unique,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_ab__left__minus,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_left__minus,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 39.29/39.39 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_right__minus,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__less__nonneg,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__less__0__iff__less,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_less__minus__self__iff,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Rings_Olinordered__idom(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__0__less__iff__less,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__le__self__iff,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__le__0__iff__le,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_le__minus__self__iff,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Olinordered__ab__group__add(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_neg__0__le__iff__le,axiom,
% 39.29/39.39 ! [V_aa_2,T_a] :
% 39.29/39.39 ( class_Groups_Oordered__ab__group__add(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zminus__zadd__distrib,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__add__distrib,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__add,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_add__minus__cancel,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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 ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__add__cancel,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Groups_Ogroup__add(T_a)
% 39.29/39.39 => 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 ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_norm__minus__cancel,axiom,
% 39.29/39.39 ! [V_x,T_a] :
% 39.29/39.39 ( class_RealVector_Oreal__normed__vector(T_a)
% 39.29/39.39 => 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) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__poly__code_I1_J,axiom,
% 39.29/39.39 ! [T_a] :
% 39.29/39.39 ( class_Groups_Oab__group__add(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__add__eq__0__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2] :
% 39.29/39.39 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 39.29/39.39 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__add__minus__iff,axiom,
% 39.29/39.39 ! [V_aa_2,V_x_2] :
% 39.29/39.39 ( 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)
% 39.29/39.39 <=> V_x_2 = V_aa_2 ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__minus__mult__self__le,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__number__of__mult,axiom,
% 39.29/39.39 ! [V_z,V_w,T_a] :
% 39.29/39.39 ( class_Int_Onumber__ring(T_a)
% 39.29/39.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))),V_z) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_arith__simps_I30_J,axiom,
% 39.29/39.39 ! [V_w,T_a] :
% 39.29/39.39 ( class_Int_Onumber__ring(T_a)
% 39.29/39.39 => c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__numeral__code_I5_J,axiom,
% 39.29/39.39 ! [V_w] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_number__of__minus,axiom,
% 39.29/39.39 ! [V_w,T_a] :
% 39.29/39.39 ( class_Int_Onumber__ring(T_a)
% 39.29/39.39 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_complex__diff__def,axiom,
% 39.29/39.39 ! [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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__i,axiom,
% 39.29/39.39 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__minus__right,axiom,
% 39.29/39.39 ! [V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__minus__left,axiom,
% 39.29/39.39 ! [V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_inverse__minus__eq,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_nonzero__inverse__minus__eq,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_power__minus,axiom,
% 39.29/39.39 ! [V_n,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Oring__1(T_a)
% 39.29/39.39 => 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)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_realpow__two__disj,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.39 ( class_Rings_Oidom(T_a)
% 39.29/39.39 => ( 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))))
% 39.29/39.39 <=> ( V_x_2 = V_y_2
% 39.29/39.39 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_diff__number__of__eq,axiom,
% 39.29/39.39 ! [V_w,V_v,T_a] :
% 39.29/39.39 ( class_Int_Onumber__ring(T_a)
% 39.29/39.39 => c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__add__le__0__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2] :
% 39.29/39.39 ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__0__le__add__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2] :
% 39.29/39.39 ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__add__less__0__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2] :
% 39.29/39.39 ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_real__0__less__add__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2] :
% 39.29/39.39 ( 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))
% 39.29/39.39 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__numeral__code_I6_J,axiom,
% 39.29/39.39 ! [V_w,V_v] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_i__mult__eq2,axiom,
% 39.29/39.39 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)) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_Deriv_Oinverse__diff__inverse,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odivision__ring(T_a)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => 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))) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_add__number__of__diff2,axiom,
% 39.29/39.39 ! [V_w,V_c,V_v,T_a] :
% 39.29/39.39 ( class_Int_Onumber__ring(T_a)
% 39.29/39.39 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Ominus__class_Ominus(T_a,V_c,c_Int_Onumber__class_Onumber__of(T_a,V_w))) = c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))),V_c) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_order,axiom,
% 39.29/39.39 ! [V_a,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Oidom(T_a)
% 39.29/39.39 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 39.29/39.39 => ( 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)
% 39.29/39.39 & ~ 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) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_order__2,axiom,
% 39.29/39.39 ! [V_a,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Oidom(T_a)
% 39.29/39.39 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 39.29/39.39 => ~ 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) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__0__right,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__div__neg,axiom,
% 39.29/39.39 ! [V_x,V_y,T_a] :
% 39.29/39.39 ( class_Divides_Oring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_y,V_x)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__neg__div,axiom,
% 39.29/39.39 ! [V_x,V_y,T_a] :
% 39.29/39.39 ( class_Divides_Oring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_y,V_x)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x),V_y) = c_Groups_Ouminus__class_Ouminus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_zminus__zminus,axiom,
% 39.29/39.39 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__minus__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 39.29/39.39 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_minus__dvd__iff,axiom,
% 39.29/39.39 ! [V_y_2,V_x_2,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__ring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2)
% 39.29/39.39 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__div__eq__mult,axiom,
% 39.29/39.39 ! [V_ca_2,V_b_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2)
% 39.29/39.39 => ( c_Divides_Odiv__class_Odiv(T_a,V_b_2,V_aa_2) = V_ca_2
% 39.29/39.39 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2) ) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__div__div__eq__mult,axiom,
% 39.29/39.39 ! [V_d_2,V_b_2,V_ca_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_ca_2,V_d_2)
% 39.29/39.39 => ( c_Divides_Odiv__class_Odiv(T_a,V_b_2,V_aa_2) = c_Divides_Odiv__class_Odiv(T_a,V_d_2,V_ca_2)
% 39.29/39.39 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_d_2) ) ) ) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__smult__cancel,axiom,
% 39.29/39.39 ! [V_q,V_a,V_p,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q))
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__dvd,axiom,
% 39.29/39.39 ! [V_a,V_q,V_p,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 39.29/39.39 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__smult__iff,axiom,
% 39.29/39.39 ! [V_qa_2,V_pb_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Fields_Ofield(T_a)
% 39.29/39.39 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,c_Polynomial_Osmult(T_a,V_aa_2,V_qa_2))
% 39.29/39.39 <=> c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,V_qa_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_smult__dvd__cancel,axiom,
% 39.29/39.39 ! [V_q,V_p,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__smult,axiom,
% 39.29/39.39 ! [V_a,V_q,V_p,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__add,axiom,
% 39.29/39.39 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_power__le__dvd,axiom,
% 39.29/39.39 ! [V_m,V_b,V_n,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),V_b)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),V_b) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__power__le,axiom,
% 39.29/39.39 ! [V_m,V_n,V_y,V_x,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_le__imp__power__dvd,axiom,
% 39.29/39.39 ! [V_a,V_n,V_m,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 39.29/39.39 => 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)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__mult__cancel__left,axiom,
% 39.29/39.39 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 39.29/39.39 ( class_Rings_Oidom(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 | c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__mult__cancel__right,axiom,
% 39.29/39.39 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 39.29/39.39 ( class_Rings_Oidom(T_a)
% 39.29/39.39 => ( 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))
% 39.29/39.39 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 39.29/39.39 | c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__power__same,axiom,
% 39.29/39.39 ! [V_n,V_y,V_x,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 39.29/39.39 => 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)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__mult__right,axiom,
% 39.29/39.39 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__mult__left,axiom,
% 39.29/39.39 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvdI,axiom,
% 39.29/39.39 ! [V_k,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Odvd(T_a)
% 39.29/39.39 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_mult__dvd__mono,axiom,
% 39.29/39.39 ! [V_d,V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_c,V_d)
% 39.29/39.39 => 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)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__mult,axiom,
% 39.29/39.39 ! [V_b,V_c,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__mult2,axiom,
% 39.29/39.39 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__triv__right,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__triv__left,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__0__left,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 39.29/39.39 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__trans,axiom,
% 39.29/39.39 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__refl,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_one__dvd,axiom,
% 39.29/39.39 ! [V_a,T_a] :
% 39.29/39.39 ( class_Rings_Ocomm__semiring__1(T_a)
% 39.29/39.39 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_div__power,axiom,
% 39.29/39.39 ! [V_n,V_x,V_y,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_y,V_x)
% 39.29/39.39 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)),V_n) = c_Divides_Odiv__class_Odiv(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)) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_div__add,axiom,
% 39.29/39.39 ! [V_y,V_x,V_z,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_z,V_x)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_z,V_y)
% 39.29/39.39 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y),V_z) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_x,V_z),c_Divides_Odiv__class_Odiv(T_a,V_y,V_z)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_div__mult__div__if__dvd,axiom,
% 39.29/39.39 ! [V_w,V_z,V_x,V_y,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_y,V_x)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_z,V_w)
% 39.29/39.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)),c_Divides_Odiv__class_Odiv(T_a,V_w,V_z)) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__div__mult,axiom,
% 39.29/39.39 ! [V_c,V_b,V_a,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 39.29/39.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)),V_c) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c),V_a) ) ) ).
% 39.29/39.39
% 39.29/39.39 fof(fact_dvd__div__mult__self,axiom,
% 39.29/39.39 ! [V_b,V_a,T_a] :
% 39.29/39.39 ( class_Divides_Osemiring__div(T_a)
% 39.29/39.39 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 39.29/39.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)),V_a) = V_b ) ) ).
% 39.29/39.39
% 39.29/39.39 %----Arity declarations (287)
% 39.29/39.39 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 39.29/39.39 ! [T_1] :
% 39.29/39.39 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 39.29/39.39 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 39.29/39.39 ! [T_2,T_1] :
% 39.29/39.39 ( class_Lattices_Oboolean__algebra(T_1)
% 39.29/39.39 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_fun__Orderings_Opreorder,axiom,
% 39.29/39.39 ! [T_2,T_1] :
% 39.29/39.39 ( class_Orderings_Opreorder(T_1)
% 39.29/39.39 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_fun__Orderings_Oorder,axiom,
% 39.29/39.39 ! [T_2,T_1] :
% 39.29/39.39 ( class_Orderings_Oorder(T_1)
% 39.29/39.39 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_fun__Orderings_Oord,axiom,
% 39.29/39.39 ! [T_2,T_1] :
% 39.29/39.39 ( class_Orderings_Oord(T_1)
% 39.29/39.39 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_fun__Groups_Ouminus,axiom,
% 39.29/39.39 ! [T_2,T_1] :
% 39.29/39.39 ( class_Groups_Ouminus(T_1)
% 39.29/39.39 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_fun__Groups_Ominus,axiom,
% 39.29/39.39 ! [T_2,T_1] :
% 39.29/39.39 ( class_Groups_Ominus(T_1)
% 39.29/39.39 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 39.29/39.39 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 39.29/39.39 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 39.29/39.39 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 39.29/39.39 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 39.29/39.39 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 39.29/39.39 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 39.29/39.39 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 39.29/39.39 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 39.29/39.39 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 39.29/39.39 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 39.29/39.39 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 39.29/39.39 class_Orderings_Opreorder(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 39.29/39.39 class_Orderings_Olinorder(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 39.29/39.39 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 39.29/39.39 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 39.29/39.39 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 39.29/39.39 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 39.29/39.39 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 39.29/39.39 class_Divides_Oring__div(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 39.29/39.39 class_Rings_Omult__zero(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 39.29/39.39 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 39.29/39.39 class_Orderings_Oorder(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 39.29/39.39 class_Int_Oring__char__0(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 39.29/39.39 class_Int_Onumber__ring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 39.29/39.39 class_Rings_Osemiring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 39.29/39.39 class_Orderings_Oord(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 39.29/39.39 class_Groups_Ouminus(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 39.29/39.39 class_Rings_Oring__1(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 39.29/39.39 class_Groups_Ominus(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Power_Opower,axiom,
% 39.29/39.39 class_Power_Opower(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 39.29/39.39 class_Groups_Ozero(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oring,axiom,
% 39.29/39.39 class_Rings_Oring(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 39.29/39.39 class_Rings_Oidom(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Int_Onumber,axiom,
% 39.29/39.39 class_Int_Onumber(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Groups_Oone,axiom,
% 39.29/39.39 class_Groups_Oone(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 39.29/39.39 class_Rings_Odvd(tc_Int_Oint) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 39.29/39.39 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 39.29/39.39 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 39.29/39.39 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 39.29/39.39 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 39.29/39.39 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 39.29/39.39 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 39.29/39.39 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 39.29/39.39 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 39.29/39.39 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 39.29/39.39 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 39.29/39.39 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 39.29/39.39 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 39.29/39.39 class_Orderings_Oorder(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 39.29/39.39 class_Rings_Osemiring(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 39.29/39.39 class_Orderings_Oord(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 39.29/39.39 class_Groups_Ominus(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Power_Opower,axiom,
% 39.29/39.39 class_Power_Opower(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 39.29/39.39 class_Groups_Ozero(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 39.29/39.39 class_Int_Onumber(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 39.29/39.39 class_Groups_Oone(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 39.29/39.39 class_Rings_Odvd(tc_Nat_Onat) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 39.29/39.39 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 39.29/39.39 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 39.29/39.39 class_Orderings_Oorder(tc_HOL_Obool) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 39.29/39.39 class_Orderings_Oord(tc_HOL_Obool) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 39.29/39.39 class_Groups_Ouminus(tc_HOL_Obool) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 39.29/39.39 class_Groups_Ominus(tc_HOL_Obool) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 39.29/39.39 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
% 39.29/39.39 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 39.29/39.39 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
% 39.29/39.39 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 39.29/39.39 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 39.29/39.39 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 39.29/39.39 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 39.29/39.39 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 39.29/39.39 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 39.29/39.39 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
% 39.29/39.39 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
% 39.29/39.39 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 39.29/39.39 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 39.29/39.39 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 39.29/39.39 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 39.29/39.39 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
% 39.29/39.39 class_Fields_Olinordered__field(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 39.29/39.39 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 39.29/39.39 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 39.29/39.39 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 39.29/39.39 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 39.29/39.39 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
% 39.29/39.39 class_Rings_Odivision__ring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 39.29/39.39 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 39.29/39.39 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 39.29/39.39 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 39.29/39.39 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 39.29/39.39 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 39.29/39.39 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 39.29/39.39 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
% 39.29/39.39 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 39.29/39.39 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 39.29/39.39 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 39.29/39.39 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 39.29/39.39 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
% 39.29/39.39 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ).
% 39.29/39.39
% 39.29/39.39 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 39.29/39.40 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 39.29/39.40 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 39.29/39.40 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 39.29/39.40 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 39.29/39.40 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
% 39.29/39.40 class_Groups_Ouminus(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 39.29/39.40 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
% 39.29/39.40 class_Groups_Ominus(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
% 39.29/39.40 class_Fields_Ofield(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 39.29/39.40 class_Power_Opower(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 39.29/39.40 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 39.29/39.40 class_Rings_Oring(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
% 39.29/39.40 class_Rings_Oidom(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Int_Onumber,axiom,
% 39.29/39.40 class_Int_Onumber(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 39.29/39.40 class_Groups_Oone(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_RealDef__Oreal__Rings_Odvd,axiom,
% 39.29/39.40 class_Rings_Odvd(tc_RealDef_Oreal) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 39.29/39.40 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 39.29/39.40 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
% 39.29/39.40 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 39.29/39.40 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 39.29/39.40 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 39.29/39.40 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 39.29/39.40 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 39.29/39.40 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 39.29/39.40 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 39.29/39.40 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
% 39.29/39.40 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 39.29/39.40 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 39.29/39.40 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 39.29/39.40 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 39.29/39.40 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 39.29/39.40 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 39.29/39.40 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 39.29/39.40 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
% 39.29/39.40 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 39.29/39.40 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 39.29/39.40 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 39.29/39.40 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 39.29/39.40 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 39.29/39.40 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 39.29/39.40 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 39.29/39.40 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 39.29/39.40 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 39.29/39.40 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 39.29/39.40 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 39.29/39.40 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 39.29/39.40 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 39.29/39.40 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 39.29/39.40 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 39.29/39.40 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
% 39.29/39.40 class_Groups_Ominus(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 39.29/39.40 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 39.29/39.40 class_Power_Opower(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 39.29/39.40 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 39.29/39.40 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 39.29/39.40 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Int_Onumber,axiom,
% 39.29/39.40 class_Int_Onumber(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 39.29/39.40 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom,
% 39.29/39.40 class_Rings_Odvd(tc_Complex_Ocomplex) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Oidom(T_1)
% 39.29/39.40 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 39.29/39.40 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Oidom(T_1)
% 39.29/39.40 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Oidom(T_1)
% 39.29/39.40 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 39.29/39.40 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__0(T_1)
% 39.29/39.40 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Ocomm__monoid__add(T_1)
% 39.29/39.40 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Oidom(T_1)
% 39.29/39.40 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Ocomm__monoid__add(T_1)
% 39.29/39.40 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__0(T_1)
% 39.29/39.40 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Fields_Ofield(T_1)
% 39.29/39.40 => class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__0(T_1)
% 39.29/39.40 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Oab__group__add(T_1)
% 39.29/39.40 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__ring__1(T_1)
% 39.29/39.40 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Ocomm__monoid__add(T_1)
% 39.29/39.40 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__0(T_1)
% 39.29/39.40 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Oab__group__add(T_1)
% 39.29/39.40 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Fields_Ofield(T_1)
% 39.29/39.40 => class_Divides_Oring__div(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__0(T_1)
% 39.29/39.40 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__ring(T_1)
% 39.29/39.40 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__ring__1(T_1)
% 39.29/39.40 => class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__0(T_1)
% 39.29/39.40 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Olinordered__idom(T_1)
% 39.29/39.40 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Oab__group__add(T_1)
% 39.29/39.40 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__ring__1(T_1)
% 39.29/39.40 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Oab__group__add(T_1)
% 39.29/39.40 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Groups_Ozero(T_1)
% 39.29/39.40 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__ring(T_1)
% 39.29/39.40 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Oidom(T_1)
% 39.29/39.40 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Int_Onumber,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__ring__1(T_1)
% 39.29/39.40 => class_Int_Onumber(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom,
% 39.29/39.40 ! [T_1] :
% 39.29/39.40 ( class_Rings_Ocomm__semiring__1(T_1)
% 39.29/39.40 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ).
% 39.29/39.40
% 39.29/39.40 %----Conjectures (1)
% 39.29/39.40 fof(conj_0,conjecture,
% 39.29/39.40 ? [B_x,B_y] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),B_y),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) ).
% 39.29/39.40
% 39.29/39.40 %------------------------------------------------------------------------------
% 39.29/39.40 %-------------------------------------------
% 39.29/39.40 % Proof found
% 39.29/39.40 % SZS status Theorem for theBenchmark
% 39.29/39.40 % SZS output start Proof
% 39.29/39.40 %ClaNum:1872(EqnAxiom:200)
% 39.29/39.40 %VarNum:9546(SingletonVarNum:3274)
% 39.29/39.40 %MaxLitNum:7
% 39.29/39.40 %MaxfuncDepth:7
% 39.29/39.40 %SharedTerms:344
% 39.29/39.40 %goalClause: 541
% 39.29/39.40 %singleGoalClaCount:1
% 39.29/39.40 [201]P1(a1)
% 39.29/39.40 [202]P1(a2)
% 39.29/39.40 [203]P1(a59)
% 39.29/39.40 [204]P1(a61)
% 39.29/39.40 [205]P42(a1)
% 39.29/39.40 [206]P42(a2)
% 39.29/39.40 [207]P42(a59)
% 39.29/39.40 [208]P42(a61)
% 39.29/39.40 [209]P2(a1)
% 39.29/39.40 [210]P2(a2)
% 39.29/39.40 [211]P2(a59)
% 39.29/39.40 [212]P2(a61)
% 39.29/39.40 [213]P51(a1)
% 39.29/39.40 [214]P51(a2)
% 39.29/39.40 [215]P51(a59)
% 39.29/39.40 [216]P51(a61)
% 39.29/39.40 [217]P52(a1)
% 39.29/39.40 [218]P52(a2)
% 39.29/39.40 [219]P52(a59)
% 39.29/39.40 [220]P52(a61)
% 39.29/39.40 [221]P66(a1)
% 39.29/39.40 [222]P66(a2)
% 39.29/39.40 [223]P66(a59)
% 39.29/39.40 [224]P66(a61)
% 39.29/39.40 [225]P76(a1)
% 39.29/39.40 [226]P76(a2)
% 39.29/39.40 [227]P76(a59)
% 39.29/39.40 [228]P76(a61)
% 39.29/39.40 [229]P67(a2)
% 39.29/39.40 [230]P67(a59)
% 39.29/39.40 [231]P67(a61)
% 39.29/39.40 [232]P3(a1)
% 39.29/39.40 [233]P3(a2)
% 39.29/39.40 [234]P3(a59)
% 39.29/39.40 [235]P3(a61)
% 39.29/39.40 [236]P43(a2)
% 39.29/39.40 [237]P43(a61)
% 39.29/39.40 [238]P21(a2)
% 39.29/39.40 [239]P21(a59)
% 39.29/39.40 [240]P21(a61)
% 39.29/39.40 [241]P4(a2)
% 39.29/39.40 [242]P4(a59)
% 39.29/39.40 [243]P4(a61)
% 39.29/39.40 [244]P74(a2)
% 39.29/39.40 [245]P74(a59)
% 39.29/39.40 [246]P74(a61)
% 39.29/39.40 [247]P25(a1)
% 39.29/39.40 [248]P25(a2)
% 39.29/39.40 [249]P25(a59)
% 39.29/39.40 [250]P25(a61)
% 39.29/39.40 [251]P15(a1)
% 39.29/39.40 [252]P15(a2)
% 39.29/39.40 [253]P15(a59)
% 39.29/39.40 [254]P15(a61)
% 39.29/39.40 [255]P44(a2)
% 39.29/39.40 [256]P44(a59)
% 39.29/39.40 [257]P44(a61)
% 39.29/39.40 [258]P22(a1)
% 39.29/39.40 [259]P22(a2)
% 39.29/39.40 [260]P22(a59)
% 39.29/39.40 [261]P22(a61)
% 39.29/39.40 [262]P22(a60)
% 39.29/39.40 [263]P53(a1)
% 39.29/39.40 [264]P53(a59)
% 39.29/39.40 [265]P53(a61)
% 39.29/39.40 [266]P23(a59)
% 39.29/39.40 [267]P23(a61)
% 39.29/39.40 [268]P26(a1)
% 39.29/39.40 [269]P26(a59)
% 39.29/39.40 [270]P26(a61)
% 39.29/39.40 [271]P62(a59)
% 39.29/39.40 [272]P62(a61)
% 39.29/39.40 [273]P27(a1)
% 39.29/39.40 [274]P27(a59)
% 39.29/39.40 [275]P27(a61)
% 39.29/39.40 [276]P17(a1)
% 39.29/39.40 [277]P17(a2)
% 39.29/39.40 [278]P17(a59)
% 39.29/39.40 [279]P17(a61)
% 39.29/39.40 [280]P18(a1)
% 39.29/39.40 [281]P18(a2)
% 39.29/39.40 [282]P18(a59)
% 39.29/39.40 [283]P18(a61)
% 39.29/39.40 [284]P28(a1)
% 39.29/39.40 [285]P28(a59)
% 39.29/39.40 [286]P28(a61)
% 39.29/39.40 [287]P31(a1)
% 39.29/39.40 [288]P31(a59)
% 39.29/39.40 [289]P31(a61)
% 39.29/39.40 [290]P54(a59)
% 39.29/39.40 [291]P54(a61)
% 39.29/39.40 [292]P16(a1)
% 39.29/39.40 [293]P16(a2)
% 39.29/39.40 [294]P16(a59)
% 39.29/39.40 [295]P16(a61)
% 39.29/39.40 [296]P29(a1)
% 39.29/39.40 [297]P29(a2)
% 39.29/39.40 [298]P29(a59)
% 39.29/39.40 [299]P29(a61)
% 39.29/39.40 [300]P63(a59)
% 39.29/39.40 [301]P63(a61)
% 39.29/39.40 [302]P68(a2)
% 39.29/39.40 [303]P68(a59)
% 39.29/39.40 [304]P68(a61)
% 39.29/39.40 [305]P60(a59)
% 39.29/39.40 [306]P60(a61)
% 39.29/39.40 [307]P61(a59)
% 39.29/39.40 [308]P61(a61)
% 39.29/39.40 [309]P65(a1)
% 39.29/39.40 [310]P65(a59)
% 39.29/39.40 [311]P65(a61)
% 39.29/39.40 [312]P64(a1)
% 39.29/39.40 [313]P64(a59)
% 39.29/39.40 [314]P64(a61)
% 39.29/39.40 [315]P69(a59)
% 39.29/39.40 [316]P69(a61)
% 39.29/39.40 [317]P77(a1)
% 39.29/39.40 [318]P77(a2)
% 39.29/39.40 [319]P77(a59)
% 39.29/39.40 [320]P77(a61)
% 39.29/39.40 [321]P20(a1)
% 39.29/39.40 [322]P20(a2)
% 39.29/39.40 [323]P20(a59)
% 39.29/39.40 [324]P20(a61)
% 39.29/39.40 [325]P24(a1)
% 39.29/39.40 [326]P24(a2)
% 39.29/39.40 [327]P24(a59)
% 39.29/39.40 [328]P24(a61)
% 39.29/39.40 [329]P75(a1)
% 39.29/39.40 [330]P75(a2)
% 39.29/39.40 [331]P75(a59)
% 39.29/39.40 [332]P75(a61)
% 39.29/39.40 [333]P49(a1)
% 39.29/39.40 [334]P49(a2)
% 39.29/39.40 [335]P49(a59)
% 39.29/39.40 [336]P49(a61)
% 39.29/39.40 [337]P30(a59)
% 39.29/39.40 [338]P30(a61)
% 39.29/39.40 [339]P72(a2)
% 39.29/39.40 [340]P72(a59)
% 39.29/39.40 [341]P72(a61)
% 39.29/39.40 [342]P55(a1)
% 39.29/39.40 [343]P55(a59)
% 39.29/39.40 [344]P55(a61)
% 39.29/39.40 [345]P70(a1)
% 39.29/39.40 [346]P70(a59)
% 39.29/39.40 [347]P70(a61)
% 39.29/39.40 [348]P73(a1)
% 39.29/39.40 [349]P73(a59)
% 39.29/39.40 [350]P73(a61)
% 39.29/39.40 [351]P71(a1)
% 39.29/39.40 [352]P71(a59)
% 39.29/39.40 [353]P71(a61)
% 39.29/39.40 [354]P33(a1)
% 39.29/39.40 [355]P33(a59)
% 39.29/39.40 [356]P33(a61)
% 39.29/39.40 [357]P33(a60)
% 39.29/39.40 [358]P34(a1)
% 39.29/39.40 [359]P34(a59)
% 39.29/39.40 [360]P34(a61)
% 39.29/39.40 [361]P40(a1)
% 39.29/39.40 [362]P40(a59)
% 39.29/39.40 [363]P40(a61)
% 39.29/39.40 [364]P40(a60)
% 39.29/39.40 [365]P41(a1)
% 39.29/39.40 [366]P41(a59)
% 39.29/39.40 [367]P41(a61)
% 39.29/39.40 [368]P41(a60)
% 39.29/39.40 [369]P35(a2)
% 39.29/39.40 [370]P35(a59)
% 39.29/39.40 [371]P35(a61)
% 39.29/39.40 [372]P37(a2)
% 39.29/39.40 [373]P37(a59)
% 39.29/39.40 [374]P37(a61)
% 39.29/39.40 [375]P36(a1)
% 39.29/39.40 [376]P36(a2)
% 39.29/39.40 [377]P36(a59)
% 39.29/39.40 [378]P36(a61)
% 39.29/39.40 [379]P5(a1)
% 39.29/39.40 [380]P5(a59)
% 39.29/39.40 [381]P50(a1)
% 39.29/39.40 [382]P50(a2)
% 39.29/39.40 [383]P50(a59)
% 39.29/39.40 [384]P50(a61)
% 39.29/39.40 [385]P45(a2)
% 39.29/39.40 [386]P45(a61)
% 39.29/39.40 [387]P46(a2)
% 39.29/39.40 [388]P46(a61)
% 39.29/39.40 [389]P47(a2)
% 39.29/39.40 [390]P47(a61)
% 39.29/39.40 [391]P56(a2)
% 39.29/39.40 [392]P56(a59)
% 39.29/39.40 [393]P56(a61)
% 39.29/39.40 [394]P48(a2)
% 39.29/39.40 [395]P48(a59)
% 39.29/39.40 [396]P48(a61)
% 39.29/39.40 [397]P11(a2)
% 39.29/39.40 [398]P11(a61)
% 39.29/39.40 [399]P57(a2)
% 39.29/39.40 [400]P57(a61)
% 39.29/39.40 [401]P58(a2)
% 39.29/39.40 [402]P58(a61)
% 39.29/39.40 [403]P12(a61)
% 39.29/39.40 [404]P13(a2)
% 39.29/39.40 [405]P13(a61)
% 39.29/39.40 [406]P14(a61)
% 39.29/39.40 [407]P38(a60)
% 39.29/39.40 [408]P32(a2)
% 39.29/39.40 [409]P32(a59)
% 39.29/39.40 [410]P32(a61)
% 39.29/39.40 [411]P32(a60)
% 39.29/39.40 [412]P6(a59)
% 39.29/39.40 [413]P59(a1)
% 39.29/39.40 [414]P59(a2)
% 39.29/39.40 [415]P59(a59)
% 39.29/39.40 [416]P59(a61)
% 39.29/39.40 [417]P19(a1)
% 39.29/39.40 [418]P19(a2)
% 39.29/39.40 [419]P19(a59)
% 39.29/39.40 [420]P19(a61)
% 39.29/39.40 [424]E(f6(a2,a63),f6(a2,a69))
% 39.29/39.40 [425]E(f6(a2,a24),f6(a2,a63))
% 39.29/39.40 [426]E(f6(a2,a32),f6(a2,a63))
% 39.29/39.40 [427]E(f13(a2,a7),f5(a2,a7))
% 39.29/39.40 [451]P7(a59,f4(a59),f10(a59))
% 39.29/39.40 [452]P8(a59,f4(a59),f10(a59))
% 39.29/39.40 [546]~E(f4(a1),a67)
% 39.29/39.40 [547]~E(f4(a2),a65)
% 39.29/39.40 [548]~E(f4(a2),a7)
% 39.29/39.40 [549]~E(f10(a2),a7)
% 39.29/39.40 [550]~E(f4(a1),a38)
% 39.29/39.40 [551]~E(f4(a2),a45)
% 39.29/39.40 [552]~E(f10(a59),f4(a59))
% 39.29/39.40 [553]~E(f10(a61),f4(a61))
% 39.29/39.40 [571]~P9(a2,a2,f14(a2,a63))
% 39.29/39.40 [573]~P9(a2,a2,f14(a2,a69))
% 39.29/39.40 [574]~P9(a2,a2,f14(a2,a68))
% 39.29/39.40 [422]E(f13(a61,f4(a61)),f4(a61))
% 39.29/39.40 [423]E(f5(a59,f4(a59)),f4(a59))
% 39.29/39.40 [454]E(f36(f14(a2,a69),f4(a2)),f36(f14(a2,a63),a64))
% 39.29/39.40 [487]P8(a1,f12(a1,a67,f10(a1)),f6(a2,a63))
% 39.29/39.40 [539]E(f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f4(a2)),f10(a2))
% 39.29/39.40 [555]~E(f36(f14(a2,a63),a64),f4(a2))
% 39.29/39.40 [556]~E(f36(f14(a2,a69),f4(a2)),f4(a2))
% 39.29/39.40 [570]~E(f12(a1,a67,f10(a1)),f6(a2,a63))
% 39.29/39.40 [447]E(f36(f36(f9(a2),a7),a7),f5(a2,f10(a2)))
% 39.29/39.40 [526]E(f6(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f6(a2,a69))
% 39.29/39.40 [533]E(f6(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f12(a1,f12(a1,f6(a2,a70),a67),f10(a1)))
% 39.29/39.40 [534]E(f6(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f12(a1,f12(a1,f6(a2,a37),a38),f10(a1)))
% 39.29/39.40 [579]~P9(a2,a2,f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)))
% 39.29/39.40 [580]~E(f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),a39),f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),a44))
% 39.29/39.40 [432]P7(a1,x4321,x4321)
% 39.29/39.40 [433]P7(a59,x4331,x4331)
% 39.29/39.40 [434]P7(a61,x4341,x4341)
% 39.29/39.40 [558]~P8(a1,x5581,x5581)
% 39.29/39.40 [421]E(f3(a59,x4211),x4211)
% 39.29/39.40 [439]E(f11(a1,x4391,x4391),f4(a1))
% 39.29/39.40 [441]P7(a1,f4(a1),x4411)
% 39.29/39.40 [554]~E(f3(a2,x5541),a7)
% 39.29/39.40 [561]~P8(a1,x5611,f4(a1))
% 39.29/39.40 [428]E(f5(a59,f5(a59,x4281)),x4281)
% 39.29/39.40 [429]E(f36(f36(f9(a1),x4291),f10(a1)),x4291)
% 39.29/39.40 [430]E(f36(f36(f9(a59),x4301),f10(a59)),x4301)
% 39.29/39.40 [431]E(f36(f36(f9(a1),x4311),f4(a1)),f4(a1))
% 39.29/39.40 [442]E(f11(a1,x4421,f4(a1)),x4421)
% 39.29/39.40 [443]E(f12(a1,x4431,f4(a1)),x4431)
% 39.29/39.40 [444]E(f12(a59,x4441,f4(a59)),x4441)
% 39.29/39.40 [445]E(f12(a1,f4(a1),x4451),x4451)
% 39.29/39.40 [446]E(f12(a59,f4(a59),x4461),x4461)
% 39.29/39.40 [448]E(f11(a1,f4(a1),x4481),f4(a1))
% 39.29/39.40 [449]E(f8(a59,f4(a59),x4491),f4(a59))
% 39.29/39.40 [455]E(f5(a59,f3(a59,x4551)),f3(a59,f5(a59,x4551)))
% 39.29/39.40 [456]E(f12(a59,f5(a59,x4561),x4561),f4(a59))
% 39.29/39.40 [470]P7(a61,f5(a61,f19(a2,x4701)),f19(a2,x4701))
% 39.29/39.40 [480]P8(a1,x4801,f12(a1,x4801,f10(a1)))
% 39.29/39.40 [481]P8(a1,f4(a1),f12(a1,x4811,f10(a1)))
% 39.29/39.40 [483]E(f36(f14(a2,a63),f12(a2,a64,x4831)),f36(f14(a2,a69),x4831))
% 39.29/39.40 [484]E(f36(f14(a2,a63),f12(a2,a64,x4841)),f36(f14(a2,a24),x4841))
% 39.29/39.40 [485]E(f36(f14(a2,a63),f12(a2,a64,x4851)),f36(f14(a2,a32),x4851))
% 39.29/39.40 [563]~E(f12(a1,x5631,f10(a1)),x5631)
% 39.29/39.40 [569]~E(f12(a1,x5691,f10(a1)),f4(a1))
% 39.29/39.40 [577]~P7(a1,f12(a1,x5771,f10(a1)),x5771)
% 39.29/39.40 [435]E(f36(f36(f9(a1),f10(a1)),x4351),x4351)
% 39.29/39.40 [436]E(f36(f36(f9(a59),f10(a59)),x4361),x4361)
% 39.29/39.40 [437]E(f36(f36(f9(a61),f10(a61)),x4371),x4371)
% 39.29/39.40 [438]E(f36(f36(f9(a1),f4(a1)),x4381),f4(a1))
% 39.29/39.40 [469]P7(a1,x4691,f36(f36(f9(a1),x4691),x4691))
% 39.29/39.40 [486]E(f8(a1,x4861,f12(a1,f4(a1),f10(a1))),x4861)
% 39.29/39.40 [513]P7(a61,f19(a2,f36(f14(a2,a63),a64)),f19(a2,f36(f14(a2,a63),x5131)))
% 39.29/39.40 [520]P7(a61,f19(a2,f36(f14(a2,a69),f4(a2))),f19(a2,f36(f14(a2,a63),x5201)))
% 39.29/39.40 [542]E(f36(f36(f9(a2),f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),x5421)),f36(f14(a2,a69),f4(a2))),f36(f14(a2,a69),x5421))
% 39.29/39.40 [578]~E(f12(a59,f12(a59,f10(a59),x5781),x5781),f4(a59))
% 39.29/39.40 [468]E(f36(f36(f9(a2),a7),f36(f36(f9(a2),a7),x4681)),f5(a2,x4681))
% 39.29/39.40 [507]P7(a1,x5071,f36(f36(f9(a1),x5071),f36(f36(f9(a1),x5071),x5071)))
% 39.29/39.40 [511]E(f36(f36(f23(a1),f12(a1,f4(a1),f10(a1))),x5111),f12(a1,f4(a1),f10(a1)))
% 39.29/39.40 [544]E(f12(a2,f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f4(a2)),f36(f36(f9(a2),f36(f36(f23(a2),x5441),a67)),f36(f14(a2,f15(a2,a65,a70)),x5441))),f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),x5441))
% 39.29/39.40 [545]E(f12(a2,f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f4(a2)),f36(f36(f9(a2),f36(f36(f23(a2),x5451),a38)),f36(f14(a2,f15(a2,a45,a37)),x5451))),f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),x5451))
% 39.29/39.40 [460]E(f12(a1,x4601,x4602),f12(a1,x4602,x4601))
% 39.29/39.40 [461]E(f12(a59,x4611,x4612),f12(a59,x4612,x4611))
% 39.29/39.40 [473]P7(a1,x4731,f12(a1,x4732,x4731))
% 39.29/39.40 [474]P7(a1,x4741,f12(a1,x4741,x4742))
% 39.29/39.40 [475]P7(a1,f11(a1,x4751,x4752),x4751)
% 39.29/39.40 [476]P7(a1,f8(a1,x4761,x4762),x4761)
% 39.29/39.40 [575]~P8(a1,f12(a1,x5751,x5752),x5752)
% 39.29/39.40 [576]~P8(a1,f12(a1,x5761,x5762),x5761)
% 39.29/39.40 [463]E(f12(a2,x4631,f5(a2,x4632)),f11(a2,x4631,x4632))
% 39.29/39.40 [466]E(f12(a61,x4661,f5(a61,x4662)),f11(a61,x4661,x4662))
% 39.29/39.40 [467]E(f12(a59,x4671,f5(a59,x4672)),f11(a59,x4671,x4672))
% 39.29/39.40 [471]E(f8(a59,f5(a59,x4711),x4712),f8(a59,x4711,f5(a59,x4712)))
% 39.29/39.40 [472]E(f8(a59,f5(a59,x4721),f5(a59,x4722)),f8(a59,x4721,x4722))
% 39.29/39.40 [477]E(f11(a1,f12(a1,x4771,x4772),x4772),x4771)
% 39.29/39.40 [478]E(f11(a1,f12(a1,x4781,x4782),x4781),x4782)
% 39.29/39.40 [479]E(f11(a1,x4791,f12(a1,x4791,x4792)),f4(a1))
% 39.29/39.40 [489]E(f12(a59,f5(a59,x4891),f5(a59,x4892)),f5(a59,f12(a59,x4891,x4892)))
% 39.29/39.40 [490]E(f12(a59,f3(a59,x4901),f3(a59,x4902)),f3(a59,f12(a59,x4901,x4902)))
% 39.29/39.40 [494]P8(a1,f11(a1,x4941,x4942),f12(a1,x4941,f10(a1)))
% 39.29/39.40 [518]P8(a1,x5181,f12(a1,f12(a1,x5182,x5181),f10(a1)))
% 39.29/39.40 [519]P8(a1,x5191,f12(a1,f12(a1,x5191,x5192),f10(a1)))
% 39.29/39.40 [536]P7(a61,f19(a2,x5361),f12(a61,f19(a2,f12(a2,x5361,x5362)),f19(a2,x5362)))
% 39.29/39.40 [537]P7(a61,f11(a61,f19(a2,f12(a2,x5371,x5372)),f19(a2,x5371)),f19(a2,x5372))
% 39.29/39.40 [457]E(f36(f36(f9(a1),x4571),x4572),f36(f36(f9(a1),x4572),x4571))
% 39.29/39.40 [458]E(f36(f36(f9(a59),x4581),x4582),f36(f36(f9(a59),x4582),x4581))
% 39.29/39.40 [459]E(f36(f36(f9(a61),x4591),x4592),f36(f36(f9(a61),x4592),x4591))
% 39.29/39.40 [493]E(f11(a59,f3(a59,x4931),f3(a59,x4932)),f3(a59,f12(a59,x4931,f5(a59,x4932))))
% 39.29/39.40 [506]E(f12(a1,f12(a1,x5061,f10(a1)),x5062),f12(a1,f12(a1,x5061,x5062),f10(a1)))
% 39.29/39.40 [508]E(f11(a1,f11(a1,x5081,f10(a1)),x5082),f11(a1,x5081,f12(a1,x5082,f10(a1))))
% 39.29/39.40 [509]E(f12(a1,f12(a1,x5091,f10(a1)),x5092),f12(a1,x5091,f12(a1,x5092,f10(a1))))
% 39.29/39.40 [488]E(f36(f36(f9(a59),f5(a59,x4881)),x4882),f5(a59,f36(f36(f9(a59),x4881),x4882)))
% 39.29/39.40 [491]E(f36(f36(f9(a59),f3(a59,x4911)),f3(a59,x4912)),f3(a59,f36(f36(f9(a59),x4911),x4912)))
% 39.29/39.40 [495]E(f36(f36(f9(a1),x4951),f12(a1,x4952,f10(a1))),f12(a1,x4951,f36(f36(f9(a1),x4951),x4952)))
% 39.29/39.40 [512]P7(a61,f5(a61,f36(f36(f9(a61),x5121),x5121)),f36(f36(f9(a61),x5122),x5122))
% 39.29/39.40 [525]E(f36(f36(f9(a1),f12(a1,x5251,f10(a1))),x5252),f12(a1,x5252,f36(f36(f9(a1),x5251),x5252)))
% 39.29/39.40 [541]E(f36(f36(f9(a2),x5411),f36(f36(f23(a2),x5411),f11(a1,a67,f12(a1,f4(a1),f10(a1))))),f36(f36(f9(a2),x5412),f36(f36(f23(a2),x5412),f11(a1,a67,f12(a1,f4(a1),f10(a1))))))
% 39.29/39.40 [497]E(f12(a1,x4971,f12(a1,x4972,x4973)),f12(a1,x4972,f12(a1,x4971,x4973)))
% 39.29/39.40 [498]E(f12(a59,x4981,f12(a59,x4982,x4983)),f12(a59,x4982,f12(a59,x4981,x4983)))
% 39.29/39.40 [499]E(f11(a1,f11(a1,x4991,x4992),x4993),f11(a1,x4991,f12(a1,x4992,x4993)))
% 39.29/39.40 [500]E(f12(a1,f12(a1,x5001,x5002),x5003),f12(a1,x5001,f12(a1,x5002,x5003)))
% 39.29/39.40 [501]E(f12(a59,f12(a59,x5011,x5012),x5013),f12(a59,x5011,f12(a59,x5012,x5013)))
% 39.29/39.40 [502]E(f11(a1,f11(a1,x5021,x5022),x5023),f11(a1,f11(a1,x5021,x5023),x5022))
% 39.29/39.40 [503]E(f11(a1,f12(a1,x5031,x5032),f12(a1,x5033,x5032)),f11(a1,x5031,x5033))
% 39.29/39.40 [504]E(f11(a1,f12(a1,x5041,x5042),f12(a1,x5041,x5043)),f11(a1,x5042,x5043))
% 39.29/39.40 [535]E(f11(a1,f11(a1,f12(a1,x5351,f10(a1)),x5352),f12(a1,x5353,f10(a1))),f11(a1,f11(a1,x5351,x5352),x5353))
% 39.29/39.40 [496]E(f8(a1,x4961,f36(f36(f9(a1),x4962),x4963)),f8(a1,f8(a1,x4961,x4962),x4963))
% 39.29/39.40 [521]E(f11(a1,f36(f36(f9(a1),x5211),x5212),f36(f36(f9(a1),x5211),x5213)),f36(f36(f9(a1),x5211),f11(a1,x5212,x5213)))
% 39.29/39.40 [522]E(f12(a1,f36(f36(f9(a1),x5221),x5222),f36(f36(f9(a1),x5221),x5223)),f36(f36(f9(a1),x5221),f12(a1,x5222,x5223)))
% 39.29/39.40 [523]E(f11(a59,f36(f36(f9(a59),x5231),x5232),f36(f36(f9(a59),x5231),x5233)),f36(f36(f9(a59),x5231),f11(a59,x5232,x5233)))
% 39.29/39.40 [524]E(f12(a59,f36(f36(f9(a59),x5241),x5242),f36(f36(f9(a59),x5241),x5243)),f36(f36(f9(a59),x5241),f12(a59,x5242,x5243)))
% 39.29/39.40 [527]E(f36(f36(f9(a59),f36(f36(f23(a59),x5271),x5272)),f36(f36(f23(a59),x5271),x5273)),f36(f36(f23(a59),x5271),f12(a1,x5272,x5273)))
% 39.29/39.40 [528]E(f11(a1,f36(f36(f9(a1),x5281),x5282),f36(f36(f9(a1),x5283),x5282)),f36(f36(f9(a1),f11(a1,x5281,x5283)),x5282))
% 39.29/39.40 [529]E(f12(a1,f36(f36(f9(a1),x5291),x5292),f36(f36(f9(a1),x5293),x5292)),f36(f36(f9(a1),f12(a1,x5291,x5293)),x5292))
% 39.29/39.40 [530]E(f11(a59,f36(f36(f9(a59),x5301),x5302),f36(f36(f9(a59),x5303),x5302)),f36(f36(f9(a59),f11(a59,x5301,x5303)),x5302))
% 39.29/39.40 [531]E(f12(a59,f36(f36(f9(a59),x5311),x5312),f36(f36(f9(a59),x5313),x5312)),f36(f36(f9(a59),f12(a59,x5311,x5313)),x5312))
% 39.29/39.40 [532]E(f12(a61,f36(f36(f9(a61),x5321),x5322),f36(f36(f9(a61),x5323),x5322)),f36(f36(f9(a61),f12(a61,x5321,x5323)),x5322))
% 39.29/39.40 [514]E(f36(f36(f23(a59),f36(f36(f23(a59),x5141),x5142)),x5143),f36(f36(f23(a59),x5141),f36(f36(f9(a1),x5142),x5143)))
% 39.29/39.40 [515]E(f36(f36(f9(a1),f36(f36(f9(a1),x5151),x5152)),x5153),f36(f36(f9(a1),x5151),f36(f36(f9(a1),x5152),x5153)))
% 39.29/39.40 [516]E(f36(f36(f9(a59),f36(f36(f9(a59),x5161),x5162)),x5163),f36(f36(f9(a59),x5161),f36(f36(f9(a59),x5162),x5163)))
% 39.29/39.40 [517]E(f36(f36(f9(a61),f36(f36(f9(a61),x5171),x5172)),x5173),f36(f36(f9(a61),x5171),f36(f36(f9(a61),x5172),x5173)))
% 39.29/39.40 [492]E(f36(f36(f20(x4921,x4922,x4923),x4924),f4(a1)),x4922)
% 39.29/39.40 [540]E(f12(a1,f36(f36(f9(a1),x5401),x5402),f12(a1,f36(f36(f9(a1),x5403),x5402),x5404)),f12(a1,f36(f36(f9(a1),f12(a1,x5401,x5403)),x5402),x5404))
% 39.29/39.40 [538]E(f36(f36(f20(x5381,x5382,x5383),x5384),f12(a1,x5385,f10(a1))),f36(f36(x5383,x5384),f36(f36(f20(x5381,x5382,x5383),x5384),x5385)))
% 39.29/39.40 [581]~P42(x5811)+P1(f62(x5811))
% 39.29/39.40 [582]~P42(x5821)+P42(f62(x5821))
% 39.29/39.40 [583]~P42(x5831)+P2(f62(x5831))
% 39.29/39.40 [584]~P50(x5841)+P51(f62(x5841))
% 39.29/39.40 [585]~P50(x5851)+P52(f62(x5851))
% 39.29/39.40 [586]~P56(x5861)+P66(f62(x5861))
% 39.29/39.40 [587]~P42(x5871)+P76(f62(x5871))
% 39.29/39.40 [588]~P56(x5881)+P67(f62(x5881))
% 39.29/39.40 [589]~P42(x5891)+P3(f62(x5891))
% 39.29/39.40 [590]~P4(x5901)+P21(f62(x5901))
% 39.29/39.40 [591]~P4(x5911)+P4(f62(x5911))
% 39.29/39.40 [592]~P56(x5921)+P74(f62(x5921))
% 39.29/39.40 [593]~P25(x5931)+P25(f62(x5931))
% 39.29/39.40 [594]~P50(x5941)+P15(f62(x5941))
% 39.29/39.40 [595]~P44(x5951)+P44(f62(x5951))
% 39.29/39.40 [596]~P4(x5961)+P22(f62(x5961))
% 39.29/39.40 [597]~P54(x5971)+P53(f62(x5971))
% 39.29/39.40 [598]~P54(x5981)+P23(f62(x5981))
% 39.29/39.40 [599]~P54(x5991)+P26(f62(x5991))
% 39.29/39.40 [600]~P54(x6001)+P62(f62(x6001))
% 39.29/39.40 [601]~P54(x6011)+P27(f62(x6011))
% 39.29/39.40 [602]~P19(x6021)+P17(f62(x6021))
% 39.29/39.40 [603]~P19(x6031)+P18(f62(x6031))
% 39.29/39.40 [604]~P54(x6041)+P28(f62(x6041))
% 39.29/39.40 [605]~P54(x6051)+P31(f62(x6051))
% 39.29/39.40 [606]~P54(x6061)+P54(f62(x6061))
% 39.29/39.40 [607]~P20(x6071)+P16(f62(x6071))
% 39.29/39.40 [608]~P42(x6081)+P29(f62(x6081))
% 39.29/39.40 [609]~P54(x6091)+P63(f62(x6091))
% 39.29/39.40 [610]~P44(x6101)+P68(f62(x6101))
% 39.29/39.40 [611]~P54(x6111)+P60(f62(x6111))
% 39.29/39.40 [612]~P54(x6121)+P61(f62(x6121))
% 39.29/39.40 [613]~P54(x6131)+P65(f62(x6131))
% 39.29/39.40 [614]~P54(x6141)+P64(f62(x6141))
% 39.29/39.40 [615]~P54(x6151)+P69(f62(x6151))
% 39.29/39.40 [616]~P56(x6161)+P77(f62(x6161))
% 39.29/39.40 [617]~P20(x6171)+P20(f62(x6171))
% 39.29/39.40 [618]~P20(x6181)+P24(f62(x6181))
% 39.29/39.40 [619]~P50(x6191)+P75(f62(x6191))
% 39.29/39.40 [620]~P50(x6201)+P49(f62(x6201))
% 39.29/39.40 [621]~P54(x6211)+P30(f62(x6211))
% 39.29/39.40 [622]~P48(x6221)+P72(f62(x6221))
% 39.29/39.40 [623]~P54(x6231)+P55(f62(x6231))
% 39.29/39.40 [624]~P54(x6241)+P70(f62(x6241))
% 39.29/39.40 [625]~P54(x6251)+P73(f62(x6251))
% 39.29/39.40 [626]~P54(x6261)+P71(f62(x6261))
% 39.29/39.40 [627]~P54(x6271)+P33(f62(x6271))
% 39.29/39.40 [628]~P54(x6281)+P34(f62(x6281))
% 39.29/39.40 [629]~P54(x6291)+P40(f62(x6291))
% 39.29/39.40 [630]~P54(x6301)+P41(f62(x6301))
% 39.29/39.40 [631]~P44(x6311)+P35(f62(x6311))
% 39.29/39.40 [632]~P54(x6321)+P37(f62(x6321))
% 39.29/39.40 [633]~P44(x6331)+P36(f62(x6331))
% 39.29/39.40 [634]~P11(x6341)+P5(f62(x6341))
% 39.29/39.40 [635]~P50(x6351)+P50(f62(x6351))
% 39.29/39.40 [636]~P56(x6361)+P56(f62(x6361))
% 39.29/39.40 [637]~P48(x6371)+P48(f62(x6371))
% 39.29/39.40 [638]~P4(x6381)+P32(f62(x6381))
% 39.29/39.40 [639]~P11(x6391)+P6(f62(x6391))
% 39.29/39.40 [640]~P42(x6401)+P59(f62(x6401))
% 39.29/39.40 [641]~P19(x6411)+P19(f62(x6411))
% 39.29/39.40 [643]~P76(x6431)+~E(f10(x6431),f4(x6431))
% 39.29/39.40 [695]E(x6951,f4(a59))+E(f8(a59,x6951,x6951),f10(a59))
% 39.29/39.40 [698]E(x6981,f4(a1))+P8(a1,f4(a1),x6981)
% 39.29/39.40 [739]~P43(x7391)+P8(a61,f4(a61),f40(x7391))
% 39.29/39.40 [755]~P53(x7551)+P7(x7551,f4(x7551),f10(x7551))
% 39.29/39.40 [756]~P53(x7561)+P8(x7561,f4(x7561),f10(x7561))
% 39.29/39.40 [811]E(x8111,f4(a1))+~P7(a1,x8111,f4(a1))
% 39.29/39.40 [859]~P53(x8591)+~P7(x8591,f10(x8591),f4(x8591))
% 39.29/39.40 [860]~P53(x8601)+~P8(x8601,f10(x8601),f4(x8601))
% 39.29/39.40 [926]~P8(a59,f4(a59),x9261)+P7(a59,f10(a59),x9261)
% 39.29/39.40 [927]~P7(a59,f10(a59),x9271)+P8(a59,f4(a59),x9271)
% 39.29/39.40 [644]~P45(x6441)+E(f19(x6441,f4(x6441)),f4(a61))
% 39.29/39.40 [645]~P46(x6451)+E(f19(x6451,f10(x6451)),f10(a61))
% 39.29/39.40 [648]~P57(x6481)+E(f13(x6481,f4(x6481)),f4(x6481))
% 39.29/39.40 [649]~P13(x6491)+E(f13(x6491,f4(x6491)),f4(x6491))
% 39.29/39.40 [650]~P58(x6501)+E(f13(x6501,f10(x6501)),f10(x6501))
% 39.29/39.40 [651]~P21(x6511)+E(f5(x6511,f4(x6511)),f4(x6511))
% 39.29/39.40 [765]~P1(x7651)+E(f20(x7651,f10(x7651),f9(x7651)),f23(x7651))
% 39.29/39.40 [953]~P8(a1,f4(a1),x9531)+E(f12(a1,f46(x9531),f10(a1)),x9531)
% 39.29/39.40 [1048]~P53(x10481)+P8(x10481,f4(x10481),f12(x10481,f10(x10481),f10(x10481)))
% 39.29/39.40 [1205]~P7(a59,f4(a59),x12051)+P8(a59,f4(a59),f12(a59,f10(a59),x12051))
% 39.29/39.40 [1207]~P8(a1,f4(a1),x12071)+E(f12(a1,f11(a1,x12071,f10(a1)),f10(a1)),x12071)
% 39.29/39.40 [1221]E(x12211,f4(a1))+~P8(a1,x12211,f12(a1,f4(a1),f10(a1)))
% 39.29/39.40 [1594]~P8(a1,f4(a1),x15941)+E(f12(a1,f11(a1,x15941,f12(a1,f4(a1),f10(a1))),f10(a1)),x15941)
% 39.29/39.40 [690]~P4(x6901)+E(f5(f62(x6901),f4(f62(x6901))),f4(f62(x6901)))
% 39.29/39.40 [818]~P42(x8181)+E(f15(x8181,f10(x8181),f4(f62(x8181))),f10(f62(x8181)))
% 39.29/39.40 [819]~P25(x8191)+E(f15(x8191,f4(x8191),f4(f62(x8191))),f4(f62(x8191)))
% 39.29/39.40 [833]E(x8331,f4(a61))+E(f36(f36(f9(a61),f13(a61,x8331)),x8331),f10(a61))
% 39.29/39.40 [936]E(x9361,f4(a61))+P8(a61,f4(a61),f36(f36(f9(a61),x9361),x9361))
% 39.29/39.40 [1149]~E(x11491,f4(a61))+~P8(a61,f4(a61),f36(f36(f9(a61),x11491),x11491))
% 39.29/39.40 [1589]~P8(a59,x15891,f4(a59))+P8(a59,f12(a59,f12(a59,f10(a59),x15891),x15891),f4(a59))
% 39.29/39.40 [1739]P8(a59,x17391,f4(a59))+~P8(a59,f12(a59,f12(a59,f10(a59),x17391),x17391),f4(a59))
% 39.29/39.40 [1868]~P8(a61,f19(a2,f36(f14(a2,a69),x18681)),f19(a2,f36(f14(a2,a69),f4(a2))))+P8(a61,f19(a2,f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),x18681)),f10(a61))
% 39.29/39.40 [1871]P8(a61,f19(a2,f36(f14(a2,a69),x18711)),f19(a2,f36(f14(a2,a69),f4(a2))))+~P8(a61,f19(a2,f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),x18711)),f10(a61))
% 39.29/39.40 [693]~E(x6931,x6932)+P7(a1,x6931,x6932)
% 39.29/39.40 [694]~E(x6941,x6942)+P7(a61,x6941,x6942)
% 39.29/39.40 [707]~P33(x7071)+P7(x7071,x7072,x7072)
% 39.29/39.40 [708]~P42(x7081)+P10(x7081,x7082,x7082)
% 39.29/39.40 [787]~E(x7871,x7872)+~P8(a1,x7871,x7872)
% 39.29/39.40 [788]~E(x7881,x7882)+~P8(a59,x7881,x7882)
% 39.29/39.40 [789]~E(x7891,x7892)+~P8(a61,x7891,x7892)
% 39.29/39.40 [814]~P8(x8141,x8142,x8142)+~P33(x8141)
% 39.29/39.40 [847]P7(a1,x8472,x8471)+P7(a1,x8471,x8472)
% 39.29/39.40 [848]P7(a59,x8482,x8481)+P7(a59,x8481,x8482)
% 39.29/39.40 [849]P7(a61,x8492,x8491)+P7(a61,x8491,x8492)
% 39.29/39.40 [903]~P8(a1,x9031,x9032)+P7(a1,x9031,x9032)
% 39.29/39.40 [904]~P8(a59,x9041,x9042)+P7(a59,x9041,x9042)
% 39.29/39.40 [906]~P8(a61,x9061,x9062)+P7(a61,x9061,x9062)
% 39.29/39.40 [659]~P22(x6592)+P22(f66(x6591,x6592))
% 39.29/39.40 [660]~P33(x6602)+P33(f66(x6601,x6602))
% 39.29/39.40 [661]~P40(x6612)+P40(f66(x6611,x6612))
% 39.29/39.40 [662]~P41(x6622)+P41(f66(x6621,x6622))
% 39.29/39.40 [663]~P38(x6632)+P38(f66(x6631,x6632))
% 39.29/39.40 [664]~P32(x6642)+P32(f66(x6641,x6642))
% 39.29/39.40 [696]E(f12(a1,x6961,x6962),x6962)+~E(x6961,f4(a1))
% 39.29/39.40 [706]~E(x7062,f4(a59))+E(f8(a59,x7061,x7062),f4(a59))
% 39.29/39.40 [717]~P21(x7171)+E(f11(x7171,x7172,x7172),f4(x7171))
% 39.29/39.40 [724]~P42(x7241)+P10(x7241,x7242,f4(x7241))
% 39.29/39.40 [725]~P42(x7251)+P10(x7251,f10(x7251),x7252)
% 39.29/39.40 [744]P7(a59,x7442,x7441)+E(f16(x7441,x7442),f4(a59))
% 39.29/39.40 [764]~E(x7642,f5(a61,x7641))+E(f12(a61,x7641,x7642),f4(a61))
% 39.29/39.40 [792]~E(f12(a1,x7922,x7921),x7922)+E(x7921,f4(a1))
% 39.29/39.40 [794]~P45(x7941)+P7(a61,f4(a61),f19(x7941,x7942))
% 39.29/39.40 [795]~P43(x7952)+P8(a61,f4(a61),f41(x7951,x7952))
% 39.29/39.40 [796]~P43(x7962)+P8(a61,f4(a61),f42(x7961,x7962))
% 39.29/39.40 [799]~P8(a1,x7992,x7991)+~E(x7991,f4(a1))
% 39.29/39.40 [806]E(x8061,f4(a1))+~E(f12(a1,x8062,x8061),f4(a1))
% 39.29/39.40 [807]E(x8071,f4(a1))+~E(f12(a1,x8071,x8072),f4(a1))
% 39.29/39.40 [837]E(x8371,f5(a61,x8372))+~E(f12(a61,x8372,x8371),f4(a61))
% 39.29/39.40 [898]~P45(x8981)+~P8(a61,f19(x8981,x8982),f4(a61))
% 39.29/39.40 [911]~P7(a1,x9111,x9112)+E(f11(a1,x9111,x9112),f4(a1))
% 39.29/39.40 [912]~P8(a1,x9121,x9122)+E(f8(a1,x9121,x9122),f4(a1))
% 39.29/39.40 [919]P7(a1,x9191,x9192)+~E(f11(a1,x9191,x9192),f4(a1))
% 39.29/39.40 [947]~P7(a59,x9472,x9471)+E(f11(a59,x9471,x9472),f16(x9471,x9472))
% 39.29/39.40 [1009]~P7(a59,x10091,x10092)+P7(a59,f3(a59,x10091),f3(a59,x10092))
% 39.29/39.40 [1010]~P8(a59,x10101,x10102)+P8(a59,f3(a59,x10101),f3(a59,x10102))
% 39.29/39.40 [1076]P7(a59,x10761,x10762)+~P7(a59,f3(a59,x10761),f3(a59,x10762))
% 39.29/39.40 [1077]P8(a59,x10771,x10772)+~P8(a59,f3(a59,x10771),f3(a59,x10772))
% 39.29/39.40 [1174]~P8(a1,x11742,x11741)+P8(a1,f4(a1),f11(a1,x11741,x11742))
% 39.29/39.40 [1175]~P7(a61,x11751,x11752)+P7(a61,f11(a61,x11751,x11752),f4(a61))
% 39.29/39.40 [1176]~P8(a59,x11761,x11762)+P8(a59,f11(a59,x11761,x11762),f4(a59))
% 39.29/39.40 [1240]~P7(a61,f5(a61,x12401),x12402)+P7(a61,f4(a61),f12(a61,x12401,x12402))
% 39.29/39.40 [1241]~P8(a61,f5(a61,x12411),x12412)+P8(a61,f4(a61),f12(a61,x12411,x12412))
% 39.29/39.40 [1242]~P7(a61,x12422,f5(a61,x12421))+P7(a61,f12(a61,x12421,x12422),f4(a61))
% 39.29/39.40 [1243]~P8(a61,x12432,f5(a61,x12431))+P8(a61,f12(a61,x12431,x12432),f4(a61))
% 39.29/39.40 [1280]P8(a1,x12801,x12802)+~P8(a1,f4(a1),f11(a1,x12802,x12801))
% 39.29/39.40 [1281]P7(a61,x12811,x12812)+~P7(a61,f11(a61,x12811,x12812),f4(a61))
% 39.29/39.40 [1282]P8(a59,x12821,x12822)+~P8(a59,f11(a59,x12821,x12822),f4(a59))
% 39.29/39.40 [1327]P7(a61,x13271,f5(a61,x13272))+~P7(a61,f12(a61,x13272,x13271),f4(a61))
% 39.29/39.40 [1328]P8(a61,x13281,f5(a61,x13282))+~P8(a61,f12(a61,x13282,x13281),f4(a61))
% 39.29/39.40 [1329]P7(a61,f5(a61,x13291),x13292)+~P7(a61,f4(a61),f12(a61,x13291,x13292))
% 39.29/39.40 [1330]P8(a61,f5(a61,x13301),x13302)+~P8(a61,f4(a61),f12(a61,x13301,x13302))
% 39.29/39.40 [678]~P57(x6781)+E(f13(x6781,f13(x6781,x6782)),x6782)
% 39.29/39.40 [679]~P21(x6791)+E(f5(x6791,f5(x6791,x6792)),x6792)
% 39.29/39.40 [680]~P38(x6801)+E(f5(x6801,f5(x6801,x6802)),x6802)
% 39.29/39.40 [705]~P45(x7051)+E(f19(x7051,f5(x7051,x7052)),f19(x7051,x7052))
% 39.29/39.40 [710]~P42(x7101)+E(f36(f36(f23(x7101),x7102),f10(a1)),x7102)
% 39.29/39.40 [711]~P2(x7111)+E(f36(f36(f23(x7111),x7112),f10(a1)),x7112)
% 39.29/39.40 [718]~P42(x7181)+E(f36(f36(f9(x7181),x7182),f10(x7181)),x7182)
% 39.29/39.40 [719]~P2(x7191)+E(f36(f36(f9(x7191),x7192),f10(x7191)),x7192)
% 39.29/39.40 [720]~P3(x7201)+E(f36(f36(f9(x7201),x7202),f10(x7201)),x7202)
% 39.29/39.40 [721]~P1(x7211)+E(f36(f36(f23(x7211),x7212),f4(a1)),f10(x7211))
% 39.29/39.40 [722]~P42(x7221)+E(f36(f36(f23(x7221),x7222),f4(a1)),f10(x7221))
% 39.29/39.40 [726]~P21(x7261)+E(f11(x7261,x7262,f4(x7261)),x7262)
% 39.29/39.40 [727]~P42(x7271)+E(f12(x7271,x7272,f4(x7271)),x7272)
% 39.29/39.40 [728]~P20(x7281)+E(f12(x7281,x7282,f4(x7281)),x7282)
% 39.29/39.40 [729]~P24(x7291)+E(f12(x7291,x7292,f4(x7291)),x7292)
% 39.29/39.40 [730]~P5(x7301)+E(f8(x7301,x7302,f10(x7301)),x7302)
% 39.29/39.40 [731]~P42(x7311)+E(f12(x7311,f4(x7311),x7312),x7312)
% 39.29/39.40 [732]~P20(x7321)+E(f12(x7321,f4(x7321),x7322),x7322)
% 39.29/39.40 [733]~P24(x7331)+E(f12(x7331,f4(x7331),x7332),x7332)
% 39.29/39.40 [734]~P42(x7341)+E(f21(x7341,f10(x7341),x7342),x7342)
% 39.29/39.40 [740]~P42(x7401)+E(f36(f36(f9(x7401),x7402),f4(x7401)),f4(x7401))
% 39.29/39.40 [741]~P52(x7411)+E(f36(f36(f9(x7411),x7412),f4(x7411)),f4(x7411))
% 39.29/39.40 [743]~P43(x7431)+E(f36(f36(f9(x7431),x7432),f4(x7431)),f4(x7431))
% 39.29/39.40 [747]~P5(x7471)+E(f8(x7471,x7472,f4(x7471)),f4(x7471))
% 39.29/39.40 [748]~P5(x7481)+E(f8(x7481,f4(x7481),x7482),f4(x7481))
% 39.29/39.40 [766]~P50(x7661)+E(f21(x7661,f4(x7661),x7662),f4(f62(x7661)))
% 39.29/39.40 [772]~P21(x7721)+E(f11(x7721,f4(x7721),x7722),f5(x7721,x7722))
% 39.29/39.40 [774]~E(x7741,x7742)+E(f12(a61,x7741,f5(a61,x7742)),f4(a61))
% 39.29/39.40 [776]~P35(x7761)+E(f5(x7761,f3(x7761,x7762)),f3(x7761,f5(a59,x7762)))
% 39.29/39.40 [782]~P57(x7821)+E(f13(x7821,f5(x7821,x7822)),f5(x7821,f13(x7821,x7822)))
% 39.29/39.40 [808]~P21(x8081)+E(f12(x8081,x8082,f5(x8081,x8082)),f4(x8081))
% 39.29/39.40 [809]~P21(x8091)+E(f12(x8091,f5(x8091,x8092),x8092),f4(x8091))
% 39.29/39.40 [810]~P4(x8101)+E(f12(x8101,f5(x8101,x8102),x8102),f4(x8101))
% 39.29/39.40 [890]E(x8901,x8902)+~E(f12(a61,x8901,f5(a61,x8902)),f4(a61))
% 39.29/39.40 [892]E(x8921,x8922)+~E(f36(x8921,f34(x8922,x8921)),f36(x8922,f34(x8922,x8921)))
% 39.29/39.40 [929]P8(a1,f4(a1),x9291)+~E(x9291,f12(a1,x9292,f10(a1)))
% 39.29/39.40 [958]~P7(a1,x9581,x9582)+E(f12(a1,x9581,f47(x9582,x9581)),x9582)
% 39.29/39.40 [959]~P7(a1,x9591,x9592)+E(f12(a1,x9591,f57(x9592,x9591)),x9592)
% 39.29/39.40 [962]~E(x9621,x9622)+P8(a1,x9621,f12(a1,x9622,f10(a1)))
% 39.29/39.40 [963]~E(x9631,x9632)+P8(a59,x9631,f12(a59,x9632,f10(a59)))
% 39.29/39.40 [966]~E(x9661,f4(a1))+P8(a1,x9661,f12(a1,x9662,f10(a1)))
% 39.29/39.40 [1003]~P53(x10031)+P8(x10031,x10032,f12(x10031,x10032,f10(x10031)))
% 39.29/39.40 [1080]P8(a1,x10802,x10801)+E(f12(a1,x10801,f11(a1,x10802,x10801)),x10802)
% 39.29/39.40 [1098]P8(a1,x10981,x10982)+P8(a1,x10982,f12(a1,x10981,f10(a1)))
% 39.29/39.40 [1099]P7(a1,x10991,x10992)+P7(a1,f12(a1,x10992,f10(a1)),x10991)
% 39.29/39.40 [1171]~P7(a1,x11712,x11711)+E(f11(a1,x11711,f11(a1,x11711,x11712)),x11712)
% 39.29/39.40 [1172]~P7(a1,x11721,x11722)+E(f12(a1,x11721,f11(a1,x11722,x11721)),x11722)
% 39.29/39.40 [1173]~P7(a1,x11732,x11731)+E(f12(a1,f11(a1,x11731,x11732),x11732),x11731)
% 39.29/39.40 [1181]~P8(a59,x11811,x11812)+P7(a59,x11811,f11(a59,x11812,f10(a59)))
% 39.29/39.40 [1183]~P7(a1,x11831,x11832)+P8(a1,x11831,f12(a1,x11832,f10(a1)))
% 39.29/39.40 [1186]~P7(a59,x11861,x11862)+P8(a59,x11861,f12(a59,x11862,f10(a59)))
% 39.29/39.40 [1187]~P8(a59,x11871,x11872)+P8(a59,x11871,f12(a59,x11872,f10(a59)))
% 39.29/39.40 [1190]~P8(a1,x11901,x11902)+P7(a1,f12(a1,x11901,f10(a1)),x11902)
% 39.29/39.40 [1192]~P8(a59,x11921,x11922)+P7(a59,f12(a59,x11921,f10(a59)),x11922)
% 39.29/39.40 [1268]~P8(a1,x12681,x12682)+E(f12(a1,f12(a1,x12681,f53(x12682,x12681)),f10(a1)),x12682)
% 39.29/39.40 [1286]P7(a1,x12861,x12862)+~P8(a1,x12861,f12(a1,x12862,f10(a1)))
% 39.29/39.40 [1287]P7(a59,x12871,x12872)+~P8(a59,x12871,f12(a59,x12872,f10(a59)))
% 39.29/39.40 [1288]P8(a59,x12881,x12882)+~P7(a59,x12881,f11(a59,x12882,f10(a59)))
% 39.29/39.40 [1292]P8(a1,x12921,x12922)+~P7(a1,f12(a1,x12921,f10(a1)),x12922)
% 39.29/39.40 [1294]P8(a59,x12941,x12942)+~P7(a59,f12(a59,x12941,f10(a59)),x12942)
% 39.29/39.41 [1365]~P8(a1,x13651,x13652)+~P8(a1,x13652,f12(a1,x13651,f10(a1)))
% 39.29/39.41 [1366]~P7(a1,x13661,x13662)+~P7(a1,f12(a1,x13662,f10(a1)),x13661)
% 39.29/39.41 [1532]E(x15321,f4(a1))+E(f12(a1,f12(a1,f11(a1,x15321,f10(a1)),x15322),f10(a1)),f12(a1,x15321,x15322))
% 39.29/39.41 [1595]P7(a1,x15951,x15952)+~P7(a1,f12(a1,x15951,f10(a1)),f12(a1,x15952,f10(a1)))
% 39.29/39.41 [1597]P8(a1,x15971,x15972)+~P8(a1,f12(a1,x15971,f10(a1)),f12(a1,x15972,f10(a1)))
% 39.29/39.41 [686]~E(x6862,f4(a1))+E(f36(f36(f23(a1),x6861),x6862),f10(a1))
% 39.29/39.41 [687]~E(x6872,f4(a1))+E(f36(f36(f9(a1),x6871),x6872),f4(a1))
% 39.29/39.41 [689]~E(x6891,f4(a1))+E(f36(f36(f9(a1),x6891),x6892),f4(a1))
% 39.29/39.41 [700]~P39(x7001)+E(f36(f36(f9(x7001),x7002),x7002),x7002)
% 39.29/39.41 [752]~P42(x7521)+E(f36(f36(f9(x7521),f10(x7521)),x7522),x7522)
% 39.29/39.41 [753]~P2(x7531)+E(f36(f36(f9(x7531),f10(x7531)),x7532),x7532)
% 39.29/39.41 [754]~P3(x7541)+E(f36(f36(f9(x7541),f10(x7541)),x7542),x7542)
% 39.29/39.41 [759]~P2(x7591)+E(f36(f36(f23(x7591),f10(x7591)),x7592),f10(x7591))
% 39.29/39.41 [760]~P42(x7601)+E(f36(f36(f9(x7601),f4(x7601)),x7602),f4(x7601))
% 39.29/39.41 [761]~P52(x7611)+E(f36(f36(f9(x7611),f4(x7611)),x7612),f4(x7611))
% 39.29/39.41 [763]~P43(x7631)+E(f36(f36(f9(x7631),f4(x7631)),x7632),f4(x7631))
% 39.29/39.41 [770]E(x7701,f10(a1))+~E(f36(f36(f9(a1),x7702),x7701),f10(a1))
% 39.29/39.41 [771]E(x7711,f10(a1))+~E(f36(f36(f9(a1),x7711),x7712),f10(a1))
% 39.29/39.41 [779]~P4(x7791)+E(f11(f62(x7791),x7792,f4(f62(x7791))),x7792)
% 39.29/39.41 [780]~P20(x7801)+E(f12(f62(x7801),x7802,f4(f62(x7801))),x7802)
% 39.29/39.41 [781]~P20(x7811)+E(f12(f62(x7811),f4(f62(x7811)),x7812),x7812)
% 39.29/39.41 [802]~P50(x8021)+E(f21(x8021,x8022,f4(f62(x8021))),f4(f62(x8021)))
% 39.29/39.41 [803]~P50(x8031)+E(f18(x8031,f4(f62(x8031)),x8032),f4(f62(x8031)))
% 39.29/39.41 [804]~P50(x8041)+E(f22(x8041,f4(f62(x8041)),x8042),f4(f62(x8041)))
% 39.29/39.41 [843]~P4(x8431)+E(f11(f62(x8431),f4(f62(x8431)),x8432),f5(f62(x8431),x8432))
% 39.29/39.41 [856]~E(x8562,f4(a1))+E(f36(f36(f23(a1),x8561),x8562),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [858]~P50(x8581)+E(f36(f36(f9(f62(x8581)),x8582),f4(f62(x8581))),f4(f62(x8581)))
% 39.29/39.41 [955]~E(x9552,f4(a1))+P8(a1,f4(a1),f36(f36(f23(a1),x9551),x9552))
% 39.29/39.41 [974]~P61(x9741)+P7(x9741,f4(x9741),f36(f36(f9(x9741),x9742),x9742))
% 39.29/39.41 [1049]~E(x10491,f12(a1,f4(a1),f10(a1)))+E(f36(f36(f23(a1),x10491),x10492),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1109]E(x11091,f12(a1,f4(a1),f10(a1)))+~E(f36(f36(f9(a1),x11092),x11091),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1110]E(x11101,f12(a1,f4(a1),f10(a1)))+~E(f36(f36(f9(a1),x11101),x11102),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1143]~P7(a59,f4(a59),x11431)+P7(a59,f4(a59),f36(f36(f23(a59),x11431),x11432))
% 39.29/39.41 [1145]~P8(a1,f4(a1),x11451)+P8(a1,f4(a1),f36(f36(f23(a1),x11451),x11452))
% 39.29/39.41 [1213]~P61(x12131)+~P8(x12131,f36(f36(f9(x12131),x12132),x12132),f4(x12131))
% 39.29/39.41 [1250]P8(a1,f4(a1),x12501)+~P8(a1,f4(a1),f36(f36(f9(a1),x12502),x12501))
% 39.29/39.41 [1251]P8(a1,f4(a1),x12511)+~P8(a1,f4(a1),f36(f36(f9(a1),x12511),x12512))
% 39.29/39.41 [1586]~P8(a1,f4(a1),x15861)+P8(a1,f11(a1,x15861,f12(a1,x15862,f10(a1))),x15861)
% 39.29/39.41 [1644]~P7(a1,f12(a1,f4(a1),f10(a1)),x16441)+P7(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f23(a1),x16441),x16442))
% 39.29/39.41 [1699]P7(a1,f12(a1,f4(a1),f10(a1)),x16991)+~P7(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),x16992),x16991))
% 39.29/39.41 [1700]P7(a1,f12(a1,f4(a1),f10(a1)),x17001)+~P7(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),x17001),x17002))
% 39.29/39.41 [1701]~P68(x17011)+E(f36(f36(f9(x17011),f12(x17011,x17012,f10(x17011))),f11(x17011,x17012,f10(x17011))),f11(x17011,f36(f36(f9(x17011),x17012),x17012),f10(x17011)))
% 39.29/39.41 [790]~P50(x7901)+E(f36(f14(x7901,f4(f62(x7901))),x7902),f4(x7901))
% 39.29/39.41 [791]~P42(x7911)+E(f36(f14(x7911,f10(f62(x7911))),x7912),f10(x7911))
% 39.29/39.41 [895]~P50(x8951)+E(f36(f36(f9(f62(x8951)),f4(f62(x8951))),x8952),f4(f62(x8951)))
% 39.29/39.41 [935]~P44(x9351)+E(f36(f36(f9(x9351),f5(x9351,f10(x9351))),x9352),f5(x9351,x9352))
% 39.29/39.41 [1129]~P8(a1,f4(a1),x11292)+E(f8(a1,f36(f36(f9(a1),x11291),x11292),x11292),x11291)
% 39.29/39.41 [1130]~P8(a1,f4(a1),x11301)+E(f8(a1,f36(f36(f9(a1),x11301),x11302),x11301),x11302)
% 39.29/39.41 [1438]E(x14381,f4(a61))+~E(f12(a61,f36(f36(f9(a61),x14382),x14382),f36(f36(f9(a61),x14381),x14381)),f4(a61))
% 39.29/39.41 [1439]E(x14391,f4(a61))+~E(f12(a61,f36(f36(f9(a61),x14391),x14391),f36(f36(f9(a61),x14392),x14392)),f4(a61))
% 39.29/39.41 [1442]~P42(x14421)+E(f12(x14421,x14422,x14422),f36(f36(f9(x14421),f12(x14421,f10(x14421),f10(x14421))),x14422))
% 39.29/39.41 [1480]E(x14801,f4(a1))+E(f36(f36(f9(a1),x14802),f36(f36(f23(a1),x14802),f11(a1,x14801,f10(a1)))),f36(f36(f23(a1),x14802),x14801))
% 39.29/39.41 [1734]E(x17341,f4(a1))+E(f12(a1,x17342,f36(f36(f9(a1),f11(a1,x17341,f10(a1))),x17342)),f36(f36(f9(a1),x17341),x17342))
% 39.29/39.41 [866]~P42(x8661)+E(f12(x8661,x8662,x8663),f12(x8661,x8663,x8662))
% 39.29/39.41 [908]P7(a1,x9081,x9082)+~E(x9082,f12(a1,x9081,x9083))
% 39.29/39.41 [964]E(x9641,x9642)+~E(f12(a1,x9643,x9641),f12(a1,x9643,x9642))
% 39.29/39.41 [965]E(x9651,x9652)+~E(f12(a1,x9651,x9653),f12(a1,x9652,x9653))
% 39.29/39.41 [1157]~P7(a1,x11571,x11573)+P7(a1,x11571,f12(a1,x11572,x11573))
% 39.29/39.41 [1159]~P7(a1,x11591,x11592)+P7(a1,x11591,f12(a1,x11592,x11593))
% 39.29/39.41 [1161]~P8(a1,x11611,x11613)+P8(a1,x11611,f12(a1,x11612,x11613))
% 39.29/39.41 [1163]~P8(a1,x11631,x11632)+P8(a1,x11631,f12(a1,x11632,x11633))
% 39.29/39.41 [1164]~P8(a1,x11641,x11643)+P8(a1,f11(a1,x11641,x11642),x11643)
% 39.29/39.41 [1273]P7(a1,x12731,x12732)+~P7(a1,f12(a1,x12733,x12731),x12732)
% 39.29/39.41 [1274]P7(a1,x12741,x12742)+~P7(a1,f12(a1,x12741,x12743),x12742)
% 39.29/39.41 [1275]P8(a1,x12751,x12752)+~P8(a1,f12(a1,x12751,x12753),x12752)
% 39.29/39.41 [1372]~P7(a1,x13723,x13722)+P7(a1,f11(a1,x13721,x13722),f11(a1,x13721,x13723))
% 39.29/39.41 [1373]~P7(a1,x13731,x13733)+P7(a1,f11(a1,x13731,x13732),f11(a1,x13733,x13732))
% 39.29/39.41 [1374]~P7(a1,x13742,x13743)+P7(a1,f12(a1,x13741,x13742),f12(a1,x13741,x13743))
% 39.29/39.41 [1375]~P7(a1,x13751,x13753)+P7(a1,f12(a1,x13751,x13752),f12(a1,x13753,x13752))
% 39.29/39.41 [1376]~P7(a1,x13761,x13763)+P7(a1,f8(a1,x13761,x13762),f8(a1,x13763,x13762))
% 39.29/39.41 [1377]~P7(a59,x13772,x13773)+P7(a59,f12(a59,x13771,x13772),f12(a59,x13771,x13773))
% 39.29/39.41 [1378]~P7(a61,x13782,x13783)+P7(a61,f12(a61,x13781,x13782),f12(a61,x13781,x13783))
% 39.29/39.41 [1379]~P8(a1,x13792,x13793)+P8(a1,f12(a1,x13791,x13792),f12(a1,x13791,x13793))
% 39.29/39.41 [1380]~P8(a1,x13801,x13803)+P8(a1,f12(a1,x13801,x13802),f12(a1,x13803,x13802))
% 39.29/39.41 [1381]~P8(a59,x13811,x13813)+P8(a59,f12(a59,x13811,x13812),f12(a59,x13813,x13812))
% 39.29/39.41 [1476]~P7(a1,f11(a1,x14761,x14763),x14762)+P7(a1,x14761,f12(a1,x14762,x14763))
% 39.29/39.41 [1477]~P8(a1,f12(a1,x14771,x14773),x14772)+P8(a1,x14771,f11(a1,x14772,x14773))
% 39.29/39.41 [1478]~P7(a1,x14781,f12(a1,x14783,x14782))+P7(a1,f11(a1,x14781,x14782),x14783)
% 39.29/39.41 [1479]~P8(a1,x14791,f11(a1,x14793,x14792))+P8(a1,f12(a1,x14791,x14792),x14793)
% 39.29/39.41 [1583]P7(a1,x15831,x15832)+~P7(a1,f12(a1,x15833,x15831),f12(a1,x15833,x15832))
% 39.29/39.41 [1584]P8(a1,x15841,x15842)+~P8(a1,f12(a1,x15843,x15841),f12(a1,x15843,x15842))
% 39.29/39.41 [874]P9(x8741,x8742,x8743)+~E(f36(x8743,f25(x8743)),f36(x8743,f27(x8743)))
% 39.29/39.41 [921]~P21(x9211)+E(f12(x9211,x9212,f5(x9211,x9213)),f11(x9211,x9212,x9213))
% 39.29/39.41 [922]~P4(x9221)+E(f12(x9221,x9222,f5(x9221,x9223)),f11(x9221,x9222,x9223))
% 39.29/39.41 [923]~P44(x9231)+E(f12(x9231,x9232,f5(x9231,x9233)),f11(x9231,x9232,x9233))
% 39.29/39.41 [924]~P21(x9241)+E(f11(x9241,x9242,f5(x9241,x9243)),f12(x9241,x9242,x9243))
% 39.29/39.41 [969]~P21(x9691)+E(f11(x9691,f12(x9691,x9692,x9693),x9693),x9692)
% 39.29/39.41 [970]~P21(x9701)+E(f12(x9701,f11(x9701,x9702,x9703),x9703),x9702)
% 39.29/39.41 [1008]~P4(x10081)+E(f5(x10081,f11(x10081,x10082,x10083)),f11(x10081,x10083,x10082))
% 39.29/39.41 [1046]~P21(x10461)+E(f12(x10461,f5(x10461,x10462),f12(x10461,x10462,x10463)),x10463)
% 39.29/39.41 [1086]~P48(x10861)+E(f5(f62(x10861),f21(x10861,x10862,x10863)),f21(x10861,f5(x10861,x10862),x10863))
% 39.29/39.41 [1126]~P35(x11261)+E(f11(x11261,f3(x11261,x11262),f3(x11261,x11263)),f3(x11261,f11(a59,x11262,x11263)))
% 39.29/39.41 [1128]~P35(x11281)+E(f12(x11281,f3(x11281,x11282),f3(x11281,x11283)),f3(x11281,f12(a59,x11282,x11283)))
% 39.29/39.41 [1132]~P21(x11321)+E(f12(x11321,f5(x11321,x11322),f5(x11321,x11323)),f5(x11321,f12(x11321,x11323,x11322)))
% 39.29/39.41 [1133]~P4(x11331)+E(f12(x11331,f5(x11331,x11332),f5(x11331,x11333)),f5(x11331,f12(x11331,x11332,x11333)))
% 39.29/39.41 [1197]~P45(x11971)+E(f19(x11971,f11(x11971,x11972,x11973)),f19(x11971,f11(x11971,x11973,x11972)))
% 39.29/39.41 [1283]P8(a1,x12831,x12832)+~E(x12832,f12(a1,f12(a1,x12831,x12833),f10(a1)))
% 39.29/39.41 [1316]~P79(x13161,x13163,x13162)+P78(f36(x13161,f8(a59,x13162,x13163)))
% 39.29/39.41 [1468]~P7(a1,x14682,x14683)+E(f11(a1,f12(a1,x14681,x14682),x14683),f11(a1,x14681,f11(a1,x14683,x14682)))
% 39.29/39.41 [1470]~P7(a1,x14703,x14702)+E(f12(a1,x14701,f11(a1,x14702,x14703)),f11(a1,f12(a1,x14701,x14702),x14703))
% 39.29/39.41 [1472]~P7(a1,x14722,x14721)+E(f12(a1,f11(a1,x14721,x14722),x14723),f11(a1,f12(a1,x14721,x14723),x14722))
% 39.29/39.41 [1524]P79(x15241,x15242,x15243)+~P78(f36(x15241,f8(a59,x15243,x15242)))
% 39.29/39.41 [1548]~P7(a1,x15483,x15482)+P7(a1,x15481,f11(a1,f12(a1,x15482,x15481),x15483))
% 39.29/39.41 [1620]~P45(x16201)+P7(a61,f19(x16201,f11(x16201,x16202,x16203)),f12(a61,f19(x16201,x16202),f19(x16201,x16203)))
% 39.29/39.41 [1621]~P45(x16211)+P7(a61,f19(x16211,f12(x16211,x16212,x16213)),f12(a61,f19(x16211,x16212),f19(x16211,x16213)))
% 39.29/39.41 [1622]~P45(x16221)+P7(a61,f11(a61,f19(x16221,x16222),f19(x16221,x16223)),f19(x16221,f11(x16221,x16222,x16223)))
% 39.29/39.41 [1623]~P45(x16231)+P7(a61,f11(a61,f19(x16231,x16232),f19(x16231,x16233)),f19(x16231,f12(x16231,x16232,x16233)))
% 39.29/39.41 [830]~E(x8302,f4(a1))+E(f36(f36(f9(a1),x8301),x8302),f36(f36(f9(a1),x8303),x8302))
% 39.29/39.41 [832]~E(x8321,f4(a1))+E(f36(f36(f9(a1),x8321),x8322),f36(f36(f9(a1),x8321),x8323))
% 39.29/39.41 [857]~P42(x8571)+E(f36(f36(f9(x8571),x8572),x8573),f36(f36(f9(x8571),x8573),x8572))
% 39.29/39.41 [960]~P42(x9601)+P10(x9601,x9602,f36(f36(f9(x9601),x9603),x9602))
% 39.29/39.41 [961]~P42(x9611)+P10(x9611,x9612,f36(f36(f9(x9611),x9612),x9613))
% 39.29/39.41 [1023]~P72(x10231)+E(f36(f36(f9(x10231),f5(x10231,x10232)),x10233),f36(f36(f9(x10231),x10232),f5(x10231,x10233)))
% 39.29/39.41 [1024]~P72(x10241)+E(f36(f36(f9(x10241),f5(x10241,x10242)),f5(x10241,x10243)),f36(f36(f9(x10241),x10242),x10243))
% 39.29/39.41 [1104]~P21(x11041)+E(f12(x11041,x11042,f12(x11041,f5(x11041,x11042),x11043)),x11043)
% 39.29/39.41 [1111]~P48(x11111)+E(f21(x11111,x11112,f5(f62(x11111),x11113)),f5(f62(x11111),f21(x11111,x11112,x11113)))
% 39.29/39.41 [1177]~P11(x11771)+E(f8(f62(x11771),x11772,f5(f62(x11771),x11773)),f5(f62(x11771),f8(f62(x11771),x11772,x11773)))
% 39.29/39.41 [1178]~P11(x11781)+E(f8(f62(x11781),f5(f62(x11781),x11782),x11783),f5(f62(x11781),f8(f62(x11781),x11782,x11783)))
% 39.29/39.41 [1202]~P4(x12021)+E(f15(x12021,f5(x12021,x12022),f5(f62(x12021),x12023)),f5(f62(x12021),f15(x12021,x12022,x12023)))
% 39.29/39.41 [1236]~P35(x12361)+E(f11(x12361,f3(x12361,x12362),f3(x12361,x12363)),f3(x12361,f12(a59,x12362,f5(a59,x12363))))
% 39.29/39.41 [1254]P8(a1,f4(a1),x12541)+P7(a1,f36(f36(f9(a1),x12542),x12541),f36(f36(f9(a1),x12543),x12541))
% 39.29/39.41 [1255]P8(a1,f4(a1),x12551)+P7(a1,f36(f36(f9(a1),x12551),x12552),f36(f36(f9(a1),x12551),x12553))
% 39.29/39.41 [1303]~P7(a1,x13032,x13033)+P7(a1,f36(f36(f9(a1),x13031),x13032),f36(f36(f9(a1),x13031),x13033))
% 39.29/39.41 [1305]~P7(a1,x13051,x13053)+P7(a1,f36(f36(f9(a1),x13051),x13052),f36(f36(f9(a1),x13053),x13052))
% 39.29/39.41 [1503]P8(a1,x15031,x15032)+~P8(a1,f36(f36(f9(a1),x15033),x15031),f36(f36(f9(a1),x15033),x15032))
% 39.29/39.41 [1504]P8(a1,x15041,x15042)+~P8(a1,f36(f36(f9(a1),x15041),x15043),f36(f36(f9(a1),x15042),x15043))
% 39.29/39.41 [1508]P8(a1,f4(a1),x15081)+~P8(a1,f36(f36(f9(a1),x15082),x15081),f36(f36(f9(a1),x15083),x15081))
% 39.29/39.41 [1509]P8(a1,f4(a1),x15091)+~P8(a1,f36(f36(f9(a1),x15091),x15092),f36(f36(f9(a1),x15091),x15093))
% 39.29/39.41 [1723]~P50(x17231)+E(f15(x17231,f36(f14(x17231,x17232),x17233),f22(x17231,x17232,x17233)),f12(f62(x17231),x17232,f21(x17231,x17233,f22(x17231,x17232,x17233))))
% 39.29/39.41 [1767]~P7(a1,x17672,x17673)+E(f11(a1,f12(a1,x17671,x17672),f12(a1,x17673,f10(a1))),f11(a1,x17671,f12(a1,f11(a1,x17673,x17672),f10(a1))))
% 39.29/39.41 [1768]~P7(a1,x17682,x17681)+E(f11(a1,f12(a1,f11(a1,x17681,x17682),f10(a1)),x17683),f11(a1,f12(a1,x17681,f10(a1)),f12(a1,x17682,x17683)))
% 39.29/39.41 [1057]~P72(x10571)+E(f36(f36(f9(x10571),x10572),f5(x10571,x10573)),f5(x10571,f36(f36(f9(x10571),x10572),x10573)))
% 39.29/39.41 [1059]~P43(x10591)+E(f36(f36(f9(x10591),x10592),f5(x10591,x10593)),f5(x10591,f36(f36(f9(x10591),x10592),x10593)))
% 39.29/39.41 [1085]~P39(x10851)+E(f36(f36(f9(x10851),x10852),f36(f36(f9(x10851),x10852),x10853)),f36(f36(f9(x10851),x10852),x10853))
% 39.29/39.41 [1096]~P48(x10961)+E(f36(f14(x10961,f5(f62(x10961),x10962)),x10963),f5(x10961,f36(f14(x10961,x10962),x10963)))
% 39.29/39.41 [1105]~P47(x11051)+E(f19(x11051,f36(f36(f23(x11051),x11052),x11053)),f36(f36(f23(a61),f19(x11051,x11052)),x11053))
% 39.29/39.41 [1112]~P57(x11121)+E(f36(f36(f23(x11121),f13(x11121,x11122)),x11123),f13(x11121,f36(f36(f23(x11121),x11122),x11123)))
% 39.29/39.41 [1113]~P72(x11131)+E(f36(f36(f9(x11131),f5(x11131,x11132)),x11133),f5(x11131,f36(f36(f9(x11131),x11132),x11133)))
% 39.29/39.41 [1115]~P43(x11151)+E(f36(f36(f9(x11151),f5(x11151,x11152)),x11153),f5(x11151,f36(f36(f9(x11151),x11152),x11153)))
% 39.29/39.41 [1169]~P35(x11691)+E(f36(f36(f9(x11691),f3(x11691,x11692)),f3(x11691,x11693)),f3(x11691,f36(f36(f9(a59),x11692),x11693)))
% 39.29/39.41 [1170]~E(x11701,f4(a1))+E(f8(a1,f36(f36(f9(a1),x11701),x11702),f36(f36(f9(a1),x11701),x11703)),f4(a1))
% 39.29/39.41 [1193]~P47(x11931)+E(f36(f36(f9(a61),f19(x11931,x11932)),f19(x11931,x11933)),f19(x11931,f36(f36(f9(x11931),x11932),x11933)))
% 39.29/39.41 [1204]~P13(x12041)+E(f36(f36(f9(x12041),f13(x12041,x12042)),f13(x12041,x12043)),f13(x12041,f36(f36(f9(x12041),x12042),x12043)))
% 39.29/39.41 [1253]E(x12531,f4(a1))+E(f8(a1,f36(f36(f9(a1),x12531),x12532),f36(f36(f9(a1),x12531),x12533)),f8(a1,x12532,x12533))
% 39.29/39.41 [1311]~P1(x13111)+E(f36(f36(f9(x13111),x13112),f36(f36(f23(x13111),x13112),x13113)),f36(f36(f23(x13111),x13112),f12(a1,x13113,f10(a1))))
% 39.29/39.41 [1312]~P42(x13121)+E(f36(f36(f9(x13121),x13122),f36(f36(f23(x13121),x13122),x13123)),f36(f36(f23(x13121),x13122),f12(a1,x13123,f10(a1))))
% 39.29/39.41 [1441]~P8(a1,f4(a1),x14411)+E(f8(a1,f36(f36(f9(a1),x14411),x14412),f36(f36(f9(a1),x14411),x14413)),f8(a1,x14412,x14413))
% 39.29/39.41 [1457]~P8(a59,f4(a59),x14573)+E(f8(a59,x14571,f36(f36(f9(a59),x14572),x14573)),f8(a59,f8(a59,x14571,x14572),x14573))
% 39.29/39.41 [1496]~P35(x14961)+E(f36(f36(f9(x14961),f5(x14961,f3(x14961,x14962))),x14963),f36(f36(f9(x14961),f3(x14961,f5(a59,x14962))),x14963))
% 39.29/39.41 [1573]~P42(x15731)+E(f12(x15731,x15732,f36(f36(f9(x15731),x15733),x15732)),f36(f36(f9(x15731),f12(x15731,x15733,f10(x15731))),x15732))
% 39.29/39.41 [1574]~P42(x15741)+E(f12(x15741,f36(f36(f9(x15741),x15742),x15743),x15743),f36(f36(f9(x15741),f12(x15741,x15742,f10(x15741))),x15743))
% 39.29/39.41 [1606]~P46(x16061)+P7(a61,f19(x16061,f36(f36(f23(x16061),x16062),x16063)),f36(f36(f23(a61),f19(x16061,x16062)),x16063))
% 39.29/39.41 [1660]~P43(x16601)+P7(a61,f19(x16601,f36(f36(f9(x16601),x16602),x16603)),f36(f36(f9(a61),f19(x16601,x16603)),f41(x16602,x16601)))
% 39.29/39.41 [1661]~P43(x16611)+P7(a61,f19(x16611,f36(f36(f9(x16611),x16612),x16613)),f36(f36(f9(a61),f19(x16611,x16612)),f19(x16611,x16613)))
% 39.29/39.41 [1662]~P43(x16621)+P7(a61,f19(x16621,f36(f36(f9(x16621),x16622),x16623)),f36(f36(f9(a61),f19(x16621,x16622)),f42(x16623,x16621)))
% 39.29/39.41 [1705]~P61(x17051)+P7(x17051,f4(x17051),f12(x17051,f36(f36(f9(x17051),x17052),x17052),f36(f36(f9(x17051),x17053),x17053)))
% 39.29/39.41 [1781]~P68(x17811)+E(f36(f36(f9(x17811),f36(f36(f23(x17811),f5(x17811,f10(x17811))),x17812)),f36(f36(f23(x17811),x17813),x17812)),f36(f36(f23(x17811),f5(x17811,x17813)),x17812))
% 39.29/39.41 [1791]E(x17911,x17912)+~E(f36(f36(f9(a1),f12(a1,x17913,f10(a1))),x17911),f36(f36(f9(a1),f12(a1,x17913,f10(a1))),x17912))
% 39.29/39.41 [1798]~P61(x17981)+~P8(x17981,f12(x17981,f36(f36(f9(x17981),x17982),x17982),f36(f36(f9(x17981),x17983),x17983)),f4(x17981))
% 39.29/39.41 [1825]~P8(a1,x18252,x18253)+P8(a1,f36(f36(f9(a1),f12(a1,x18251,f10(a1))),x18252),f36(f36(f9(a1),f12(a1,x18251,f10(a1))),x18253))
% 39.29/39.41 [1836]~P43(x18361)+P7(a61,f19(x18361,f36(f36(f9(x18361),x18362),x18363)),f36(f36(f9(a61),f36(f36(f9(a61),f19(x18361,x18362)),f19(x18361,x18363))),f40(x18361)))
% 39.29/39.41 [1839]P7(a1,x18391,x18392)+~P7(a1,f36(f36(f9(a1),f12(a1,x18393,f10(a1))),x18391),f36(f36(f9(a1),f12(a1,x18393,f10(a1))),x18392))
% 39.29/39.41 [1844]~P44(x18441)+E(f11(x18441,f36(f36(f23(x18441),x18442),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1))),f36(f36(f23(x18441),x18443),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1)))),f36(f36(f9(x18441),f11(x18441,x18442,x18443)),f12(x18441,x18442,x18443)))
% 39.29/39.41 [1864]~P44(x18641)+E(f12(f62(x18641),f36(f36(f9(f62(x18641)),f15(x18641,f5(x18641,x18642),f15(x18641,f10(x18641),f4(f62(x18641))))),f22(x18641,x18643,x18642)),f15(x18641,f36(f14(x18641,x18643),x18642),f4(f62(x18641)))),x18643)
% 39.29/39.41 [1500]~P2(x15001)+E(f36(f36(f9(x15001),f36(f36(f23(x15001),x15002),x15003)),x15002),f36(f36(f9(x15001),x15002),f36(f36(f23(x15001),x15002),x15003)))
% 39.29/39.41 [1515]~P2(x15151)+E(f36(f36(f9(x15151),f36(f36(f23(x15151),x15152),x15153)),x15152),f36(f36(f23(x15151),x15152),f12(a1,x15153,f10(a1))))
% 39.29/39.41 [1516]~P42(x15161)+E(f36(f36(f9(x15161),f36(f36(f23(x15161),x15162),x15163)),x15162),f36(f36(f23(x15161),x15162),f12(a1,x15163,f10(a1))))
% 39.29/39.41 [1333]~P42(x13331)+E(f12(x13331,x13332,f12(x13331,x13333,x13334)),f12(x13331,x13333,f12(x13331,x13332,x13334)))
% 39.29/39.41 [1335]~P42(x13351)+E(f12(x13351,f12(x13351,x13352,x13353),x13354),f12(x13351,x13352,f12(x13351,x13353,x13354)))
% 39.29/39.41 [1336]~P16(x13361)+E(f12(x13361,f12(x13361,x13362,x13363),x13364),f12(x13361,x13362,f12(x13361,x13363,x13364)))
% 39.29/39.41 [1337]~P42(x13371)+E(f12(x13371,f12(x13371,x13372,x13373),x13374),f12(x13371,f12(x13371,x13372,x13374),x13373))
% 39.29/39.41 [1495]~P50(x14951)+E(f22(x14951,f15(x14951,x14952,x14953),x14954),f15(x14951,f36(f14(x14951,x14953),x14954),f22(x14951,x14953,x14954)))
% 39.29/39.41 [1525]~P50(x15251)+E(f15(x15251,f36(f36(f9(x15251),x15252),x15253),f21(x15251,x15252,x15254)),f21(x15251,x15252,f15(x15251,x15253,x15254)))
% 39.29/39.41 [1538]~P48(x15381)+E(f11(f62(x15381),f21(x15381,x15382,x15383),f21(x15381,x15384,x15383)),f21(x15381,f11(x15381,x15382,x15384),x15383))
% 39.29/39.41 [1539]~P50(x15391)+E(f12(f62(x15391),f21(x15391,x15392,x15393),f21(x15391,x15394,x15393)),f21(x15391,f12(x15391,x15392,x15394),x15393))
% 39.29/39.41 [909]~P32(x9092)+E(f36(f5(f66(x9091,x9092),x9093),x9094),f5(x9092,f36(x9093,x9094)))
% 39.29/39.41 [1382]~P11(x13821)+E(f21(x13821,x13822,f8(f62(x13821),x13823,x13824)),f8(f62(x13821),f21(x13821,x13822,x13823),x13824))
% 39.29/39.41 [1443]~P50(x14431)+E(f36(f14(x14431,x14432),f36(f14(x14431,x14433),x14434)),f36(f14(x14431,f18(x14431,x14432,x14433)),x14434))
% 39.29/39.41 [1458]~P50(x14581)+E(f36(f36(f9(x14581),x14582),f36(f14(x14581,x14583),x14584)),f36(f14(x14581,f21(x14581,x14582,x14583)),x14584))
% 39.29/39.41 [1576]~P48(x15761)+E(f11(f62(x15761),f21(x15761,x15762,x15763),f21(x15761,x15762,x15764)),f21(x15761,x15762,f11(f62(x15761),x15763,x15764)))
% 39.29/39.41 [1577]~P50(x15771)+E(f12(f62(x15771),f21(x15771,x15772,x15773),f21(x15771,x15772,x15774)),f21(x15771,x15772,f12(f62(x15771),x15773,x15774)))
% 39.29/39.41 [1658]~P35(x16581)+E(f12(x16581,f3(x16581,x16582),f11(x16581,f3(x16581,x16583),x16584)),f11(x16581,f3(x16581,f12(a59,x16582,x16583)),x16584))
% 39.29/39.41 [1659]~P35(x16591)+E(f12(x16591,f3(x16591,x16592),f12(x16591,f3(x16591,x16593),x16594)),f12(x16591,f3(x16591,f12(a59,x16592,x16593)),x16594))
% 39.29/39.41 [1772]~P50(x17721)+E(f12(f62(x17721),f15(x17721,x17722,f4(f62(x17721))),f36(f36(f9(f62(x17721)),x17723),f18(x17721,x17724,x17723))),f18(x17721,f15(x17721,x17722,x17724),x17723))
% 39.29/39.41 [1300]~P42(x13001)+E(f36(f36(f9(x13001),x13002),f36(f36(f9(x13001),x13003),x13004)),f36(f36(f9(x13001),x13003),f36(f36(f9(x13001),x13002),x13004)))
% 39.29/39.41 [1317]~P50(x13171)+E(f21(x13171,f36(f36(f9(x13171),x13172),x13173),x13174),f21(x13171,x13172,f21(x13171,x13173,x13174)))
% 39.29/39.41 [1511]~P43(x15111)+E(f11(x15111,f36(f36(f9(x15111),x15112),x15113),f36(f36(f9(x15111),x15112),x15114)),f36(f36(f9(x15111),x15112),f11(x15111,x15113,x15114)))
% 39.29/39.41 [1512]~P42(x15121)+E(f12(x15121,f36(f36(f9(x15121),x15122),x15123),f36(f36(f9(x15121),x15122),x15124)),f36(f36(f9(x15121),x15122),f12(x15121,x15123,x15124)))
% 39.29/39.41 [1514]~P43(x15141)+E(f12(x15141,f36(f36(f9(x15141),x15142),x15143),f36(f36(f9(x15141),x15142),x15144)),f36(f36(f9(x15141),x15142),f12(x15141,x15143,x15144)))
% 39.29/39.41 [1615]~P48(x16151)+E(f11(x16151,f36(f14(x16151,x16152),x16153),f36(f14(x16151,x16154),x16153)),f36(f14(x16151,f11(f62(x16151),x16152,x16154)),x16153))
% 39.29/39.41 [1616]~P50(x16161)+E(f12(x16161,f36(f14(x16161,x16162),x16163),f36(f14(x16161,x16164),x16163)),f36(f14(x16161,f12(f62(x16161),x16162,x16164)),x16163))
% 39.29/39.41 [1638]~P2(x16381)+E(f36(f36(f9(x16381),f36(f36(f23(x16381),x16382),x16383)),f36(f36(f23(x16381),x16382),x16384)),f36(f36(f23(x16381),x16382),f12(a1,x16383,x16384)))
% 39.29/39.41 [1639]~P42(x16391)+E(f36(f36(f9(x16391),f36(f36(f23(x16391),x16392),x16393)),f36(f36(f23(x16391),x16392),x16394)),f36(f36(f23(x16391),x16392),f12(a1,x16393,x16394)))
% 39.29/39.41 [1652]~P43(x16521)+E(f11(x16521,f36(f36(f9(x16521),x16522),x16523),f36(f36(f9(x16521),x16524),x16523)),f36(f36(f9(x16521),f11(x16521,x16522,x16524)),x16523))
% 39.29/39.41 [1655]~P43(x16551)+E(f12(x16551,f36(f36(f9(x16551),x16552),x16553),f36(f36(f9(x16551),x16554),x16553)),f36(f36(f9(x16551),f12(x16551,x16552,x16554)),x16553))
% 39.29/39.41 [1656]~P49(x16561)+E(f12(x16561,f36(f36(f9(x16561),x16562),x16563),f36(f36(f9(x16561),x16564),x16563)),f36(f36(f9(x16561),f12(x16561,x16562,x16564)),x16563))
% 39.29/39.41 [1657]~P42(x16571)+E(f12(x16571,f36(f36(f9(x16571),x16572),x16573),f36(f36(f9(x16571),x16574),x16573)),f36(f36(f9(x16571),f12(x16571,x16572,x16574)),x16573))
% 39.29/39.41 [1697]~P50(x16971)+E(f12(x16971,x16972,f36(f36(f9(x16971),x16973),f36(f14(x16971,x16974),x16973))),f36(f14(x16971,f15(x16971,x16972,x16974)),x16973))
% 39.29/39.41 [1722]~P35(x17221)+E(f12(x17221,f3(x17221,x17222),f11(x17221,x17223,f3(x17221,x17224))),f12(x17221,f3(x17221,f12(a59,x17222,f5(a59,x17224))),x17223))
% 39.29/39.41 [1461]~P50(x14611)+E(f21(x14611,x14612,f36(f36(f9(f62(x14611)),x14613),x14614)),f36(f36(f9(f62(x14611)),x14613),f21(x14611,x14612,x14614)))
% 39.29/39.41 [1473]~P11(x14731)+E(f8(f62(x14731),x14732,f36(f36(f9(f62(x14731)),x14733),x14734)),f8(f62(x14731),f8(f62(x14731),x14732,x14733),x14734))
% 39.29/39.41 [1492]~P42(x14921)+E(f36(f36(f23(x14921),f36(f36(f23(x14921),x14922),x14923)),x14924),f36(f36(f23(x14921),x14922),f36(f36(f9(a1),x14923),x14924)))
% 39.29/39.41 [1493]~P2(x14931)+E(f36(f36(f23(x14931),f36(f36(f23(x14931),x14932),x14933)),x14934),f36(f36(f23(x14931),x14932),f36(f36(f9(a1),x14933),x14934)))
% 39.29/39.41 [1501]~P42(x15011)+E(f36(f36(f9(x15011),f36(f36(f9(x15011),x15012),x15013)),x15014),f36(f36(f9(x15011),x15012),f36(f36(f9(x15011),x15013),x15014)))
% 39.29/39.41 [1502]~P15(x15021)+E(f36(f36(f9(x15021),f36(f36(f9(x15021),x15022),x15023)),x15024),f36(f36(f9(x15021),x15022),f36(f36(f9(x15021),x15023),x15024)))
% 39.29/39.41 [1619]~P50(x16191)+E(f21(x16191,x16192,f36(f36(f9(f62(x16191)),x16193),x16194)),f36(f36(f9(f62(x16191)),f21(x16191,x16192,x16193)),x16194))
% 39.29/39.41 [1637]~P42(x16371)+E(f36(f36(f9(x16371),f36(f36(f9(x16371),x16372),x16373)),x16374),f36(f36(f9(x16371),f36(f36(f9(x16371),x16372),x16374)),x16373))
% 39.29/39.41 [1719]~P42(x17191)+E(f36(f36(f9(x17191),f36(f36(f23(x17191),x17192),x17193)),f36(f36(f23(x17191),x17194),x17193)),f36(f36(f23(x17191),f36(f36(f9(x17191),x17192),x17194)),x17193))
% 39.29/39.41 [1720]~P3(x17201)+E(f36(f36(f9(x17201),f36(f36(f23(x17201),x17202),x17203)),f36(f36(f23(x17201),x17204),x17203)),f36(f36(f23(x17201),f36(f36(f9(x17201),x17202),x17204)),x17203))
% 39.29/39.41 [1757]~P50(x17571)+E(f12(f62(x17571),f36(f36(f9(f62(x17571)),x17572),x17573),f36(f36(f9(f62(x17571)),x17574),x17573)),f36(f36(f9(f62(x17571)),f12(f62(x17571),x17572,x17574)),x17573))
% 39.29/39.41 [1676]~P42(x16761)+E(f36(f14(x16761,f36(f36(f23(f62(x16761)),x16762),x16763)),x16764),f36(f36(f23(x16761),f36(f14(x16761,x16762),x16764)),x16763))
% 39.29/39.41 [1737]~P50(x17371)+E(f36(f36(f9(x17371),f36(f14(x17371,x17372),x17373)),f36(f14(x17371,x17374),x17373)),f36(f14(x17371,f36(f36(f9(f62(x17371)),x17372),x17374)),x17373))
% 39.29/39.41 [1782]~P50(x17821)+E(f12(f62(x17821),f21(x17821,x17822,x17823),f15(x17821,f4(x17821),f36(f36(f9(f62(x17821)),x17823),x17824))),f36(f36(f9(f62(x17821)),x17823),f15(x17821,x17822,x17824)))
% 39.29/39.41 [1783]~P35(x17831)+E(f36(f36(f9(x17831),f3(x17831,x17832)),f36(f36(f9(x17831),f3(x17831,x17833)),x17834)),f36(f36(f9(x17831),f3(x17831,f36(f36(f9(a59),x17832),x17833))),x17834))
% 39.29/39.41 [1795]~P50(x17951)+E(f12(f62(x17951),f21(x17951,x17952,x17953),f15(x17951,f4(x17951),f36(f36(f9(f62(x17951)),x17954),x17953))),f36(f36(f9(f62(x17951)),f15(x17951,x17952,x17954)),x17953))
% 39.29/39.41 [862]~P9(x8624,x8625,x8621)+E(f36(x8621,x8622),f36(x8621,x8623))
% 39.29/39.41 [1671]~P4(x16711)+E(f12(x16711,f11(x16711,x16712,x16713),f11(x16711,x16714,x16715)),f11(x16711,f12(x16711,x16712,x16714),f12(x16711,x16713,x16715)))
% 39.29/39.41 [1672]~P42(x16721)+E(f12(x16721,f12(x16721,x16722,x16723),f12(x16721,x16724,x16725)),f12(x16721,f12(x16721,x16722,x16724),f12(x16721,x16723,x16725)))
% 39.29/39.41 [1249]~P22(x12492)+E(f36(f11(f66(x12491,x12492),x12493,x12494),x12495),f11(x12492,f36(x12493,x12495),f36(x12494,x12495)))
% 39.29/39.41 [1677]~P4(x16771)+E(f15(x16771,f11(x16771,x16772,x16773),f11(f62(x16771),x16774,x16775)),f11(f62(x16771),f15(x16771,x16772,x16774),f15(x16771,x16773,x16775)))
% 39.29/39.41 [1678]~P20(x16781)+E(f15(x16781,f12(x16781,x16782,x16783),f12(f62(x16781),x16784,x16785)),f12(f62(x16781),f15(x16781,x16782,x16784),f15(x16781,x16783,x16785)))
% 39.29/39.41 [1845]~P45(x18451)+P7(a61,f19(x18451,f11(x18451,f12(x18451,x18452,x18453),f12(x18451,x18454,x18455))),f12(a61,f19(x18451,f11(x18451,x18452,x18454)),f19(x18451,f11(x18451,x18453,x18455))))
% 39.29/39.41 [1770]~P42(x17701)+E(f36(f36(f9(x17701),f36(f36(f9(x17701),x17702),x17703)),f36(f36(f9(x17701),x17704),x17705)),f36(f36(f9(x17701),f36(f36(f9(x17701),x17702),x17704)),f36(f36(f9(x17701),x17703),x17705)))
% 39.29/39.41 [1821]~P72(x18211)+E(f12(x18211,f36(f36(f9(x18211),x18212),f11(x18211,x18213,x18214)),f36(f36(f9(x18211),f11(x18211,x18212,x18215)),x18214)),f11(x18211,f36(f36(f9(x18211),x18212),x18213),f36(f36(f9(x18211),x18215),x18214)))
% 39.29/39.41 [1865]~P43(x18651)+E(f12(x18651,f12(x18651,f36(f36(f9(x18651),f11(x18651,x18652,x18653)),f11(x18651,x18654,x18655)),f36(f36(f9(x18651),f11(x18651,x18652,x18653)),x18655)),f36(f36(f9(x18651),x18653),f11(x18651,x18654,x18655))),f11(x18651,f36(f36(f9(x18651),x18652),x18654),f36(f36(f9(x18651),x18653),x18655)))
% 39.29/39.41 [1814]~P75(x18141)+E(f12(x18141,f36(f36(f9(x18141),x18142),x18143),f12(x18141,f36(f36(f9(x18141),x18144),x18143),x18145)),f12(x18141,f36(f36(f9(x18141),f12(x18141,x18142,x18144)),x18143),x18145))
% 39.29/39.41 [1841]~P7(a1,x18411,x18414)+E(f11(a1,f12(a1,f36(f36(f9(a1),x18411),x18412),x18413),f12(a1,f36(f36(f9(a1),x18414),x18412),x18415)),f11(a1,x18413,f12(a1,f36(f36(f9(a1),f11(a1,x18414,x18411)),x18412),x18415)))
% 39.29/39.41 [1842]~P7(a1,x18424,x18421)+E(f11(a1,f12(a1,f36(f36(f9(a1),x18421),x18422),x18423),f12(a1,f36(f36(f9(a1),x18424),x18422),x18425)),f11(a1,f12(a1,f36(f36(f9(a1),f11(a1,x18421,x18424)),x18422),x18423),x18425))
% 39.29/39.41 [1228]~P8(a1,f6(a2,x12281),f6(a2,a63))+P9(a2,a2,f14(a2,x12281))+E(f36(f14(a2,x12281),f28(x12281)),f4(a2))
% 39.29/39.41 [1758]E(x17581,f4(a1))+E(x17581,f12(a1,f4(a1),f10(a1)))+~P8(a1,x17581,f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1)))
% 39.29/39.41 [853]E(x8531,x8532)+P8(a1,x8532,x8531)+P8(a1,x8531,x8532)
% 39.29/39.41 [854]E(x8541,x8542)+P8(a59,x8542,x8541)+P8(a59,x8541,x8542)
% 39.29/39.41 [915]E(x9151,x9152)+P8(a1,x9151,x9152)+~P7(a1,x9151,x9152)
% 39.29/39.41 [916]E(x9161,x9162)+P8(a59,x9161,x9162)+~P7(a59,x9161,x9162)
% 39.29/39.41 [918]E(x9181,x9182)+P8(a61,x9181,x9182)+~P7(a61,x9181,x9182)
% 39.29/39.41 [971]E(x9711,x9712)+~P7(a1,x9712,x9711)+~P7(a1,x9711,x9712)
% 39.29/39.41 [972]E(x9721,x9722)+~P7(a59,x9722,x9721)+~P7(a59,x9721,x9722)
% 39.29/39.41 [973]E(x9731,x9732)+~P7(a61,x9732,x9731)+~P7(a61,x9731,x9732)
% 39.29/39.41 [647]~P23(x6471)+~E(x6472,f4(x6471))+E(f5(x6471,x6472),x6472)
% 39.29/39.41 [652]~P45(x6521)+~E(x6522,f4(x6521))+E(f19(x6521,x6522),f4(a61))
% 39.29/39.41 [653]~P21(x6531)+~E(f4(x6531),x6532)+E(f5(x6531,x6532),f4(x6531))
% 39.29/39.41 [654]~P57(x6541)+~E(x6542,f4(x6541))+E(f13(x6541,x6542),f4(x6541))
% 39.29/39.41 [655]~P13(x6551)+~E(x6552,f10(x6551))+E(f13(x6551,x6552),f10(x6551))
% 39.29/39.41 [656]~P21(x6561)+~E(x6562,f4(x6561))+E(f5(x6561,x6562),f4(x6561))
% 39.29/39.41 [658]~P23(x6582)+~E(f5(x6582,x6581),x6581)+E(x6581,f4(x6582))
% 39.29/39.41 [665]~P45(x6652)+E(x6651,f4(x6652))+~E(f19(x6652,x6651),f4(a61))
% 39.29/39.41 [666]~P57(x6662)+~E(f13(x6662,x6661),f4(x6662))+E(x6661,f4(x6662))
% 39.29/39.41 [668]~P58(x6682)+~E(f13(x6682,x6681),f4(x6682))+E(x6681,f4(x6682))
% 39.29/39.41 [669]~P21(x6692)+~E(f5(x6692,x6691),f4(x6692))+E(x6691,f4(x6692))
% 39.29/39.41 [670]~P13(x6702)+~E(f13(x6702,x6701),f10(x6702))+E(x6701,f10(x6702))
% 39.29/39.41 [671]~P21(x6711)+~E(f5(x6711,x6712),f4(x6711))+E(f4(x6711),x6712)
% 39.29/39.41 [723]~E(x7232,f4(a1))+~E(x7231,f4(a1))+E(f12(a1,x7231,x7232),f4(a1))
% 39.29/39.41 [745]~P5(x7452)+E(f8(x7452,x7451,x7451),f10(x7452))+E(x7451,f4(x7452))
% 39.29/39.41 [758]~P23(x7581)+~E(x7582,f4(x7581))+E(f12(x7581,x7582,x7582),f4(x7581))
% 39.29/39.41 [816]~P45(x8162)+E(x8161,f4(x8162))+P8(a61,f4(a61),f19(x8162,x8161))
% 39.29/39.41 [829]~P45(x8291)+~E(x8292,f4(x8291))+P7(a61,f19(x8291,x8292),f4(a61))
% 39.29/39.41 [842]~P23(x8422)+~E(f12(x8422,x8421,x8421),f4(x8422))+E(x8421,f4(x8422))
% 39.29/39.41 [850]~P42(x8502)+~P10(x8502,f4(x8502),x8501)+E(x8501,f4(x8502))
% 39.29/39.41 [920]~P45(x9202)+E(x9201,f4(x9202))+~P7(a61,f19(x9202,x9201),f4(a61))
% 39.29/39.41 [925]~P45(x9252)+~E(x9251,f4(x9252))+~P8(a61,f4(a61),f19(x9252,x9251))
% 39.29/39.41 [981]E(x9811,x9812)+~E(f11(a1,x9812,x9811),f4(a1))+~E(f11(a1,x9811,x9812),f4(a1))
% 39.29/39.41 [1014]~P23(x10141)+~P7(x10141,x10142,f4(x10141))+P7(x10141,x10142,f5(x10141,x10142))
% 39.29/39.41 [1015]~P54(x10151)+~P8(x10151,x10152,f4(x10151))+P8(x10151,x10152,f5(x10151,x10152))
% 39.29/39.41 [1016]~P23(x10161)+~P7(x10161,f4(x10161),x10162)+P7(x10161,f5(x10161,x10162),x10162)
% 39.29/39.41 [1017]~P23(x10171)+~P8(x10171,f4(x10171),x10172)+P8(x10171,f5(x10171,x10172),x10172)
% 39.29/39.41 [1026]~P30(x10261)+~P7(x10261,x10262,f4(x10261))+P7(x10261,f4(x10261),f5(x10261,x10262))
% 39.29/39.41 [1027]~P30(x10271)+~P8(x10271,x10272,f4(x10271))+P8(x10271,f4(x10271),f5(x10271,x10272))
% 39.29/39.41 [1028]~P12(x10281)+~P7(x10281,f4(x10281),x10282)+P7(x10281,f4(x10281),f13(x10281,x10282))
% 39.29/39.41 [1029]~P12(x10291)+~P8(x10291,f4(x10291),x10292)+P8(x10291,f4(x10291),f13(x10291,x10292))
% 39.29/39.41 [1030]~P14(x10301)+~P8(x10301,f4(x10301),x10302)+P8(x10301,f4(x10301),f13(x10301,x10302))
% 39.29/39.41 [1031]~P12(x10311)+~P7(x10311,x10312,f4(x10311))+P7(x10311,f13(x10311,x10312),f4(x10311))
% 39.29/39.41 [1032]~P12(x10321)+~P7(x10321,x10322,f4(x10321))+P7(x10321,f13(x10321,x10322),f10(x10321))
% 39.29/39.41 [1033]~P12(x10331)+~P8(x10331,x10332,f4(x10331))+P8(x10331,f13(x10331,x10332),f4(x10331))
% 39.29/39.41 [1034]~P14(x10341)+~P8(x10341,x10342,f4(x10341))+P8(x10341,f13(x10341,x10342),f4(x10341))
% 39.29/39.41 [1035]~P12(x10351)+~P7(x10351,x10352,f4(x10351))+P8(x10351,f13(x10351,x10352),f10(x10351))
% 39.29/39.41 [1036]~P12(x10361)+~P7(x10361,f10(x10361),x10362)+P7(x10361,f13(x10361,x10362),f10(x10361))
% 39.29/39.41 [1037]~P30(x10371)+~P7(x10371,f4(x10371),x10372)+P7(x10371,f5(x10371,x10372),f4(x10371))
% 39.29/39.41 [1038]~P12(x10381)+~P8(x10381,f10(x10381),x10382)+P8(x10381,f13(x10381,x10382),f10(x10381))
% 39.29/39.41 [1039]~P30(x10391)+~P8(x10391,f4(x10391),x10392)+P8(x10391,f5(x10391,x10392),f4(x10391))
% 39.29/39.41 [1042]~P23(x10421)+~P7(x10421,x10422,f5(x10421,x10422))+P7(x10421,x10422,f4(x10421))
% 39.29/39.41 [1043]~P54(x10431)+~P8(x10431,x10432,f5(x10431,x10432))+P8(x10431,x10432,f4(x10431))
% 39.29/39.41 [1044]~P23(x10441)+~P7(x10441,f5(x10441,x10442),x10442)+P7(x10441,f4(x10441),x10442)
% 39.29/39.41 [1045]~P23(x10451)+~P8(x10451,f5(x10451,x10452),x10452)+P8(x10451,f4(x10451),x10452)
% 39.29/39.41 [1062]~P30(x10621)+~P7(x10621,f4(x10621),f5(x10621,x10622))+P7(x10621,x10622,f4(x10621))
% 39.29/39.41 [1063]~P12(x10631)+~P7(x10631,f10(x10631),f13(x10631,x10632))+P7(x10631,x10632,f10(x10631))
% 39.29/39.41 [1064]~P30(x10641)+~P8(x10641,f4(x10641),f5(x10641,x10642))+P8(x10641,x10642,f4(x10641))
% 39.29/39.41 [1065]~P12(x10651)+~P8(x10651,f10(x10651),f13(x10651,x10652))+P8(x10651,x10652,f10(x10651))
% 39.29/39.41 [1066]~P12(x10661)+~P7(x10661,f13(x10661,x10662),f4(x10661))+P7(x10661,x10662,f4(x10661))
% 39.29/39.41 [1067]~P12(x10671)+~P8(x10671,f13(x10671,x10672),f4(x10671))+P8(x10671,x10672,f4(x10671))
% 39.29/39.41 [1068]~P12(x10681)+~P7(x10681,f4(x10681),f13(x10681,x10682))+P7(x10681,f4(x10681),x10682)
% 39.29/39.41 [1069]~P12(x10691)+~P7(x10691,f10(x10691),f13(x10691,x10692))+P8(x10691,f4(x10691),x10692)
% 39.29/39.41 [1070]~P12(x10701)+~P8(x10701,f4(x10701),f13(x10701,x10702))+P8(x10701,f4(x10701),x10702)
% 39.29/39.41 [1071]~P12(x10711)+~P8(x10711,f10(x10711),f13(x10711,x10712))+P8(x10711,f4(x10711),x10712)
% 39.29/39.41 [1072]~P30(x10721)+~P7(x10721,f5(x10721,x10722),f4(x10721))+P7(x10721,f4(x10721),x10722)
% 39.29/39.41 [1073]~P30(x10731)+~P8(x10731,f5(x10731,x10732),f4(x10731))+P8(x10731,f4(x10731),x10732)
% 39.29/39.41 [1118]~P8(a59,x11182,x11181)+~P7(a59,x11181,f4(a59))+E(f8(a59,x11181,x11182),f4(a59))
% 39.29/39.41 [1121]~P8(a59,x11211,x11212)+~P7(a59,f4(a59),x11211)+E(f8(a59,x11211,x11212),f4(a59))
% 39.29/39.41 [1209]~P7(a59,f4(a59),x12092)+~P7(a59,f4(a59),x12091)+P7(a59,f4(a59),f16(x12091,x12092))
% 39.29/39.41 [1222]~P23(x12221)+~P7(x12221,f4(x12221),x12222)+P7(x12221,f4(x12221),f12(x12221,x12222,x12222))
% 39.29/39.41 [1223]~P23(x12231)+~P8(x12231,f4(x12231),x12232)+P8(x12231,f4(x12231),f12(x12231,x12232,x12232))
% 39.29/39.41 [1224]~P23(x12241)+~P7(x12241,x12242,f4(x12241))+P7(x12241,f12(x12241,x12242,x12242),f4(x12241))
% 39.29/39.41 [1225]~P23(x12251)+~P8(x12251,x12252,f4(x12251))+P8(x12251,f12(x12251,x12252,x12252),f4(x12251))
% 39.29/39.41 [1226]~P54(x12261)+~P8(x12261,x12262,f4(x12261))+P8(x12261,f12(x12261,x12262,x12262),f4(x12261))
% 39.29/39.41 [1339]~P23(x13391)+~P7(x13391,f12(x13391,x13392,x13392),f4(x13391))+P7(x13391,x13392,f4(x13391))
% 39.29/39.41 [1340]~P23(x13401)+~P8(x13401,f12(x13401,x13402,x13402),f4(x13401))+P8(x13401,x13402,f4(x13401))
% 39.29/39.41 [1341]~P54(x13411)+~P8(x13411,f12(x13411,x13412,x13412),f4(x13411))+P8(x13411,x13412,f4(x13411))
% 39.29/39.41 [1342]~P23(x13421)+~P7(x13421,f4(x13421),f12(x13421,x13422,x13422))+P7(x13421,f4(x13421),x13422)
% 39.29/39.41 [1343]~P23(x13431)+~P8(x13431,f4(x13431),f12(x13431,x13432,x13432))+P8(x13431,f4(x13431),x13432)
% 39.29/39.41 [1347]~P7(a59,x13472,x13471)+~P8(a59,f4(a59),x13472)+P8(a59,f4(a59),f8(a59,x13471,x13472))
% 39.29/39.41 [1348]P8(a1,f11(a1,x13481,x13482),x13481)+~P8(a1,f4(a1),x13481)+~P8(a1,f4(a1),x13482)
% 39.29/39.41 [1349]P8(a1,f8(a1,x13491,x13492),x13491)+~P8(a1,f4(a1),x13491)+~P8(a1,f10(a1),x13492)
% 39.29/39.41 [1350]P8(a59,f8(a59,x13501,x13502),x13501)+~P8(a59,f4(a59),x13501)+~P8(a59,f10(a59),x13502)
% 39.29/39.41 [1355]~P7(a59,x13551,f4(a59))+~P8(a59,x13552,f4(a59))+P7(a59,f4(a59),f8(a59,x13551,x13552))
% 39.29/39.41 [1356]~P7(a59,f4(a59),x13562)+~P7(a59,f4(a59),x13561)+P7(a59,f4(a59),f12(a59,x13561,x13562))
% 39.29/39.41 [1357]~P7(a59,f4(a59),x13572)+~P7(a59,f4(a59),x13571)+P7(a59,f4(a59),f8(a59,x13571,x13572))
% 39.29/39.41 [1358]~P7(a59,f4(a59),x13581)+~P8(a59,f4(a59),x13582)+P7(a59,f4(a59),f8(a59,x13581,x13582))
% 39.29/39.41 [1359]~P7(a59,x13591,f4(a59))+~P8(a59,f4(a59),x13592)+P7(a59,f8(a59,x13591,x13592),f4(a59))
% 39.29/39.41 [1360]~P8(a59,x13602,f4(a59))+~P7(a59,f4(a59),x13601)+P7(a59,f8(a59,x13601,x13602),f4(a59))
% 39.29/39.41 [1361]~P8(a59,x13612,f4(a59))+~P8(a59,f4(a59),x13611)+P8(a59,f8(a59,x13611,x13612),f4(a59))
% 39.29/39.41 [1363]~P8(a59,x13631,f4(a59))+~P8(a59,f4(a59),x13632)+P8(a59,f8(a59,x13631,x13632),f4(a59))
% 39.29/39.41 [1426]P8(a1,f4(a1),x14261)+P8(a1,f4(a1),x14262)+~P8(a1,f4(a1),f12(a1,x14262,x14261))
% 39.29/39.41 [1459]P7(a59,x14591,x14592)+~P8(a59,f4(a59),x14591)+~P8(a59,f4(a59),f8(a59,x14592,x14591))
% 39.29/39.41 [1460]P7(a59,x14601,x14602)+~P7(a59,f4(a59),x14602)+~P8(a59,f4(a59),f8(a59,x14602,x14601))
% 39.29/39.41 [1462]P7(a59,x14621,f4(a59))+~P8(a59,x14622,f4(a59))+~P7(a59,f4(a59),f8(a59,x14621,x14622))
% 39.29/39.41 [1463]P8(a59,x14631,f4(a59))+~P8(a59,f4(a59),x14632)+~P8(a59,f8(a59,x14631,x14632),f4(a59))
% 39.29/39.41 [1464]P8(a59,f4(a59),x14641)+~P8(a59,x14642,f4(a59))+~P8(a59,f8(a59,x14641,x14642),f4(a59))
% 39.29/39.41 [1465]P7(a59,f4(a59),x14651)+~P8(a59,f4(a59),x14652)+~P7(a59,f4(a59),f8(a59,x14651,x14652))
% 39.29/39.41 [1466]P8(a59,f4(a59),x14661)+~P7(a59,f4(a59),x14662)+~P8(a59,f4(a59),f8(a59,x14662,x14661))
% 39.29/39.41 [672]~P25(x6721)+E(f6(x6721,x6722),f4(a1))+~E(x6722,f4(f62(x6721)))
% 39.29/39.41 [673]~P25(x6732)+~E(f6(x6732,x6731),f4(a1))+E(x6731,f4(f62(x6732)))
% 39.29/39.41 [681]~P58(x6812)+E(x6811,f4(x6812))+E(f13(x6812,f13(x6812,x6811)),x6811)
% 39.29/39.41 [805]~P47(x8052)+E(x8051,f4(x8052))+E(f19(x8052,f13(x8052,x8051)),f13(a61,f19(x8052,x8051)))
% 39.29/39.41 [812]~P58(x8122)+E(x8121,f4(x8122))+E(f13(x8122,f5(x8122,x8121)),f5(x8122,f13(x8122,x8121)))
% 39.29/39.41 [813]~P47(x8131)+~P57(x8131)+E(f19(x8131,f13(x8131,x8132)),f13(a61,f19(x8131,x8132)))
% 39.29/39.41 [817]~P58(x8172)+E(x8171,f4(x8172))+E(f36(f36(f9(x8172),x8171),f13(x8172,x8171)),f10(x8172))
% 39.29/39.41 [957]P8(a1,f26(x9572,x9571),x9572)+~P78(f36(x9571,x9572))+P78(f36(x9571,f4(a1)))
% 39.29/39.41 [1012]E(x10121,f4(a1))+E(x10122,f4(a1))+~E(f12(a1,x10122,x10121),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1013]E(x10131,f4(a1))+E(x10132,f4(a1))+~E(f12(a1,f4(a1),f10(a1)),f12(a1,x10132,x10131))
% 39.29/39.41 [1081]~E(x10812,f4(a1))+~E(x10811,f12(a1,f4(a1),f10(a1)))+E(f12(a1,x10811,x10812),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1082]~E(x10821,f4(a1))+~E(x10822,f12(a1,f4(a1),f10(a1)))+E(f12(a1,x10821,x10822),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1083]~E(x10832,f4(a1))+~E(x10831,f12(a1,f4(a1),f10(a1)))+E(f12(a1,f4(a1),f10(a1)),f12(a1,x10831,x10832))
% 39.29/39.41 [1084]~E(x10841,f4(a1))+~E(x10842,f12(a1,f4(a1),f10(a1)))+E(f12(a1,f4(a1),f10(a1)),f12(a1,x10841,x10842))
% 39.29/39.41 [1152]E(x11521,f4(a1))+E(x11521,f12(a1,f4(a1),f10(a1)))+~E(f12(a1,x11522,x11521),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1153]E(x11531,f4(a1))+E(x11531,f12(a1,f4(a1),f10(a1)))+~E(f12(a1,x11531,x11532),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1154]E(x11541,f4(a1))+E(x11541,f12(a1,f4(a1),f10(a1)))+~E(f12(a1,f4(a1),f10(a1)),f12(a1,x11542,x11541))
% 39.29/39.41 [1155]E(x11551,f4(a1))+E(x11551,f12(a1,f4(a1),f10(a1)))+~E(f12(a1,f4(a1),f10(a1)),f12(a1,x11551,x11552))
% 39.29/39.41 [1269]E(x12691,f12(a1,f4(a1),f10(a1)))+E(x12692,f12(a1,f4(a1),f10(a1)))+~E(f12(a1,x12691,x12692),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1270]E(x12701,f12(a1,f4(a1),f10(a1)))+E(x12702,f12(a1,f4(a1),f10(a1)))+~E(f12(a1,f4(a1),f10(a1)),f12(a1,x12701,x12702))
% 39.29/39.41 [1279]~P8(a1,x12791,x12792)+P8(a1,f12(a1,x12791,f10(a1)),x12792)+E(f12(a1,x12791,f10(a1)),x12792)
% 39.29/39.41 [1298]E(x12981,x12982)+P8(a1,x12981,x12982)+~P8(a1,x12981,f12(a1,x12982,f10(a1)))
% 39.29/39.41 [1299]E(x12991,x12992)+P8(a59,x12991,x12992)+~P8(a59,x12991,f12(a59,x12992,f10(a59)))
% 39.29/39.41 [1364]P8(a1,f54(x13642,x13641),x13642)+E(x13641,f4(a1))+~P8(a1,x13641,f12(a1,x13642,f10(a1)))
% 39.29/39.41 [1370]E(x13701,x13702)+~P7(a1,x13702,x13701)+~P8(a1,x13701,f12(a1,x13702,f10(a1)))
% 39.29/39.41 [1371]E(x13711,f4(a1))+~P8(a1,x13711,f12(a1,x13712,f10(a1)))+E(f12(a1,f54(x13712,x13711),f10(a1)),x13711)
% 39.29/39.41 [1436]P7(a1,x14361,x14362)+~P7(a1,x14361,f12(a1,x14362,f10(a1)))+E(x14361,f12(a1,x14362,f10(a1)))
% 39.29/39.41 [1680]P8(a1,x16801,x16802)+~P8(a1,f4(a1),x16802)+E(f12(a1,f8(a1,f11(a1,x16801,x16802),x16802),f10(a1)),f8(a1,x16801,x16802))
% 39.29/39.41 [1708]~P7(a1,x17082,x17081)+~P8(a1,f4(a1),x17082)+E(f12(a1,f8(a1,f11(a1,x17081,x17082),x17082),f10(a1)),f8(a1,x17081,x17082))
% 39.29/39.41 [702]~E(x7022,f10(a1))+~E(x7021,f10(a1))+E(f36(f36(f9(a1),x7021),x7022),f10(a1))
% 39.29/39.41 [751]~P67(x7511)+~E(x7512,f10(x7511))+E(f36(f36(f9(x7511),x7512),x7512),f10(x7511))
% 39.29/39.41 [773]E(x7731,f10(a1))+E(x7732,f4(a1))+~E(f36(f36(f9(a1),x7732),x7731),x7732)
% 39.29/39.41 [777]E(x7771,f4(a1))+E(x7772,f4(a1))+~E(f36(f36(f9(a1),x7772),x7771),f4(a1))
% 39.29/39.41 [827]~P67(x8271)+~E(x8272,f5(x8271,f10(x8271)))+E(f36(f36(f9(x8271),x8272),x8272),f10(x8271))
% 39.29/39.41 [884]~P11(x8842)+E(x8841,f4(x8842))+E(f36(f36(f9(x8842),f13(x8842,x8841)),x8841),f10(x8842))
% 39.29/39.41 [885]~P58(x8852)+E(x8851,f4(x8852))+E(f36(f36(f9(x8852),f13(x8852,x8851)),x8851),f10(x8852))
% 39.29/39.41 [967]E(x9671,f10(a59))+~P8(a59,f4(a59),x9672)+~E(f36(f36(f9(a59),x9672),x9671),f10(a59))
% 39.29/39.41 [968]E(x9681,f10(a59))+~P8(a59,f4(a59),x9681)+~E(f36(f36(f9(a59),x9681),x9682),f10(a59))
% 39.29/39.41 [1041]~P1(x10411)+~P51(x10411)+E(f36(f36(f23(x10411),f4(x10411)),f12(a1,x10412,f10(a1))),f4(x10411))
% 39.29/39.41 [1122]E(x11221,f4(a1))+E(x11222,f12(a1,f4(a1),f10(a1)))+~E(f36(f36(f23(a1),x11222),x11221),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1257]E(x12571,f4(a1))+P8(a1,f4(a1),x12572)+~P8(a1,f4(a1),f36(f36(f23(a1),x12572),x12571))
% 39.29/39.41 [1258]~E(x12582,f12(a1,f4(a1),f10(a1)))+~E(x12581,f12(a1,f4(a1),f10(a1)))+E(f36(f36(f9(a1),x12581),x12582),f12(a1,f4(a1),f10(a1)))
% 39.29/39.41 [1313]~P7(a59,f4(a59),x13132)+~P7(a59,f4(a59),x13131)+P7(a59,f4(a59),f36(f36(f9(a59),x13131),x13132))
% 39.29/39.41 [1314]~P8(a1,f4(a1),x13142)+~P8(a1,f4(a1),x13141)+P8(a1,f4(a1),f36(f36(f9(a1),x13141),x13142))
% 39.29/39.41 [1315]~P8(a61,f4(a61),x13152)+~P8(a61,f4(a61),x13151)+P8(a61,f4(a61),f36(f36(f9(a61),x13151),x13152))
% 39.29/39.41 [1535]~P78(f36(x15351,x15352))+P78(f36(x15351,f4(a1)))+P78(f36(x15351,f12(a1,f26(x15352,x15351),f10(a1))))
% 39.29/39.41 [1750]~P8(a1,f12(a1,f4(a1),f10(a1)),x17502)+~P8(a1,f12(a1,f4(a1),f10(a1)),x17501)+P8(a1,x17501,f36(f36(f9(a1),x17502),x17501))
% 39.29/39.41 [1751]~P8(a1,f12(a1,f4(a1),f10(a1)),x17512)+~P8(a1,f12(a1,f4(a1),f10(a1)),x17511)+P8(a1,x17511,f36(f36(f9(a1),x17511),x17512))
% 39.29/39.41 [1784]~P7(a1,f12(a1,f4(a1),f10(a1)),x17842)+~P7(a1,f12(a1,f4(a1),f10(a1)),x17841)+P7(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),x17841),x17842))
% 39.29/39.41 [1785]~P8(a1,f12(a1,f4(a1),f10(a1)),x17851)+~P8(a1,f12(a1,f4(a1),f10(a1)),x17852)+P8(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),x17851),x17852))
% 39.29/39.41 [1194]~E(x11942,f4(a61))+~E(x11941,f4(a61))+E(f12(a61,f36(f36(f9(a61),x11941),x11941),f36(f36(f9(a61),x11942),x11942)),f4(a61))
% 39.29/39.41 [1763]~P8(a1,f4(a1),x17632)+~P8(a59,f4(a59),x17631)+E(f8(a59,f36(f36(f23(a59),x17631),x17632),x17631),f36(f36(f23(a59),x17631),f11(a1,x17632,f12(a1,f4(a1),f10(a1)))))
% 39.29/39.41 [1846]E(x18461,f4(a1))+E(x18462,f4(a2))+P8(a61,f19(a2,f12(a2,f10(a2),f36(f36(f9(a2),x18462),f36(f36(f23(a2),f35(x18461,x18462)),x18461)))),f10(a61))
% 39.29/39.41 [714]~E(x7142,x7143)+~P33(x7141)+P7(x7141,x7142,x7143)
% 39.29/39.41 [716]~E(x7162,x7163)+~P41(x7161)+P7(x7161,x7162,x7163)
% 39.29/39.41 [825]~P8(x8253,x8251,x8252)+~E(x8251,x8252)+~P34(x8253)
% 39.29/39.41 [826]~P8(x8263,x8261,x8262)+~E(x8261,x8262)+~P41(x8263)
% 39.29/39.41 [868]P7(x8681,x8683,x8682)+~P34(x8681)+P7(x8681,x8682,x8683)
% 39.29/39.41 [873]P8(x8731,x8733,x8732)+~P34(x8731)+P7(x8731,x8732,x8733)
% 39.29/39.41 [931]~P33(x9311)+~P8(x9311,x9312,x9313)+P7(x9311,x9312,x9313)
% 39.29/39.41 [933]~P41(x9331)+~P8(x9331,x9332,x9333)+P7(x9331,x9332,x9333)
% 39.29/39.41 [986]~P8(x9861,x9863,x9862)+~P33(x9861)+~P7(x9861,x9862,x9863)
% 39.29/39.41 [990]~P8(x9901,x9903,x9902)+~P33(x9901)+~P8(x9901,x9902,x9903)
% 39.29/39.41 [993]~P8(x9931,x9933,x9932)+~P34(x9931)+~P7(x9931,x9932,x9933)
% 39.29/39.41 [994]~P8(x9941,x9943,x9942)+~P34(x9941)+~P8(x9941,x9942,x9943)
% 39.29/39.41 [995]~P8(x9951,x9953,x9952)+~P41(x9951)+~P8(x9951,x9952,x9953)
% 39.29/39.41 [1101]~P7(a1,x11011,x11013)+P7(a1,x11011,x11012)+~P7(a1,x11013,x11012)
% 39.29/39.41 [1102]~P7(a59,x11021,x11023)+P7(a59,x11021,x11022)+~P7(a59,x11023,x11022)
% 39.29/39.41 [1103]~P7(a61,x11031,x11033)+P7(a61,x11031,x11032)+~P7(a61,x11033,x11032)
% 39.29/39.41 [675]~P21(x6752)+~E(x6753,f5(x6752,x6751))+E(x6751,f5(x6752,x6753))
% 39.29/39.41 [677]~P21(x6771)+~E(f5(x6771,x6773),x6772)+E(f5(x6771,x6772),x6773)
% 39.29/39.41 [683]~P57(x6833)+E(x6831,x6832)+~E(f13(x6833,x6831),f13(x6833,x6832))
% 39.29/39.41 [684]~P21(x6843)+E(x6841,x6842)+~E(f5(x6843,x6841),f5(x6843,x6842))
% 39.29/39.41 [685]~P38(x6853)+E(x6851,x6852)+~E(f5(x6853,x6851),f5(x6853,x6852))
% 39.29/39.41 [736]~E(x7362,x7363)+~P21(x7361)+E(f11(x7361,x7362,x7363),f4(x7361))
% 39.29/39.41 [737]~E(x7372,x7373)+~P4(x7371)+E(f11(x7371,x7372,x7373),f4(x7371))
% 39.29/39.41 [746]~P77(x7461)+~E(x7463,f4(x7461))+E(f12(x7461,x7462,x7463),x7462)
% 39.29/39.41 [797]~P21(x7971)+~E(x7973,f5(x7971,x7972))+E(f12(x7971,x7972,x7973),f4(x7971))
% 39.29/39.41 [798]~P21(x7981)+~E(x7982,f5(x7981,x7983))+E(f12(x7981,x7982,x7983),f4(x7981))
% 39.29/39.41 [836]~P77(x8362)+~E(f12(x8362,x8363,x8361),x8363)+E(x8361,f4(x8362))
% 39.29/39.41 [839]~P21(x8393)+E(x8391,x8392)+~E(f11(x8393,x8391,x8392),f4(x8393))
% 39.29/39.41 [840]~P4(x8403)+E(x8401,x8402)+~E(f11(x8403,x8401,x8402),f4(x8403))
% 39.29/39.41 [863]~P21(x8632)+~E(f12(x8632,x8633,x8631),f4(x8632))+E(x8631,f5(x8632,x8633))
% 39.29/39.41 [864]~P21(x8642)+~E(f12(x8642,x8641,x8643),f4(x8642))+E(x8641,f5(x8642,x8643))
% 39.29/39.41 [865]~P21(x8651)+~E(f12(x8651,x8652,x8653),f4(x8651))+E(f5(x8651,x8652),x8653)
% 39.29/39.41 [978]~P44(x9781)+~P10(x9781,x9782,x9783)+P10(x9781,x9782,f5(x9781,x9783))
% 39.29/39.41 [979]~P44(x9791)+~P10(x9791,x9792,x9793)+P10(x9791,f5(x9791,x9792),x9793)
% 39.29/39.41 [1021]~P44(x10211)+P10(x10211,x10212,x10213)+~P10(x10211,x10212,f5(x10211,x10213))
% 39.29/39.41 [1022]~P44(x10221)+P10(x10221,x10222,x10223)+~P10(x10221,f5(x10221,x10222),x10223)
% 39.29/39.41 [1051]~P30(x10511)+~P7(x10511,x10513,x10512)+P7(x10511,f5(x10511,x10512),f5(x10511,x10513))
% 39.29/39.41 [1053]~P38(x10531)+~P7(x10531,x10533,x10532)+P7(x10531,f5(x10531,x10532),f5(x10531,x10533))
% 39.29/39.41 [1054]~P30(x10541)+~P8(x10541,x10543,x10542)+P8(x10541,f5(x10541,x10542),f5(x10541,x10543))
% 39.29/39.41 [1088]~P30(x10881)+~P7(x10881,x10883,f5(x10881,x10882))+P7(x10881,x10882,f5(x10881,x10883))
% 39.29/39.41 [1090]~P30(x10901)+~P8(x10901,x10903,f5(x10901,x10902))+P8(x10901,x10902,f5(x10901,x10903))
% 39.29/39.41 [1092]~P30(x10921)+~P7(x10921,f5(x10921,x10923),x10922)+P7(x10921,f5(x10921,x10922),x10923)
% 39.29/39.41 [1094]~P30(x10941)+~P8(x10941,f5(x10941,x10943),x10942)+P8(x10941,f5(x10941,x10942),x10943)
% 39.29/39.41 [1106]~P7(a1,x11063,x11061)+~E(f11(a1,x11061,x11063),x11062)+E(x11061,f12(a1,x11062,x11063))
% 39.29/39.41 [1107]~P7(a1,x11072,x11071)+~E(x11071,f12(a1,x11073,x11072))+E(f11(a1,x11071,x11072),x11073)
% 39.29/39.41 [1123]~P30(x11231)+P7(x11231,x11232,x11233)+~P7(x11231,f5(x11231,x11233),f5(x11231,x11232))
% 39.29/39.41 [1124]~P38(x11241)+P7(x11241,x11242,x11243)+~P7(x11241,f5(x11241,x11243),f5(x11241,x11242))
% 39.29/39.41 [1125]~P30(x11251)+P8(x11251,x11252,x11253)+~P8(x11251,f5(x11251,x11253),f5(x11251,x11252))
% 39.29/39.41 [1210]~P30(x12101)+~P7(x12101,x12102,x12103)+P7(x12101,f11(x12101,x12102,x12103),f4(x12101))
% 39.29/39.41 [1211]~P30(x12111)+~P8(x12111,x12112,x12113)+P8(x12111,f11(x12111,x12112,x12113),f4(x12111))
% 39.29/39.41 [1318]~P30(x13181)+P7(x13181,x13182,x13183)+~P7(x13181,f11(x13181,x13182,x13183),f4(x13181))
% 39.29/39.41 [1319]~P30(x13191)+P8(x13191,x13192,x13193)+~P8(x13191,f11(x13191,x13192,x13193),f4(x13191))
% 39.29/39.41 [1520]~P8(a1,x15203,x15201)+~P8(a1,x15203,x15202)+P8(a1,f11(a1,x15201,x15202),f11(a1,x15201,x15203))
% 39.29/39.41 [1521]~P7(a1,x15212,x15211)+~P8(a1,x15211,x15213)+P8(a1,f11(a1,x15211,x15212),f11(a1,x15213,x15212))
% 39.29/39.41 [1527]~P7(a59,x15273,x15271)+P7(a59,f8(a59,x15271,x15272),f8(a59,x15273,x15272))+~P8(a59,x15272,f4(a59))
% 39.29/39.41 [1528]~P7(a1,x15283,x15282)+P7(a1,f8(a1,x15281,x15282),f8(a1,x15281,x15283))+~P8(a1,f4(a1),x15283)
% 39.29/39.41 [1529]~P7(a59,x15291,x15293)+P7(a59,f8(a59,x15291,x15292),f8(a59,x15293,x15292))+~P8(a59,f4(a59),x15292)
% 39.29/39.41 [1608]~P7(a1,x16083,x16082)+~P7(a1,f12(a1,x16081,x16083),x16082)+P7(a1,x16081,f11(a1,x16082,x16083))
% 39.29/39.41 [1609]~P7(a1,x16092,x16093)+~P7(a1,x16091,f11(a1,x16093,x16092))+P7(a1,f12(a1,x16091,x16092),x16093)
% 39.29/39.41 [735]~P56(x7351)+~E(x7352,f4(f62(x7351)))+E(f36(f14(x7351,x7352),x7353),f4(x7351))
% 39.29/39.41 [767]~P56(x7671)+~E(x7672,f4(x7671))+E(f21(x7671,x7672,x7673),f4(f62(x7671)))
% 39.29/39.41 [800]~P56(x8001)+~E(x8003,f4(f62(x8001)))+E(f21(x8001,x8002,x8003),f4(f62(x8001)))
% 39.29/39.41 [851]~P56(x8511)+E(f17(x8511,x8512,x8513),f4(a1))+E(f36(f14(x8511,x8513),x8512),f4(x8511))
% 39.29/39.41 [861]~P25(x8612)+E(x8611,f4(x8612))+~E(f15(x8612,x8611,x8613),f4(f62(x8612)))
% 39.29/39.41 [882]~P25(x8822)+~E(f15(x8822,x8823,x8821),f4(f62(x8822)))+E(x8821,f4(f62(x8822)))
% 39.29/39.41 [893]~P79(x8931,x8932,x8933)+~E(x8932,f4(a59))+P78(f36(x8931,f4(a59)))
% 39.29/39.41 [1259]~P6(x12591)+~P10(x12591,x12593,x12592)+E(f8(x12591,x12592,f5(x12591,x12593)),f5(x12591,f8(x12591,x12592,x12593)))
% 39.29/39.41 [1260]~P6(x12601)+~P10(x12601,x12603,x12602)+E(f8(x12601,f5(x12601,x12602),x12603),f5(x12601,f8(x12601,x12602,x12603)))
% 39.29/39.41 [1277]~E(x12773,f4(a1))+P78(f36(x12771,f8(a1,x12772,x12773)))+~P78(f36(x12771,f4(a1)))
% 39.29/39.41 [1338]~P8(a1,x13381,x13383)+~P8(a1,x13383,x13382)+P8(a1,f12(a1,x13381,f10(a1)),x13382)
% 39.29/39.41 [1352]~P8(a1,x13523,x13522)+P8(a1,x13521,f12(a1,x13522,f10(a1)))+~E(x13521,f12(a1,x13523,f10(a1)))
% 39.29/39.41 [1367]~P5(x13672)+E(x13671,f4(x13672))+E(f8(x13672,f12(x13672,x13673,x13671),x13671),f12(x13672,f8(x13672,x13673,x13671),f10(x13672)))
% 39.29/39.41 [1368]~P5(x13682)+E(x13681,f4(x13682))+E(f8(x13682,f12(x13682,x13681,x13683),x13681),f12(x13682,f8(x13682,x13683,x13681),f10(x13682)))
% 39.29/39.41 [1475]P8(a1,f29(x14751,x14752,x14753),x14751)+E(x14751,f4(a1))+P78(f36(x14753,f8(a1,x14752,x14751)))
% 39.29/39.41 [1498]~E(x14982,f4(a1))+~P78(f36(x14981,f8(a1,x14983,x14982)))+P78(f36(x14981,f4(a1)))
% 39.29/39.41 [1571]P8(a1,x15712,x15711)+E(f12(a1,x15711,f55(x15711,x15712,x15713)),x15712)+P78(f36(x15713,f11(a1,x15712,x15711)))
% 39.29/39.41 [1572]P8(a1,x15722,x15721)+E(f12(a1,x15721,f56(x15721,x15722,x15723)),x15722)+P78(f36(x15723,f11(a1,x15722,x15721)))
% 39.29/39.41 [1579]P8(a1,f29(x15791,x15792,x15793),x15791)+P78(f36(x15793,f8(a1,x15792,x15791)))+~P78(f36(x15793,f4(a1)))
% 39.29/39.41 [1580]E(f12(a1,x15801,f55(x15801,x15802,x15803)),x15802)+P78(f36(x15803,f11(a1,x15802,x15801)))+~P78(f36(x15803,f4(a1)))
% 39.29/39.41 [1581]E(f12(a1,x15811,f56(x15811,x15812,x15813)),x15812)+P78(f36(x15813,f11(a1,x15812,x15811)))+~P78(f36(x15813,f4(a1)))
% 39.29/39.41 [1593]~P7(a1,x15932,x15933)+~P7(a1,x15932,x15931)+E(f11(a1,f11(a1,x15931,x15932),f11(a1,x15933,x15932)),f11(a1,x15931,x15933))
% 39.29/39.41 [1613]~P8(a1,x16132,x16133)+~P78(f36(x16131,f11(a1,x16132,x16133)))+P78(f36(x16131,f4(a1)))
% 39.29/39.41 [1718]E(x17181,f4(a1))+P78(f36(x17182,f31(x17181,x17183,x17182)))+~P78(f36(x17182,f8(a1,x17183,x17181)))
% 39.29/39.41 [1721]E(x17211,f4(a1))+~P78(f36(x17212,f30(x17211,x17213,x17212)))+P78(f36(x17212,f8(a1,x17213,x17211)))
% 39.29/39.41 [1740]P78(f36(x17401,f31(x17402,x17403,x17401)))+~P78(f36(x17401,f8(a1,x17403,x17402)))+P78(f36(x17401,f4(a1)))
% 39.29/39.41 [1748]P8(a1,x17481,x17482)+~P78(f36(x17483,f55(x17482,x17481,x17483)))+P78(f36(x17483,f11(a1,x17481,x17482)))
% 39.29/39.41 [1749]P8(a1,x17491,x17492)+~P78(f36(x17493,f56(x17492,x17491,x17493)))+P78(f36(x17493,f11(a1,x17491,x17492)))
% 39.29/39.41 [1752]~P78(f36(x17521,f55(x17523,x17522,x17521)))+P78(f36(x17521,f11(a1,x17522,x17523)))+~P78(f36(x17521,f4(a1)))
% 39.29/39.41 [1753]~P78(f36(x17531,f56(x17533,x17532,x17531)))+P78(f36(x17531,f11(a1,x17532,x17533)))+~P78(f36(x17531,f4(a1)))
% 39.29/39.41 [1754]~P78(f36(x17541,f30(x17543,x17542,x17541)))+P78(f36(x17541,f8(a1,x17542,x17543)))+~P78(f36(x17541,f4(a1)))
% 39.29/39.41 [1764]E(x17641,f4(a1))+E(f12(a1,f36(f36(f9(a1),x17641),f30(x17641,x17642,x17643)),f29(x17641,x17642,x17643)),x17642)+P78(f36(x17643,f8(a1,x17642,x17641)))
% 39.29/39.41 [1771]E(x17711,f4(a1))+P7(a1,f36(f36(f9(a1),x17711),f31(x17711,x17712,x17713)),x17712)+~P78(f36(x17713,f8(a1,x17712,x17711)))
% 39.29/39.41 [1777]E(f12(a1,f36(f36(f9(a1),x17771),f30(x17771,x17772,x17773)),f29(x17771,x17772,x17773)),x17772)+P78(f36(x17773,f8(a1,x17772,x17771)))+~P78(f36(x17773,f4(a1)))
% 39.29/39.41 [1779]P7(a1,f36(f36(f9(a1),x17792),f31(x17792,x17793,x17791)),x17793)+~P78(f36(x17791,f8(a1,x17793,x17792)))+P78(f36(x17791,f4(a1)))
% 39.29/39.41 [1855]~P56(x18552)+P10(f62(x18552),f36(f36(f23(f62(x18552)),f15(x18552,f5(x18552,x18553),f15(x18552,f10(x18552),f4(f62(x18552))))),f17(x18552,x18553,x18551)),x18551)+E(x18551,f4(f62(x18552)))
% 39.29/39.41 [738]~P1(x7381)+~E(x7383,f4(a1))+E(f36(f36(f23(x7381),x7382),x7383),f10(x7381))
% 39.29/39.41 [749]~P74(x7491)+~E(x7493,f4(x7491))+E(f36(f36(f9(x7491),x7492),x7493),f4(x7491))
% 39.29/39.41 [750]~P74(x7501)+~E(x7502,f4(x7501))+E(f36(f36(f9(x7501),x7502),x7503),f4(x7501))
% 39.29/39.41 [838]~P67(x8382)+E(x8381,f4(x8382))+~E(f36(f36(f23(x8382),x8381),x8383),f4(x8382))
% 39.29/39.41 [855]~P58(x8551)+E(f13(x8551,x8552),x8553)+~E(f36(f36(f9(x8551),x8552),x8553),f10(x8551))
% 39.29/39.41 [897]~P56(x8971)+~E(x8972,f5(x8971,x8973))+E(f36(f36(f9(x8971),x8972),x8972),f36(f36(f9(x8971),x8973),x8973))
% 39.29/39.41 [949]E(x9491,x9492)+E(x9493,f4(a1))+~E(f36(f36(f9(a1),x9493),x9491),f36(f36(f9(a1),x9493),x9492))
% 39.29/39.41 [950]E(x9501,x9502)+E(x9503,f4(a61))+~E(f36(f36(f9(a61),x9503),x9501),f36(f36(f9(a61),x9503),x9502))
% 39.29/39.41 [951]E(x9511,x9512)+E(x9513,f4(a1))+~E(f36(f36(f9(a1),x9511),x9513),f36(f36(f9(a1),x9512),x9513))
% 39.29/39.41 [952]E(x9521,x9522)+E(x9523,f4(a61))+~E(f36(f36(f9(a61),x9521),x9523),f36(f36(f9(a61),x9522),x9523))
% 39.29/39.41 [1148]E(x11481,x11482)+~P8(a1,f4(a1),x11483)+~E(f36(f36(f9(a1),x11483),x11481),f36(f36(f9(a1),x11483),x11482))
% 39.29/39.41 [1217]~P53(x12171)+~P7(x12171,f4(x12171),x12172)+P7(x12171,f4(x12171),f36(f36(f23(x12171),x12172),x12173))
% 39.29/39.41 [1218]~P53(x12181)+~P7(x12181,f10(x12181),x12182)+P7(x12181,f10(x12181),f36(f36(f23(x12181),x12182),x12183))
% 39.29/39.41 [1219]~P53(x12191)+~P8(x12191,f4(x12191),x12192)+P8(x12191,f4(x12191),f36(f36(f23(x12191),x12192),x12193))
% 39.29/39.41 [1301]~E(x13012,f8(a1,x13013,x13011))+~P8(a1,f4(a1),x13011)+P7(a1,f36(f36(f9(a1),x13011),x13012),x13013)
% 39.29/39.41 [1398]~P5(x13981)+~P10(x13981,x13983,x13982)+E(f36(f36(f9(x13981),f8(x13981,x13982,x13983)),x13983),x13982)
% 39.29/39.41 [1482]~P7(a61,x14822,x14823)+~P8(a61,f4(a61),x14821)+P7(a61,f36(f36(f9(a61),x14821),x14822),f36(f36(f9(a61),x14821),x14823))
% 39.29/39.41 [1483]~P7(a61,x14831,x14833)+~P8(a61,f4(a61),x14832)+P7(a61,f36(f36(f9(a61),x14831),x14832),f36(f36(f9(a61),x14833),x14832))
% 39.29/39.41 [1487]~P8(a1,x14871,x14873)+~P8(a1,f4(a1),x14872)+P8(a1,f36(f36(f9(a1),x14871),x14872),f36(f36(f9(a1),x14873),x14872))
% 39.29/39.41 [1488]~P8(a1,x14882,x14883)+~P8(a1,f4(a1),x14881)+P8(a1,f36(f36(f9(a1),x14881),x14882),f36(f36(f9(a1),x14881),x14883))
% 39.29/39.41 [1489]~P8(a59,x14892,x14893)+~P8(a59,f4(a59),x14891)+P8(a59,f36(f36(f9(a59),x14891),x14892),f36(f36(f9(a59),x14891),x14893))
% 39.29/39.41 [1490]~P8(a61,x14901,x14903)+~P8(a61,f4(a61),x14902)+P8(a61,f36(f36(f9(a61),x14901),x14902),f36(f36(f9(a61),x14903),x14902))
% 39.29/39.41 [1491]~P8(a61,x14912,x14913)+~P8(a61,f4(a61),x14911)+P8(a61,f36(f36(f9(a61),x14911),x14912),f36(f36(f9(a61),x14911),x14913))
% 39.29/39.41 [1607]~P53(x16071)+~P8(x16071,f10(x16071),x16072)+P8(x16071,f10(x16071),f36(f36(f23(x16071),x16072),f12(a1,x16073,f10(a1))))
% 39.29/39.41 [1625]P7(a1,x16251,x16252)+~P8(a1,f4(a1),x16253)+~P7(a1,f36(f36(f9(a1),x16253),x16251),f36(f36(f9(a1),x16253),x16252))
% 39.29/39.41 [1626]P7(a1,x16261,x16262)+~P8(a1,f4(a1),x16263)+~P7(a1,f36(f36(f9(a1),x16261),x16263),f36(f36(f9(a1),x16262),x16263))
% 39.29/39.41 [1627]P7(a61,x16271,x16272)+~P8(a61,f4(a61),x16273)+~P7(a61,f36(f36(f9(a61),x16273),x16271),f36(f36(f9(a61),x16273),x16272))
% 39.29/39.41 [1628]P7(a61,x16281,x16282)+~P8(a61,f4(a61),x16283)+~P7(a61,f36(f36(f9(a61),x16281),x16283),f36(f36(f9(a61),x16282),x16283))
% 39.29/39.41 [1629]P8(a1,x16291,x16292)+~P8(a1,f4(a1),x16293)+~P8(a1,f36(f36(f23(a1),x16293),x16291),f36(f36(f23(a1),x16293),x16292))
% 39.29/39.41 [1631]P8(a61,x16311,x16312)+~P8(a61,f4(a61),x16313)+~P8(a61,f36(f36(f9(a61),x16311),x16313),f36(f36(f9(a61),x16312),x16313))
% 39.29/39.41 [1665]~E(x16653,f8(a1,x16651,x16652))+~P8(a1,f4(a1),x16652)+P8(a1,x16651,f36(f36(f9(a1),x16652),f12(a1,x16653,f10(a1))))
% 39.29/39.41 [1787]~P56(x17871)+~E(x17872,f5(x17871,x17873))+E(f36(f36(f23(x17871),x17872),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1))),f36(f36(f23(x17871),x17873),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1))))
% 39.29/39.41 [1822]E(x18221,f4(a1))+P8(a1,x18222,f36(f36(f9(a1),x18221),f12(a1,f31(x18221,x18222,x18223),f10(a1))))+~P78(f36(x18223,f8(a1,x18222,x18221)))
% 39.29/39.41 [1826]P8(a1,x18262,f36(f36(f9(a1),x18263),f12(a1,f31(x18263,x18262,x18261),f10(a1))))+~P78(f36(x18261,f8(a1,x18262,x18263)))+P78(f36(x18261,f4(a1)))
% 39.29/39.41 [1870]~P56(x18702)+E(x18701,f4(f62(x18702)))+~P10(f62(x18702),f36(f36(f23(f62(x18702)),f15(x18702,f5(x18702,x18703),f15(x18702,f10(x18702),f4(f62(x18702))))),f12(a1,f17(x18702,x18703,x18701),f10(a1))),x18701)
% 39.29/39.41 [975]~P5(x9752)+E(x9751,f4(x9752))+E(f8(x9752,f36(f36(f9(x9752),x9753),x9751),x9751),x9753)
% 39.29/39.41 [976]~P5(x9762)+E(x9761,f4(x9762))+E(f8(x9762,f36(f36(f9(x9762),x9761),x9763),x9761),x9763)
% 39.29/39.41 [1131]~P58(x11312)+E(x11311,f4(x11312))+E(f36(f36(f23(x11312),f13(x11312,x11311)),x11313),f13(x11312,f36(f36(f23(x11312),x11311),x11313)))
% 39.29/39.41 [1517]~P60(x15172)+E(x15171,f4(x15172))+~E(f12(x15172,f36(f36(f9(x15172),x15173),x15173),f36(f36(f9(x15172),x15171),x15171)),f4(x15172))
% 39.29/39.41 [1518]~P60(x15182)+E(x15181,f4(x15182))+~E(f12(x15182,f36(f36(f9(x15182),x15181),x15181),f36(f36(f9(x15182),x15183),x15183)),f4(x15182))
% 39.29/39.41 [1534]~P1(x15342)+E(x15341,f4(a1))+E(f36(f36(f9(x15342),x15343),f36(f36(f23(x15342),x15343),f11(a1,x15341,f10(a1)))),f36(f36(f23(x15342),x15343),x15341))
% 39.29/39.41 [1590]~P53(x15901)+~P8(x15901,f10(x15901),x15902)+P8(x15901,f10(x15901),f36(f36(f9(x15901),x15902),f36(f36(f23(x15901),x15902),x15903)))
% 39.29/39.41 [1696]~P53(x16961)+~P8(x16961,f10(x16961),x16962)+P8(x16961,f36(f36(f23(x16961),x16962),x16963),f36(f36(f9(x16961),x16962),f36(f36(f23(x16961),x16962),x16963)))
% 39.29/39.41 [1706]~P60(x17062)+E(x17061,f4(x17062))+P8(x17062,f4(x17062),f12(x17062,f36(f36(f9(x17062),x17063),x17063),f36(f36(f9(x17062),x17061),x17061)))
% 39.29/39.41 [1707]~P60(x17072)+E(x17071,f4(x17072))+P8(x17072,f4(x17072),f12(x17072,f36(f36(f9(x17072),x17071),x17071),f36(f36(f9(x17072),x17073),x17073)))
% 39.29/39.41 [1799]~P60(x17992)+E(x17991,f4(x17992))+~P7(x17992,f12(x17992,f36(f36(f9(x17992),x17993),x17993),f36(f36(f9(x17992),x17991),x17991)),f4(x17992))
% 39.29/39.41 [1800]~P60(x18002)+E(x18001,f4(x18002))+~P7(x18002,f12(x18002,f36(f36(f9(x18002),x18001),x18001),f36(f36(f9(x18002),x18003),x18003)),f4(x18002))
% 39.29/39.41 [1792]~P2(x17921)+~P8(a1,f4(a1),x17923)+E(f36(f36(f9(x17921),f36(f36(f23(x17921),x17922),f11(a1,x17923,f10(a1)))),x17922),f36(f36(f23(x17921),x17922),x17923))
% 39.29/39.41 [997]~P17(x9973)+E(x9971,x9972)+~E(f12(x9973,x9974,x9971),f12(x9973,x9974,x9972))
% 39.29/39.41 [998]~P18(x9983)+E(x9981,x9982)+~E(f12(x9983,x9984,x9981),f12(x9983,x9984,x9982))
% 39.29/39.41 [1000]~P17(x10003)+E(x10001,x10002)+~E(f12(x10003,x10001,x10004),f12(x10003,x10002,x10004))
% 39.29/39.41 [1095]~P40(x10952)+~P8(f66(x10951,x10952),x10953,x10954)+P7(f66(x10951,x10952),x10953,x10954)
% 39.29/39.41 [1212]~P40(x12121)+~P8(f66(x12122,x12121),x12124,x12123)+~P7(f66(x12122,x12121),x12123,x12124)
% 39.29/39.41 [1227]~P42(x12271)+~P10(f62(x12271),x12272,x12274)+P10(f62(x12271),x12272,f21(x12271,x12273,x12274))
% 39.29/39.41 [1278]~P8(a1,x12783,x12784)+P8(a1,x12781,x12782)+~E(f12(a1,x12783,x12782),f12(a1,x12781,x12784))
% 39.29/39.41 [1344]~P42(x13441)+~P10(f62(x13441),f21(x13441,x13444,x13442),x13443)+P10(f62(x13441),x13442,x13443)
% 39.29/39.41 [1399]~P27(x13991)+~P7(x13991,x13993,x13994)+P7(x13991,f12(x13991,x13992,x13993),f12(x13991,x13992,x13994))
% 39.29/39.41 [1400]~P28(x14001)+~P7(x14001,x14003,x14004)+P7(x14001,f12(x14001,x14002,x14003),f12(x14001,x14002,x14004))
% 39.29/39.41 [1401]~P27(x14011)+~P7(x14011,x14012,x14014)+P7(x14011,f12(x14011,x14012,x14013),f12(x14011,x14014,x14013))
% 39.29/39.41 [1402]~P28(x14021)+~P7(x14021,x14022,x14024)+P7(x14021,f12(x14021,x14022,x14023),f12(x14021,x14024,x14023))
% 39.29/39.41 [1403]~P27(x14031)+~P8(x14031,x14033,x14034)+P8(x14031,f12(x14031,x14032,x14033),f12(x14031,x14032,x14034))
% 39.29/39.41 [1404]~P31(x14041)+~P8(x14041,x14043,x14044)+P8(x14041,f12(x14041,x14042,x14043),f12(x14041,x14042,x14044))
% 39.29/39.41 [1405]~P27(x14051)+~P8(x14051,x14052,x14054)+P8(x14051,f12(x14051,x14052,x14053),f12(x14051,x14054,x14053))
% 39.29/39.41 [1406]~P31(x14061)+~P8(x14061,x14062,x14064)+P8(x14061,f12(x14061,x14062,x14063),f12(x14061,x14064,x14063))
% 39.29/39.41 [1519]~P7(a1,x15192,x15194)+~P7(a1,x15191,x15193)+P7(a1,f12(a1,x15191,x15192),f12(a1,x15193,x15194))
% 39.29/39.41 [1522]~P8(a1,x15222,x15224)+~P8(a1,x15221,x15223)+P8(a1,f12(a1,x15221,x15222),f12(a1,x15223,x15224))
% 39.29/39.41 [1523]~P7(a59,x15232,x15234)+~P8(a59,x15231,x15233)+P8(a59,f12(a59,x15231,x15232),f12(a59,x15233,x15234))
% 39.29/39.41 [1599]~P27(x15991)+P7(x15991,x15992,x15993)+~P7(x15991,f12(x15991,x15994,x15992),f12(x15991,x15994,x15993))
% 39.29/39.41 [1601]~P27(x16011)+P7(x16011,x16012,x16013)+~P7(x16011,f12(x16011,x16012,x16014),f12(x16011,x16013,x16014))
% 39.29/39.41 [1603]~P27(x16031)+P8(x16031,x16032,x16033)+~P8(x16031,f12(x16031,x16034,x16032),f12(x16031,x16034,x16033))
% 39.29/39.41 [1605]~P27(x16051)+P8(x16051,x16052,x16053)+~P8(x16051,f12(x16051,x16052,x16054),f12(x16051,x16053,x16054))
% 39.29/39.41 [1025]~P50(x10252)+~E(f15(x10252,x10253,x10251),f21(x10252,x10254,x10251))+E(x10251,f4(f62(x10252)))
% 39.29/39.41 [1587]~P50(x15872)+~E(f12(f62(x15872),f21(x15872,x15873,x15871),f15(x15872,x15874,x15871)),f4(f62(x15872)))+E(x15871,f4(f62(x15872)))
% 39.29/39.41 [1611]~E(x16113,f12(a1,x16114,x16112))+P78(f36(x16111,x16112))+~P78(f36(x16111,f11(a1,x16113,x16114)))
% 39.29/39.41 [1866]~P40(x18662)+P7(f66(x18661,x18662),x18663,x18664)+~P7(x18662,f36(x18663,f58(x18664,x18663,x18661,x18662)),f36(x18664,f58(x18664,x18663,x18661,x18662)))
% 39.29/39.41 [928]~P59(x9281)+P10(x9281,x9282,x9283)+~E(x9283,f36(f36(f9(x9281),x9282),x9284))
% 39.29/39.41 [1198]~P42(x11981)+~P10(x11981,x11982,x11984)+P10(x11981,x11982,f36(f36(f9(x11981),x11983),x11984))
% 39.29/39.41 [1199]~P42(x11991)+~P10(x11991,x11992,x11993)+P10(x11991,x11992,f36(f36(f9(x11991),x11993),x11994))
% 39.29/39.41 [1230]~P56(x12301)+~E(x12303,f4(x12301))+P10(x12301,f36(f36(f9(x12301),x12302),x12303),f36(f36(f9(x12301),x12304),x12303))
% 39.29/39.41 [1231]~P56(x12311)+~E(x12312,f4(x12311))+P10(x12311,f36(f36(f9(x12311),x12312),x12313),f36(f36(f9(x12311),x12312),x12314))
% 39.29/39.41 [1284]~P42(x12841)+P10(x12841,x12842,x12843)+~P10(x12841,f36(f36(f9(x12841),x12844),x12842),x12843)
% 39.29/39.41 [1285]~P42(x12851)+P10(x12851,x12852,x12853)+~P10(x12851,f36(f36(f9(x12851),x12852),x12854),x12853)
% 39.29/39.41 [1385]~P42(x13851)+~P7(a1,x13853,x13854)+P10(x13851,f36(f36(f23(x13851),x13852),x13853),f36(f36(f23(x13851),x13852),x13854))
% 39.29/39.41 [1391]~P42(x13911)+~P10(x13911,x13912,x13914)+P10(x13911,f36(f36(f23(x13911),x13912),x13913),f36(f36(f23(x13911),x13914),x13913))
% 39.29/39.41 [1392]~P56(x13921)+~P10(x13921,x13923,x13924)+P10(x13921,f36(f36(f9(x13921),x13922),x13923),f36(f36(f9(x13921),x13922),x13924))
% 39.29/39.41 [1393]~P56(x13931)+~P10(x13931,x13932,x13934)+P10(x13931,f36(f36(f9(x13931),x13932),x13933),f36(f36(f9(x13931),x13934),x13933))
% 39.29/39.41 [1445]~P11(x14452)+E(x14451,f4(x14452))+E(f21(x14452,f13(x14452,x14451),f8(f62(x14452),x14453,x14454)),f8(f62(x14452),x14453,f21(x14452,x14451,x14454)))
% 39.29/39.41 [1474]~P7(a1,x14742,x14744)+~P7(a1,x14741,x14743)+P7(a1,f36(f36(f9(a1),x14741),x14742),f36(f36(f9(a1),x14743),x14744))
% 39.29/39.41 [1746]~P72(x17461)+~P36(x17461)+E(f11(x17461,f36(f36(f9(x17461),x17462),f3(x17461,x17463)),f36(f36(f9(x17461),x17464),f3(x17461,x17463))),f36(f36(f9(x17461),f11(x17461,x17462,x17464)),f3(x17461,x17463)))
% 39.29/39.41 [1747]~P75(x17471)+~P36(x17471)+E(f12(x17471,f36(f36(f9(x17471),x17472),f3(x17471,x17473)),f36(f36(f9(x17471),x17474),f3(x17471,x17473))),f36(f36(f9(x17471),f12(x17471,x17472,x17474)),f3(x17471,x17473)))
% 39.29/39.41 [1239]~P5(x12391)+~E(x12392,f4(x12391))+E(f8(x12391,f36(f36(f9(x12391),x12392),x12393),f36(f36(f9(x12391),x12392),x12394)),f4(x12391))
% 39.29/39.41 [1324]~P5(x13242)+E(x13241,f4(x13242))+E(f8(x13242,f36(f36(f9(x13242),x13243),x13241),f36(f36(f9(x13242),x13244),x13241)),f8(x13242,x13243,x13244))
% 39.29/39.41 [1326]~P5(x13262)+E(x13261,f4(x13262))+E(f8(x13262,f36(f36(f9(x13262),x13261),x13263),f36(f36(f9(x13262),x13261),x13264)),f8(x13262,x13263,x13264))
% 39.29/39.41 [1636]~P5(x16361)+~P10(x16361,x16364,x16362)+E(f8(x16361,f36(f36(f9(x16361),x16362),x16363),x16364),f36(f36(f9(x16361),f8(x16361,x16362,x16364)),x16363))
% 39.29/39.41 [1717]~P5(x17171)+~P10(x17171,x17174,x17172)+E(f8(x17171,f36(f36(f23(x17171),x17172),x17173),f36(f36(f23(x17171),x17174),x17173)),f36(f36(f23(x17171),f8(x17171,x17172,x17174)),x17173))
% 39.29/39.41 [1761]~P72(x17611)+~P36(x17611)+E(f11(x17611,f36(f36(f9(x17611),f3(x17611,x17612)),x17613),f36(f36(f9(x17611),f3(x17611,x17612)),x17614)),f36(f36(f9(x17611),f3(x17611,x17612)),f11(x17611,x17613,x17614)))
% 39.29/39.41 [1762]~P75(x17621)+~P36(x17621)+E(f12(x17621,f36(f36(f9(x17621),f3(x17621,x17622)),x17623),f36(f36(f9(x17621),f3(x17621,x17622)),x17624)),f36(f36(f9(x17621),f3(x17621,x17622)),f12(x17621,x17623,x17624)))
% 39.29/39.41 [1820]~P2(x18201)+~P7(a1,x18204,x18203)+E(f36(f36(f9(x18201),f36(f36(f23(x18201),x18202),f11(a1,x18203,x18204))),x18202),f36(f36(f23(x18201),x18202),f11(a1,f12(a1,x18203,f10(a1)),x18204)))
% 39.29/39.41 [1667]~P5(x16672)+E(x16671,f4(x16672))+E(f8(x16672,f12(x16672,x16673,f36(f36(f9(x16672),x16674),x16671)),x16671),f12(x16672,x16674,f8(x16672,x16673,x16671)))
% 39.29/39.41 [1668]~P5(x16682)+E(x16681,f4(x16682))+E(f8(x16682,f12(x16682,x16683,f36(f36(f9(x16682),x16681),x16684)),x16681),f12(x16682,x16684,f8(x16682,x16683,x16681)))
% 39.29/39.41 [1001]~P25(x10013)+E(x10011,x10012)+~E(f15(x10013,x10014,x10011),f15(x10013,x10015,x10012))
% 39.29/39.41 [1002]~P25(x10023)+E(x10021,x10022)+~E(f15(x10023,x10021,x10024),f15(x10023,x10022,x10025))
% 39.29/39.41 [1167]~P40(x11671)+P7(x11671,f36(x11672,x11673),f36(x11674,x11673))+~P7(f66(x11675,x11671),x11672,x11674)
% 39.29/39.41 [1467]~P50(x14672)+~E(f12(f62(x14672),x14673,f21(x14672,x14674,x14675)),f15(x14672,x14671,x14675))+E(x14671,f36(f14(x14672,x14673),x14674))
% 39.29/39.41 [1497]~P50(x14972)+E(x14971,f22(x14972,x14973,x14974))+~E(f12(f62(x14972),x14973,f21(x14972,x14974,x14971)),f15(x14972,x14975,x14971))
% 39.29/39.41 [1646]~E(x16462,x16464)+~P77(x16461)+E(f12(x16461,f36(f36(f9(x16461),x16462),x16463),f36(f36(f9(x16461),x16464),x16465)),f12(x16461,f36(f36(f9(x16461),x16462),x16465),f36(f36(f9(x16461),x16464),x16463)))
% 39.29/39.41 [1818]~P7(a1,x18183,x18182)+E(x18181,f12(a1,f36(f36(f9(a1),f11(a1,x18182,x18183)),x18184),x18185))+~E(f12(a1,f36(f36(f9(a1),x18183),x18184),x18181),f12(a1,f36(f36(f9(a1),x18182),x18184),x18185))
% 39.29/39.41 [1819]~P7(a1,x18192,x18191)+E(f12(a1,f36(f36(f9(a1),f11(a1,x18191,x18192)),x18193),x18194),x18195)+~E(f12(a1,f36(f36(f9(a1),x18191),x18193),x18194),f12(a1,f36(f36(f9(a1),x18192),x18193),x18195))
% 39.29/39.41 [1829]~P7(a1,x18294,x18291)+~E(x18295,f12(a1,f36(f36(f9(a1),f11(a1,x18291,x18294)),x18292),x18293))+E(f12(a1,f36(f36(f9(a1),x18291),x18292),x18293),f12(a1,f36(f36(f9(a1),x18294),x18292),x18295))
% 39.29/39.41 [1830]~P7(a1,x18304,x18301)+~E(f12(a1,f36(f36(f9(a1),f11(a1,x18301,x18304)),x18302),x18303),x18305)+E(f12(a1,f36(f36(f9(a1),x18301),x18302),x18303),f12(a1,f36(f36(f9(a1),x18304),x18302),x18305))
% 39.29/39.41 [1847]~P7(a1,x18473,x18472)+P7(a1,x18471,f12(a1,f36(f36(f9(a1),f11(a1,x18472,x18473)),x18474),x18475))+~P7(a1,f12(a1,f36(f36(f9(a1),x18473),x18474),x18471),f12(a1,f36(f36(f9(a1),x18472),x18474),x18475))
% 39.29/39.41 [1848]~P7(a1,x18483,x18482)+P8(a1,x18481,f12(a1,f36(f36(f9(a1),f11(a1,x18482,x18483)),x18484),x18485))+~P8(a1,f12(a1,f36(f36(f9(a1),x18483),x18484),x18481),f12(a1,f36(f36(f9(a1),x18482),x18484),x18485))
% 39.29/39.41 [1849]~P7(a1,x18492,x18491)+P7(a1,f12(a1,f36(f36(f9(a1),f11(a1,x18491,x18492)),x18493),x18494),x18495)+~P7(a1,f12(a1,f36(f36(f9(a1),x18491),x18493),x18494),f12(a1,f36(f36(f9(a1),x18492),x18493),x18495))
% 39.29/39.41 [1850]~P7(a1,x18502,x18501)+P8(a1,f12(a1,f36(f36(f9(a1),f11(a1,x18501,x18502)),x18503),x18504),x18505)+~P8(a1,f12(a1,f36(f36(f9(a1),x18501),x18503),x18504),f12(a1,f36(f36(f9(a1),x18502),x18503),x18505))
% 39.29/39.41 [1856]~P7(a1,x18561,x18564)+~P7(a1,x18563,f12(a1,f36(f36(f9(a1),f11(a1,x18564,x18561)),x18562),x18565))+P7(a1,f12(a1,f36(f36(f9(a1),x18561),x18562),x18563),f12(a1,f36(f36(f9(a1),x18564),x18562),x18565))
% 39.29/39.41 [1857]~P7(a1,x18571,x18574)+~P8(a1,x18573,f12(a1,f36(f36(f9(a1),f11(a1,x18574,x18571)),x18572),x18575))+P8(a1,f12(a1,f36(f36(f9(a1),x18571),x18572),x18573),f12(a1,f36(f36(f9(a1),x18574),x18572),x18575))
% 39.29/39.41 [1858]~P7(a1,x18584,x18581)+~P7(a1,f12(a1,f36(f36(f9(a1),f11(a1,x18581,x18584)),x18582),x18583),x18585)+P7(a1,f12(a1,f36(f36(f9(a1),x18581),x18582),x18583),f12(a1,f36(f36(f9(a1),x18584),x18582),x18585))
% 39.29/39.41 [1859]~P7(a1,x18594,x18591)+~P8(a1,f12(a1,f36(f36(f9(a1),f11(a1,x18591,x18594)),x18592),x18593),x18595)+P8(a1,f12(a1,f36(f36(f9(a1),x18591),x18592),x18593),f12(a1,f36(f36(f9(a1),x18594),x18592),x18595))
% 39.29/39.41 [1816]~P72(x18162)+~E(f12(x18162,f36(f36(f9(x18162),x18164),x18165),x18161),f12(x18162,f36(f36(f9(x18162),x18163),x18165),x18166))+E(x18161,f12(x18162,f36(f36(f9(x18162),f11(x18162,x18163,x18164)),x18165),x18166))
% 39.29/39.41 [1817]~P72(x18171)+~E(f12(x18171,f36(f36(f9(x18171),x18172),x18174),x18175),f12(x18171,f36(f36(f9(x18171),x18173),x18174),x18176))+E(f12(x18171,f36(f36(f9(x18171),f11(x18171,x18172,x18173)),x18174),x18175),x18176)
% 39.29/39.41 [1827]~P72(x18271)+~E(x18276,f12(x18271,f36(f36(f9(x18271),f11(x18271,x18272,x18275)),x18273),x18274))+E(f12(x18271,f36(f36(f9(x18271),x18272),x18273),x18274),f12(x18271,f36(f36(f9(x18271),x18275),x18273),x18276))
% 39.29/39.41 [1828]~P72(x18281)+~E(f12(x18281,f36(f36(f9(x18281),f11(x18281,x18282,x18285)),x18283),x18284),x18286)+E(f12(x18281,f36(f36(f9(x18281),x18282),x18283),x18284),f12(x18281,f36(f36(f9(x18281),x18285),x18283),x18286))
% 39.29/39.41 [1851]~P69(x18511)+~P7(x18511,f12(x18511,f36(f36(f9(x18511),x18514),x18515),x18512),f12(x18511,f36(f36(f9(x18511),x18513),x18515),x18516))+P7(x18511,x18512,f12(x18511,f36(f36(f9(x18511),f11(x18511,x18513,x18514)),x18515),x18516))
% 39.29/39.41 [1852]~P69(x18521)+~P8(x18521,f12(x18521,f36(f36(f9(x18521),x18524),x18525),x18522),f12(x18521,f36(f36(f9(x18521),x18523),x18525),x18526))+P8(x18521,x18522,f12(x18521,f36(f36(f9(x18521),f11(x18521,x18523,x18524)),x18525),x18526))
% 39.29/39.41 [1853]~P69(x18531)+~P7(x18531,f12(x18531,f36(f36(f9(x18531),x18532),x18534),x18535),f12(x18531,f36(f36(f9(x18531),x18533),x18534),x18536))+P7(x18531,f12(x18531,f36(f36(f9(x18531),f11(x18531,x18532,x18533)),x18534),x18535),x18536)
% 39.29/39.41 [1854]~P69(x18541)+~P8(x18541,f12(x18541,f36(f36(f9(x18541),x18542),x18544),x18545),f12(x18541,f36(f36(f9(x18541),x18543),x18544),x18546))+P8(x18541,f12(x18541,f36(f36(f9(x18541),f11(x18541,x18542,x18543)),x18544),x18545),x18546)
% 39.29/39.41 [1860]~P69(x18601)+~P7(x18601,x18604,f12(x18601,f36(f36(f9(x18601),f11(x18601,x18605,x18602)),x18603),x18606))+P7(x18601,f12(x18601,f36(f36(f9(x18601),x18602),x18603),x18604),f12(x18601,f36(f36(f9(x18601),x18605),x18603),x18606))
% 39.29/39.41 [1861]~P69(x18611)+~P8(x18611,x18614,f12(x18611,f36(f36(f9(x18611),f11(x18611,x18615,x18612)),x18613),x18616))+P8(x18611,f12(x18611,f36(f36(f9(x18611),x18612),x18613),x18614),f12(x18611,f36(f36(f9(x18611),x18615),x18613),x18616))
% 39.29/39.41 [1862]~P69(x18621)+~P7(x18621,f12(x18621,f36(f36(f9(x18621),f11(x18621,x18622,x18625)),x18623),x18624),x18626)+P7(x18621,f12(x18621,f36(f36(f9(x18621),x18622),x18623),x18624),f12(x18621,f36(f36(f9(x18621),x18625),x18623),x18626))
% 39.29/39.41 [1863]~P69(x18631)+~P8(x18631,f12(x18631,f36(f36(f9(x18631),f11(x18631,x18632,x18635)),x18633),x18634),x18636)+P8(x18631,f12(x18631,f36(f36(f9(x18631),x18632),x18633),x18634),f12(x18631,f36(f36(f9(x18631),x18635),x18633),x18636))
% 39.29/39.41 [1047]P8(a59,x10471,x10472)+P8(a59,x10472,x10471)+E(x10471,f4(a59))+~E(f8(a59,x10472,x10471),f4(a59))
% 39.29/39.41 [1055]P8(a59,x10552,x10551)+E(x10551,f4(a59))+P7(a59,x10552,f4(a59))+~E(f8(a59,x10552,x10551),f4(a59))
% 39.29/39.41 [1056]P8(a59,x10561,x10562)+E(x10561,f4(a59))+P7(a59,f4(a59),x10562)+~E(f8(a59,x10562,x10561),f4(a59))
% 39.29/39.41 [1078]~P14(x10782)+~P8(x10782,f13(x10782,x10781),f4(x10782))+P8(x10782,x10781,f4(x10782))+E(x10781,f4(x10782))
% 39.29/39.41 [1079]~P14(x10792)+~P8(x10792,f4(x10792),f13(x10792,x10791))+P8(x10792,f4(x10792),x10791)+E(x10791,f4(x10792))
% 39.29/39.41 [1215]~P12(x12151)+P7(x12151,f10(x12151),x12152)+~P7(x12151,f13(x12151,x12152),f10(x12151))+P7(x12151,x12152,f4(x12151))
% 39.29/39.41 [1216]~P12(x12161)+P8(x12161,f10(x12161),x12162)+~P8(x12161,f13(x12161,x12162),f10(x12161))+P7(x12161,x12162,f4(x12161))
% 39.29/39.41 [1245]~P12(x12451)+~P7(x12451,x12452,f10(x12451))+~P8(x12451,f4(x12451),x12452)+P7(x12451,f10(x12451),f13(x12451,x12452))
% 39.29/39.41 [1246]~P14(x12461)+~P7(x12461,x12462,f10(x12461))+~P8(x12461,f4(x12461),x12462)+P7(x12461,f10(x12461),f13(x12461,x12462))
% 39.29/39.41 [1247]~P12(x12471)+~P8(x12471,x12472,f10(x12471))+~P8(x12471,f4(x12471),x12472)+P8(x12471,f10(x12471),f13(x12471,x12472))
% 39.29/39.41 [1248]~P14(x12481)+~P8(x12481,x12482,f10(x12481))+~P8(x12481,f4(x12481),x12482)+P8(x12481,f10(x12481),f13(x12481,x12482))
% 39.29/39.41 [778]~P1(x7782)+~P51(x7782)+E(x7781,f4(a1))+E(f36(f36(f23(x7782),f4(x7782)),x7781),f4(x7782))
% 39.29/39.41 [887]~P67(x8872)+E(x8871,f10(x8872))+E(x8871,f5(x8872,f10(x8872)))+~E(f36(f36(f9(x8872),x8871),x8871),f10(x8872))
% 39.29/39.41 [934]~E(x9342,f10(a59))+~E(x9341,f10(a59))+~P8(a59,f4(a59),x9341)+E(f36(f36(f9(a59),x9341),x9342),f10(a59))
% 39.29/39.41 [875]P8(x8753,x8751,x8752)+~P54(x8753)+E(x8751,x8752)+P8(x8753,x8752,x8751)
% 39.29/39.41 [881]P8(x8813,x8811,x8812)+~P34(x8813)+E(x8811,x8812)+P8(x8813,x8812,x8811)
% 39.29/39.41 [883]P8(x8831,x8832,x8833)+~E(x8832,x8833)+~P34(x8831)+P7(x8831,x8832,x8833)
% 39.29/39.41 [937]~P41(x9373)+~P7(x9373,x9372,x9371)+E(x9371,x9372)+P8(x9373,x9372,x9371)
% 39.29/39.41 [939]~P34(x9393)+~P7(x9393,x9391,x9392)+E(x9391,x9392)+P8(x9393,x9391,x9392)
% 39.29/39.41 [945]~P41(x9453)+~P7(x9453,x9451,x9452)+E(x9451,x9452)+P8(x9453,x9451,x9452)
% 39.29/39.41 [1007]~P7(x10073,x10072,x10071)+~P7(x10073,x10071,x10072)+E(x10071,x10072)+~P41(x10073)
% 39.29/39.41 [1060]P8(x10601,x10603,x10602)+~P33(x10601)+~P7(x10601,x10603,x10602)+P7(x10601,x10602,x10603)
% 39.29/39.41 [703]~P35(x7033)+~P37(x7033)+E(x7031,x7032)+~E(f3(x7033,x7031),f3(x7033,x7032))
% 39.29/39.41 [704]~P37(x7043)+~P56(x7043)+E(x7041,x7042)+~E(f14(x7043,x7041),f14(x7043,x7042))
% 39.29/39.41 [1074]~P54(x10741)+~P35(x10741)+~P7(a59,x10742,x10743)+P7(x10741,f3(x10741,x10742),f3(x10741,x10743))
% 39.29/39.41 [1075]~P54(x10751)+~P35(x10751)+~P8(a59,x10752,x10753)+P8(x10751,f3(x10751,x10752),f3(x10751,x10753))
% 39.29/39.41 [1146]~P35(x11463)+~P54(x11463)+~P7(x11463,f3(x11463,x11461),f3(x11463,x11462))+P7(a59,x11461,x11462)
% 39.29/39.41 [1147]~P35(x11473)+~P54(x11473)+~P8(x11473,f3(x11473,x11471),f3(x11473,x11472))+P8(a59,x11471,x11472)
% 39.29/39.41 [1232]P79(x12322,x12321,x12323)+P8(a59,f48(x12323,x12321,x12322),x12321)+E(x12321,f4(a59))+P8(a59,x12321,f4(a59))
% 39.29/39.41 [1233]P79(x12332,x12331,x12333)+P8(a59,x12331,f51(x12333,x12331,x12332))+E(x12331,f4(a59))+P8(a59,f4(a59),x12331)
% 39.29/39.41 [1237]P79(x12372,x12371,x12373)+E(x12371,f4(a59))+P8(a59,x12371,f4(a59))+P7(a59,f4(a59),f48(x12373,x12371,x12372))
% 39.29/39.41 [1238]P79(x12382,x12381,x12383)+E(x12381,f4(a59))+P8(a59,f4(a59),x12381)+P7(a59,f51(x12383,x12381,x12382),f4(a59))
% 39.29/39.41 [1262]~P14(x12621)+~P7(x12621,x12623,x12622)+~P8(x12621,x12622,f4(x12621))+P7(x12621,f13(x12621,x12622),f13(x12621,x12623))
% 39.29/39.41 [1263]~P14(x12631)+~P8(x12631,x12633,x12632)+~P8(x12631,x12632,f4(x12631))+P8(x12631,f13(x12631,x12632),f13(x12631,x12633))
% 39.29/39.41 [1264]~P14(x12641)+~P7(x12641,x12643,x12642)+~P8(x12641,f4(x12641),x12643)+P7(x12641,f13(x12641,x12642),f13(x12641,x12643))
% 39.29/39.41 [1265]~P14(x12651)+~P8(x12651,x12653,x12652)+~P8(x12651,f4(x12651),x12653)+P8(x12651,f13(x12651,x12652),f13(x12651,x12653))
% 39.29/39.41 [1320]~P14(x13201)+P7(x13201,x13202,x13203)+~P8(x13201,x13202,f4(x13201))+~P7(x13201,f13(x13201,x13203),f13(x13201,x13202))
% 39.29/39.41 [1321]~P14(x13211)+P8(x13211,x13212,x13213)+~P8(x13211,x13212,f4(x13211))+~P8(x13211,f13(x13211,x13213),f13(x13211,x13212))
% 39.29/39.41 [1322]~P14(x13221)+P7(x13221,x13222,x13223)+~P8(x13221,f4(x13221),x13223)+~P7(x13221,f13(x13221,x13223),f13(x13221,x13222))
% 39.29/39.41 [1323]~P14(x13231)+P8(x13231,x13232,x13233)+~P8(x13231,f4(x13231),x13233)+~P8(x13231,f13(x13231,x13233),f13(x13231,x13232))
% 39.29/39.41 [1351]E(x13511,x13512)+~P7(a1,x13513,x13512)+~P7(a1,x13513,x13511)+~E(f11(a1,x13511,x13513),f11(a1,x13512,x13513))
% 39.29/39.41 [1430]~P26(x14301)+~P8(x14301,f4(x14301),x14303)+~P8(x14301,f4(x14301),x14302)+P8(x14301,f4(x14301),f12(x14301,x14302,x14303))
% 39.29/39.41 [1431]~P26(x14311)+~P7(x14311,x14313,f4(x14311))+~P7(x14311,x14312,f4(x14311))+P7(x14311,f12(x14311,x14312,x14313),f4(x14311))
% 39.29/39.41 [1432]~P26(x14321)+~P7(x14321,x14323,f4(x14321))+~P8(x14321,x14322,f4(x14321))+P8(x14321,f12(x14321,x14322,x14323),f4(x14321))
% 39.29/39.41 [1433]~P26(x14331)+~P7(x14331,x14332,f4(x14331))+~P8(x14331,x14333,f4(x14331))+P8(x14331,f12(x14331,x14332,x14333),f4(x14331))
% 39.29/39.41 [1434]~P26(x14341)+~P8(x14341,x14343,f4(x14341))+~P8(x14341,x14342,f4(x14341))+P8(x14341,f12(x14341,x14342,x14343),f4(x14341))
% 39.29/39.41 [1444]P79(x14442,x14441,x14443)+P8(a59,x14441,f51(x14443,x14441,x14442))+P8(a59,f48(x14443,x14441,x14442),x14441)+E(x14441,f4(a59))
% 39.29/39.41 [1446]P79(x14462,x14461,x14463)+P8(a59,x14461,f51(x14463,x14461,x14462))+E(x14461,f4(a59))+P7(a59,f4(a59),f48(x14463,x14461,x14462))
% 39.29/39.41 [1447]P79(x14472,x14471,x14473)+P8(a59,f48(x14473,x14471,x14472),x14471)+E(x14471,f4(a59))+P7(a59,f51(x14473,x14471,x14472),f4(a59))
% 39.29/39.41 [1448]P79(x14482,x14481,x14483)+E(x14481,f4(a59))+P7(a59,f4(a59),f48(x14483,x14481,x14482))+P7(a59,f51(x14483,x14481,x14482),f4(a59))
% 39.29/39.41 [1640]~P7(a59,x16402,x16403)+P7(a59,f8(a59,x16401,x16402),f8(a59,x16401,x16403))+~P8(a59,x16401,f4(a59))+~P8(a59,f4(a59),x16402)
% 39.29/39.41 [1641]~P7(a59,x16413,x16412)+P7(a59,f8(a59,x16411,x16412),f8(a59,x16411,x16413))+~P7(a59,f4(a59),x16411)+~P8(a59,f4(a59),x16413)
% 39.29/39.41 [1732]~P7(a1,x17323,x17321)+P7(a1,x17321,x17322)+~P7(a1,x17323,x17322)+~P7(a1,f11(a1,x17321,x17323),f11(a1,x17322,x17323))
% 39.29/39.41 [1733]~P7(a1,x17333,x17331)+P8(a1,x17331,x17332)+~P7(a1,x17333,x17332)+~P8(a1,f11(a1,x17331,x17333),f11(a1,x17332,x17333))
% 39.29/39.41 [834]~P25(x8341)+~E(x8342,f4(x8341))+~E(x8343,f4(f62(x8341)))+E(f15(x8341,x8342,x8343),f4(f62(x8341)))
% 39.29/39.41 [891]~P56(x8912)+E(x8911,f4(x8912))+~E(f21(x8912,x8911,x8913),f4(f62(x8912)))+E(x8913,f4(f62(x8912)))
% 39.29/39.41 [983]~P56(x9832)+~E(f17(x9832,x9833,x9831),f4(a1))+~E(f36(f14(x9832,x9831),x9833),f4(x9832))+E(x9831,f4(f62(x9832)))
% 39.29/39.41 [1108]P79(x11081,x11082,x11083)+P8(a59,x11082,f4(a59))+P8(a59,f4(a59),x11082)+~P78(f36(x11081,f4(a59)))
% 39.29/39.41 [1208]~P7(a1,x12083,f26(x12082,x12081))+~P78(f36(x12081,x12082))+~P78(f36(x12081,x12083))+P78(f36(x12081,f4(a1)))
% 39.29/39.41 [1331]P79(x13311,x13312,x13313)+P8(a59,f48(x13313,x13312,x13311),x13312)+P8(a59,x13312,f4(a59))+~P78(f36(x13311,f4(a59)))
% 39.29/39.41 [1332]P79(x13321,x13322,x13323)+P8(a59,x13322,f51(x13323,x13322,x13321))+P8(a59,f4(a59),x13322)+~P78(f36(x13321,f4(a59)))
% 39.29/39.41 [1345]P79(x13451,x13452,x13453)+P8(a59,x13452,f4(a59))+P7(a59,f4(a59),f48(x13453,x13452,x13451))+~P78(f36(x13451,f4(a59)))
% 39.29/39.41 [1346]P79(x13461,x13462,x13463)+P8(a59,f4(a59),x13462)+P7(a59,f51(x13463,x13462,x13461),f4(a59))+~P78(f36(x13461,f4(a59)))
% 39.29/39.41 [1440]~P47(x14401)+~P7(a61,x14403,f19(x14401,x14402))+~P8(a61,f4(a61),x14403)+P7(a61,f19(x14401,f13(x14401,x14402)),f13(a61,x14403))
% 39.29/39.41 [1526]P79(x15261,x15262,x15263)+P8(a59,x15262,f51(x15263,x15262,x15261))+P8(a59,f48(x15263,x15262,x15261),x15262)+~P78(f36(x15261,f4(a59)))
% 39.29/39.41 [1530]P79(x15301,x15302,x15303)+P8(a59,x15302,f51(x15303,x15302,x15301))+P7(a59,f4(a59),f48(x15303,x15302,x15301))+~P78(f36(x15301,f4(a59)))
% 39.29/39.41 [1531]P79(x15311,x15312,x15313)+P8(a59,f48(x15313,x15312,x15311),x15312)+P7(a59,f51(x15313,x15312,x15311),f4(a59))+~P78(f36(x15311,f4(a59)))
% 39.29/39.41 [1536]P79(x15361,x15362,x15363)+P7(a59,f4(a59),f48(x15363,x15362,x15361))+P7(a59,f51(x15363,x15362,x15361),f4(a59))+~P78(f36(x15361,f4(a59)))
% 39.29/39.41 [1617]P79(x16172,x16171,x16173)+E(x16171,f4(a59))+P8(a59,x16171,f4(a59))+~P78(f36(x16172,f49(x16173,x16171,x16172)))
% 39.29/39.41 [1618]P79(x16182,x16181,x16183)+E(x16181,f4(a59))+P8(a59,f4(a59),x16181)+~P78(f36(x16182,f52(x16183,x16181,x16182)))
% 39.29/39.41 [1674]P79(x16741,x16742,x16743)+P8(a59,x16742,f4(a59))+~P78(f36(x16741,f49(x16743,x16742,x16741)))+~P78(f36(x16741,f4(a59)))
% 39.29/39.41 [1675]P79(x16751,x16752,x16753)+P8(a59,f4(a59),x16752)+~P78(f36(x16751,f52(x16753,x16752,x16751)))+~P78(f36(x16751,f4(a59)))
% 39.29/39.41 [1702]P79(x17023,x17021,x17022)+E(x17021,f4(a59))+P8(a59,x17021,f4(a59))+E(f12(a59,f36(f36(f9(a59),x17021),f49(x17022,x17021,x17023)),f48(x17022,x17021,x17023)),x17022)
% 39.29/39.41 [1703]P79(x17033,x17031,x17032)+E(x17031,f4(a59))+P8(a59,f4(a59),x17031)+E(f12(a59,f36(f36(f9(a59),x17031),f52(x17032,x17031,x17033)),f51(x17032,x17031,x17033)),x17032)
% 39.29/39.41 [1710]P79(x17102,x17101,x17103)+P8(a59,x17101,f51(x17103,x17101,x17102))+E(x17101,f4(a59))+~P78(f36(x17102,f49(x17103,x17101,x17102)))
% 39.29/39.41 [1711]P79(x17112,x17111,x17113)+P8(a59,f48(x17113,x17111,x17112),x17111)+E(x17111,f4(a59))+~P78(f36(x17112,f52(x17113,x17111,x17112)))
% 39.29/39.41 [1714]P79(x17142,x17141,x17143)+E(x17141,f4(a59))+P7(a59,f4(a59),f48(x17143,x17141,x17142))+~P78(f36(x17142,f52(x17143,x17141,x17142)))
% 39.29/39.41 [1715]P79(x17152,x17151,x17153)+E(x17151,f4(a59))+P7(a59,f51(x17153,x17151,x17152),f4(a59))+~P78(f36(x17152,f49(x17153,x17151,x17152)))
% 39.29/39.41 [1735]P79(x17353,x17351,x17352)+P8(a59,x17351,f4(a59))+E(f12(a59,f36(f36(f9(a59),x17351),f49(x17352,x17351,x17353)),f48(x17352,x17351,x17353)),x17352)+~P78(f36(x17353,f4(a59)))
% 39.29/39.41 [1736]P79(x17363,x17361,x17362)+P8(a59,f4(a59),x17361)+E(f12(a59,f36(f36(f9(a59),x17361),f52(x17362,x17361,x17363)),f51(x17362,x17361,x17363)),x17362)+~P78(f36(x17363,f4(a59)))
% 39.29/39.41 [1741]P79(x17411,x17412,x17413)+P8(a59,x17412,f51(x17413,x17412,x17411))+~P78(f36(x17411,f49(x17413,x17412,x17411)))+~P78(f36(x17411,f4(a59)))
% 39.29/39.41 [1742]P79(x17421,x17422,x17423)+P8(a59,f48(x17423,x17422,x17421),x17422)+~P78(f36(x17421,f52(x17423,x17422,x17421)))+~P78(f36(x17421,f4(a59)))
% 39.29/39.41 [1743]P79(x17431,x17432,x17433)+P7(a59,f4(a59),f48(x17433,x17432,x17431))+~P78(f36(x17431,f52(x17433,x17432,x17431)))+~P78(f36(x17431,f4(a59)))
% 39.29/39.41 [1744]P79(x17441,x17442,x17443)+P7(a59,f51(x17443,x17442,x17441),f4(a59))+~P78(f36(x17441,f49(x17443,x17442,x17441)))+~P78(f36(x17441,f4(a59)))
% 39.29/39.41 [1755]P79(x17553,x17551,x17552)+P8(a59,x17551,f51(x17552,x17551,x17553))+E(x17551,f4(a59))+E(f12(a59,f36(f36(f9(a59),x17551),f49(x17552,x17551,x17553)),f48(x17552,x17551,x17553)),x17552)
% 39.29/39.41 [1756]P79(x17563,x17561,x17562)+P8(a59,f48(x17562,x17561,x17563),x17561)+E(x17561,f4(a59))+E(f12(a59,f36(f36(f9(a59),x17561),f52(x17562,x17561,x17563)),f51(x17562,x17561,x17563)),x17562)
% 39.29/39.41 [1759]P79(x17593,x17591,x17592)+E(x17591,f4(a59))+P7(a59,f4(a59),f48(x17592,x17591,x17593))+E(f12(a59,f36(f36(f9(a59),x17591),f52(x17592,x17591,x17593)),f51(x17592,x17591,x17593)),x17592)
% 39.29/39.41 [1760]P79(x17603,x17601,x17602)+E(x17601,f4(a59))+P7(a59,f51(x17602,x17601,x17603),f4(a59))+E(f12(a59,f36(f36(f9(a59),x17601),f49(x17602,x17601,x17603)),f48(x17602,x17601,x17603)),x17602)
% 39.29/39.41 [1773]P79(x17733,x17731,x17732)+P8(a59,x17731,f51(x17732,x17731,x17733))+E(f12(a59,f36(f36(f9(a59),x17731),f49(x17732,x17731,x17733)),f48(x17732,x17731,x17733)),x17732)+~P78(f36(x17733,f4(a59)))
% 39.29/39.41 [1774]P79(x17743,x17741,x17742)+P8(a59,f48(x17742,x17741,x17743),x17741)+E(f12(a59,f36(f36(f9(a59),x17741),f52(x17742,x17741,x17743)),f51(x17742,x17741,x17743)),x17742)+~P78(f36(x17743,f4(a59)))
% 39.29/39.41 [1775]P79(x17753,x17751,x17752)+P7(a59,f4(a59),f48(x17752,x17751,x17753))+E(f12(a59,f36(f36(f9(a59),x17751),f52(x17752,x17751,x17753)),f51(x17752,x17751,x17753)),x17752)+~P78(f36(x17753,f4(a59)))
% 39.29/39.41 [1776]P79(x17763,x17761,x17762)+P7(a59,f51(x17762,x17761,x17763),f4(a59))+E(f12(a59,f36(f36(f9(a59),x17761),f49(x17762,x17761,x17763)),f48(x17762,x17761,x17763)),x17762)+~P78(f36(x17763,f4(a59)))
% 39.29/39.41 [1790]P79(x17902,x17901,x17903)+E(x17901,f4(a59))+~P78(f36(x17902,f49(x17903,x17901,x17902)))+~P78(f36(x17902,f52(x17903,x17901,x17902)))
% 39.29/39.41 [1794]P79(x17941,x17942,x17943)+~P78(f36(x17941,f49(x17943,x17942,x17941)))+~P78(f36(x17941,f52(x17943,x17942,x17941)))+~P78(f36(x17941,f4(a59)))
% 39.29/39.41 [1796]P79(x17963,x17961,x17962)+E(x17961,f4(a59))+E(f12(a59,f36(f36(f9(a59),x17961),f49(x17962,x17961,x17963)),f48(x17962,x17961,x17963)),x17962)+~P78(f36(x17963,f52(x17962,x17961,x17963)))
% 39.29/39.41 [1797]P79(x17973,x17971,x17972)+E(x17971,f4(a59))+E(f12(a59,f36(f36(f9(a59),x17971),f52(x17972,x17971,x17973)),f51(x17972,x17971,x17973)),x17972)+~P78(f36(x17973,f49(x17972,x17971,x17973)))
% 39.29/39.41 [1804]P79(x18043,x18041,x18042)+E(f12(a59,f36(f36(f9(a59),x18041),f49(x18042,x18041,x18043)),f48(x18042,x18041,x18043)),x18042)+~P78(f36(x18043,f52(x18042,x18041,x18043)))+~P78(f36(x18043,f4(a59)))
% 39.29/39.41 [1805]P79(x18053,x18051,x18052)+E(f12(a59,f36(f36(f9(a59),x18051),f52(x18052,x18051,x18053)),f51(x18052,x18051,x18053)),x18052)+~P78(f36(x18053,f49(x18052,x18051,x18053)))+~P78(f36(x18053,f4(a59)))
% 39.29/39.41 [1807]P79(x18073,x18071,x18072)+E(x18071,f4(a59))+E(f12(a59,f36(f36(f9(a59),x18071),f52(x18072,x18071,x18073)),f51(x18072,x18071,x18073)),x18072)+E(f12(a59,f36(f36(f9(a59),x18071),f49(x18072,x18071,x18073)),f48(x18072,x18071,x18073)),x18072)
% 39.29/39.41 [1810]~P58(x18102)+E(x18101,f4(x18102))+E(x18103,f4(x18102))+E(f36(f36(f9(x18102),f36(f36(f9(x18102),f13(x18102,x18103)),f11(x18102,x18101,x18103))),f13(x18102,x18101)),f11(x18102,f13(x18102,x18103),f13(x18102,x18101)))
% 39.29/39.41 [1811]~P58(x18112)+E(x18111,f4(x18112))+E(x18113,f4(x18112))+E(f36(f36(f9(x18112),f36(f36(f9(x18112),f13(x18112,x18113)),f12(x18112,x18113,x18111))),f13(x18112,x18111)),f12(x18112,f13(x18112,x18113),f13(x18112,x18111)))
% 39.29/39.41 [1812]P79(x18123,x18121,x18122)+E(f12(a59,f36(f36(f9(a59),x18121),f52(x18122,x18121,x18123)),f51(x18122,x18121,x18123)),x18122)+E(f12(a59,f36(f36(f9(a59),x18121),f49(x18122,x18121,x18123)),f48(x18122,x18121,x18123)),x18122)+~P78(f36(x18123,f4(a59)))
% 39.29/39.41 [1835]~P11(x18352)+E(x18351,f4(x18352))+E(x18353,f4(x18352))+E(f36(f36(f9(x18352),f36(f36(f9(x18352),f12(x18352,x18353,x18351)),f13(x18352,x18353))),f13(x18352,x18351)),f12(x18352,f13(x18352,x18353),f13(x18352,x18351)))
% 39.29/39.41 [845]~P66(x8452)+E(x8451,f4(x8452))+E(x8453,f4(x8452))+~E(f36(f36(f9(x8452),x8453),x8451),f4(x8452))
% 39.29/39.41 [846]~P74(x8462)+E(x8461,f4(x8462))+E(x8463,f4(x8462))+~E(f36(f36(f9(x8462),x8463),x8461),f4(x8462))
% 39.29/39.41 [1020]~P56(x10203)+E(x10201,x10202)+E(x10201,f5(x10203,x10202))+~E(f36(f36(f9(x10203),x10201),x10201),f36(f36(f9(x10203),x10202),x10202))
% 39.29/39.41 [1394]~P53(x13941)+~P8(x13941,f10(x13941),x13942)+~P8(a1,f4(a1),x13943)+P8(x13941,f10(x13941),f36(f36(f23(x13941),x13942),x13943))
% 39.29/39.41 [1407]~P60(x14071)+~P7(x14071,x14073,f4(x14071))+~P7(x14071,x14072,f4(x14071))+P7(x14071,f4(x14071),f36(f36(f9(x14071),x14072),x14073))
% 39.29/39.41 [1409]~P69(x14091)+~P7(x14091,x14093,f4(x14091))+~P7(x14091,x14092,f4(x14091))+P7(x14091,f4(x14091),f36(f36(f9(x14091),x14092),x14093))
% 39.29/39.41 [1410]~P60(x14101)+~P8(x14101,x14103,f4(x14101))+~P8(x14101,x14102,f4(x14101))+P8(x14101,f4(x14101),f36(f36(f9(x14101),x14102),x14103))
% 39.29/39.41 [1411]~P60(x14111)+~P7(x14111,f4(x14111),x14113)+~P7(x14111,f4(x14111),x14112)+P7(x14111,f4(x14111),f36(f36(f9(x14111),x14112),x14113))
% 39.29/39.41 [1412]~P69(x14121)+~P7(x14121,f4(x14121),x14123)+~P7(x14121,f4(x14121),x14122)+P7(x14121,f4(x14121),f36(f36(f9(x14121),x14122),x14123))
% 39.29/39.41 [1413]~P70(x14131)+~P7(x14131,f4(x14131),x14133)+~P7(x14131,f4(x14131),x14132)+P7(x14131,f4(x14131),f36(f36(f9(x14131),x14132),x14133))
% 39.29/39.41 [1414]~P65(x14141)+~P8(x14141,f4(x14141),x14143)+~P8(x14141,f4(x14141),x14142)+P8(x14141,f4(x14141),f36(f36(f9(x14141),x14142),x14143))
% 39.29/39.41 [1415]~P53(x14151)+~P8(x14151,f10(x14151),x14153)+~P8(x14151,f10(x14151),x14152)+P8(x14151,f10(x14151),f36(f36(f9(x14151),x14152),x14153))
% 39.29/39.41 [1417]~P60(x14171)+~P7(x14171,x14173,f4(x14171))+~P7(x14171,f4(x14171),x14172)+P7(x14171,f36(f36(f9(x14171),x14172),x14173),f4(x14171))
% 39.29/39.41 [1418]~P60(x14181)+~P7(x14181,x14182,f4(x14181))+~P7(x14181,f4(x14181),x14183)+P7(x14181,f36(f36(f9(x14181),x14182),x14183),f4(x14181))
% 39.29/39.41 [1420]~P70(x14201)+~P7(x14201,x14203,f4(x14201))+~P7(x14201,f4(x14201),x14202)+P7(x14201,f36(f36(f9(x14201),x14202),x14203),f4(x14201))
% 39.29/39.41 [1422]~P70(x14221)+~P7(x14221,x14222,f4(x14221))+~P7(x14221,f4(x14221),x14223)+P7(x14221,f36(f36(f9(x14221),x14222),x14223),f4(x14221))
% 39.29/39.41 [1424]~P65(x14241)+~P8(x14241,x14243,f4(x14241))+~P8(x14241,f4(x14241),x14242)+P8(x14241,f36(f36(f9(x14241),x14242),x14243),f4(x14241))
% 39.29/39.41 [1425]~P65(x14251)+~P8(x14251,x14252,f4(x14251))+~P8(x14251,f4(x14251),x14253)+P8(x14251,f36(f36(f9(x14251),x14252),x14253),f4(x14251))
% 39.29/39.41 [1449]~P60(x14491)+P7(x14491,x14492,f4(x14491))+P7(x14491,x14493,f4(x14491))+~P7(x14491,f36(f36(f9(x14491),x14493),x14492),f4(x14491))
% 39.29/39.41 [1450]~P60(x14501)+P7(x14501,x14502,f4(x14501))+P7(x14501,f4(x14501),x14503)+~P7(x14501,f4(x14501),f36(f36(f9(x14501),x14503),x14502))
% 39.29/39.41 [1451]~P60(x14511)+P7(x14511,x14512,f4(x14511))+P7(x14511,f4(x14511),x14513)+~P7(x14511,f4(x14511),f36(f36(f9(x14511),x14512),x14513))
% 39.29/39.41 [1452]~P60(x14521)+P7(x14521,f4(x14521),x14522)+P7(x14521,x14522,f4(x14521))+~P7(x14521,f4(x14521),f36(f36(f9(x14521),x14523),x14522))
% 39.29/39.41 [1453]~P60(x14531)+P7(x14531,f4(x14531),x14532)+P7(x14531,x14532,f4(x14531))+~P7(x14531,f4(x14531),f36(f36(f9(x14531),x14532),x14533))
% 39.29/39.41 [1454]~P60(x14541)+P7(x14541,f4(x14541),x14542)+P7(x14541,x14542,f4(x14541))+~P7(x14541,f36(f36(f9(x14541),x14543),x14542),f4(x14541))
% 39.29/39.41 [1455]~P60(x14551)+P7(x14551,f4(x14551),x14552)+P7(x14551,x14552,f4(x14551))+~P7(x14551,f36(f36(f9(x14551),x14552),x14553),f4(x14551))
% 39.29/39.41 [1456]~P60(x14561)+P7(x14561,f4(x14561),x14562)+P7(x14561,f4(x14561),x14563)+~P7(x14561,f36(f36(f9(x14561),x14562),x14563),f4(x14561))
% 39.29/39.41 [1505]~P65(x15051)+P8(x15051,f4(x15051),x15052)+~P8(x15051,f4(x15051),x15053)+~P8(x15051,f4(x15051),f36(f36(f9(x15051),x15053),x15052))
% 39.29/39.41 [1506]~P65(x15061)+P8(x15061,f4(x15061),x15062)+~P8(x15061,f4(x15061),x15063)+~P8(x15061,f4(x15061),f36(f36(f9(x15061),x15062),x15063))
% 39.29/39.41 [1698]~P53(x16981)+~P7(x16981,x16982,f10(x16981))+~P7(x16981,f4(x16981),x16982)+P7(x16981,f36(f36(f23(x16981),x16982),f12(a1,x16983,f10(a1))),x16982)
% 39.29/39.41 [1704]~P53(x17041)+~P8(x17041,x17042,f10(x17041))+~P8(x17041,f4(x17041),x17042)+P8(x17041,f36(f36(f23(x17041),x17042),f12(a1,x17043,f10(a1))),f10(x17041))
% 39.29/39.41 [1803]E(x18031,f8(a1,x18032,x18033))+~P8(a1,f4(a1),x18033)+~P7(a1,f36(f36(f9(a1),x18033),x18031),x18032)+~P8(a1,x18032,f36(f36(f9(a1),x18033),f12(a1,x18031,f10(a1))))
% 39.29/39.41 [1832]~P56(x18323)+E(x18321,x18322)+E(x18321,f5(x18323,x18322))+~E(f36(f36(f23(x18323),x18321),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1))),f36(f36(f23(x18323),x18322),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1))))
% 39.29/39.41 [1843]~P58(x18432)+E(x18431,f4(x18432))+E(x18433,f4(x18432))+E(f5(x18432,f36(f36(f9(x18432),f36(f36(f9(x18432),f13(x18432,x18433)),f11(x18432,x18433,x18431))),f13(x18432,x18431))),f11(x18432,f13(x18432,x18433),f13(x18432,x18431)))
% 39.29/39.41 [1214]~P58(x12142)+E(x12141,f4(x12142))+E(x12143,f4(x12142))+E(f36(f36(f9(x12142),f13(x12142,x12141)),f13(x12142,x12143)),f13(x12142,f36(f36(f9(x12142),x12143),x12141)))
% 39.29/39.41 [1252]~P60(x12521)+~E(x12523,f4(x12521))+~E(x12522,f4(x12521))+E(f12(x12521,f36(f36(f9(x12521),x12522),x12522),f36(f36(f9(x12521),x12523),x12523)),f4(x12521))
% 39.29/39.41 [1578]~P8(a59,x15782,x15783)+~P8(a59,f4(a59),x15783)+P7(a59,f10(a59),x15781)+~E(f12(a59,x15782,f36(f36(f9(a59),x15783),x15781)),x15783)
% 39.29/39.41 [1582]~P7(a59,f4(a59),x15822)+~P8(a59,f4(a59),x15823)+P7(a59,x15821,f10(a59))+~E(f12(a59,x15822,f36(f36(f9(a59),x15823),x15821)),x15823)
% 39.29/39.41 [1709]~P60(x17091)+~E(x17093,f4(x17091))+~E(x17092,f4(x17091))+P7(x17091,f12(x17091,f36(f36(f9(x17091),x17092),x17092),f36(f36(f9(x17091),x17093),x17093)),f4(x17091))
% 39.29/39.41 [1745]~P53(x17451)+~P8(x17451,x17452,f10(x17451))+~P8(x17451,f4(x17451),x17452)+P8(x17451,f36(f36(f9(x17451),x17452),f36(f36(f23(x17451),x17452),x17453)),f36(f36(f23(x17451),x17452),x17453))
% 39.29/39.41 [1778]~P8(a59,x17782,x17783)+~P8(a59,f4(a59),x17783)+P7(a59,f4(a59),x17781)+~P7(a59,f4(a59),f12(a59,f36(f36(f9(a59),x17783),x17781),x17782))
% 39.29/39.41 [1780]P7(a59,x17801,f4(a59))+~P7(a59,f4(a59),x17802)+~P8(a59,f4(a59),x17803)+~P8(a59,f12(a59,f36(f36(f9(a59),x17803),x17801),x17802),f4(a59))
% 39.29/39.41 [1802]~P60(x18022)+~E(x18021,f4(x18022))+~E(x18023,f4(x18022))+~P8(x18022,f4(x18022),f12(x18022,f36(f36(f9(x18022),x18023),x18023),f36(f36(f9(x18022),x18021),x18021)))
% 39.29/39.41 [1134]~P41(x11341)+~P7(x11341,x11344,x11343)+P7(x11341,x11342,x11343)+~P7(x11341,x11342,x11344)
% 39.29/39.41 [1135]~P33(x11351)+~P7(x11351,x11352,x11354)+P7(x11351,x11352,x11353)+~P7(x11351,x11354,x11353)
% 39.29/39.41 [1136]~P41(x11361)+~P8(x11361,x11364,x11363)+P8(x11361,x11362,x11363)+~P7(x11361,x11362,x11364)
% 39.29/39.41 [1137]~P41(x11371)+~P8(x11371,x11372,x11374)+P8(x11371,x11372,x11373)+~P7(x11371,x11374,x11373)
% 39.29/39.41 [1138]~P41(x11381)+~P8(x11381,x11384,x11383)+P8(x11381,x11382,x11383)+~P8(x11381,x11382,x11384)
% 39.29/39.41 [1139]~P33(x11391)+~P8(x11391,x11392,x11394)+P8(x11391,x11392,x11393)+~P7(x11391,x11394,x11393)
% 39.29/39.41 [1140]~P33(x11401)+~P8(x11401,x11404,x11403)+P8(x11401,x11402,x11403)+~P7(x11401,x11402,x11404)
% 39.29/39.41 [1141]~P33(x11411)+~P8(x11411,x11412,x11414)+P8(x11411,x11412,x11413)+~P8(x11411,x11414,x11413)
% 39.29/39.41 [1142]~P42(x11421)+~P10(x11421,x11422,x11424)+P10(x11421,x11422,x11423)+~P10(x11421,x11424,x11423)
% 39.29/39.41 [1234]~P11(x12342)+~P10(f62(x12342),x12343,x12344)+P10(f62(x12342),x12343,f21(x12342,x12341,x12344))+E(x12341,f4(x12342))
% 39.29/39.41 [1235]~P11(x12352)+~P10(f62(x12352),x12353,x12354)+P10(f62(x12352),f21(x12352,x12351,x12353),x12354)+E(x12351,f4(x12352))
% 39.29/39.41 [1261]~P40(x12612)+P8(f66(x12611,x12612),x12614,x12613)+~P7(f66(x12611,x12612),x12614,x12613)+P7(f66(x12611,x12612),x12613,x12614)
% 39.29/39.41 [1354]~P11(x13542)+~P10(f62(x13542),x13543,f21(x13542,x13541,x13544))+P10(f62(x13542),x13543,x13544)+E(x13541,f4(x13542))
% 39.29/39.41 [1369]~P42(x13691)+~P10(x13691,x13692,x13694)+~P10(x13691,x13692,x13693)+P10(x13691,x13692,f12(x13691,x13693,x13694))
% 39.29/39.41 [1386]~P26(x13861)+~P7(x13861,x13862,x13863)+~P7(x13861,f4(x13861),x13864)+P7(x13861,x13862,f12(x13861,x13863,x13864))
% 39.29/39.41 [1387]~P26(x13871)+~P7(x13871,x13872,x13874)+~P7(x13871,f4(x13871),x13873)+P7(x13871,x13872,f12(x13871,x13873,x13874))
% 39.29/39.41 [1388]~P53(x13881)+~P8(x13881,x13882,x13884)+~P8(x13881,f4(x13881),x13883)+P8(x13881,x13882,f12(x13881,x13883,x13884))
% 39.29/39.41 [1389]~P26(x13891)+~P7(x13891,x13892,x13894)+~P8(x13891,f4(x13891),x13893)+P8(x13891,x13892,f12(x13891,x13893,x13894))
% 39.29/39.41 [1390]~P26(x13901)+~P8(x13901,x13902,x13904)+~P7(x13901,f4(x13901),x13903)+P8(x13901,x13902,f12(x13901,x13903,x13904))
% 39.29/39.41 [1568]~P45(x15682)+E(x15681,f4(x15682))+~P7(a61,x15683,f4(a61))+~P7(a61,f19(x15682,x15681),f36(f36(f9(a61),x15683),f19(x15682,x15684)))
% 39.29/39.41 [1716]~P5(x17161)+~P10(x17161,x17163,x17164)+~P10(x17161,x17163,x17162)+E(f12(x17161,f8(x17161,x17162,x17163),f8(x17161,x17164,x17163)),f8(x17161,f12(x17161,x17162,x17164),x17163))
% 39.29/39.41 [1220]~P53(x12203)+E(x12201,x12202)+~P8(x12203,f10(x12203),x12204)+~E(f36(f36(f23(x12203),x12204),x12201),f36(f36(f23(x12203),x12204),x12202))
% 39.29/39.41 [1540]~P53(x15401)+~P7(a1,x15403,x15404)+~P8(x15401,f10(x15401),x15402)+P7(x15401,f36(f36(f23(x15401),x15402),x15403),f36(f36(f23(x15401),x15402),x15404))
% 39.29/39.41 [1541]~P53(x15411)+~P7(a1,x15413,x15414)+~P7(x15411,f10(x15411),x15412)+P7(x15411,f36(f36(f23(x15411),x15412),x15413),f36(f36(f23(x15411),x15412),x15414))
% 39.29/39.41 [1543]~P53(x15431)+~P8(a1,x15433,x15434)+~P8(x15431,f10(x15431),x15432)+P8(x15431,f36(f36(f23(x15431),x15432),x15433),f36(f36(f23(x15431),x15432),x15434))
% 39.29/39.41 [1549]~P60(x15491)+~P7(x15491,x15494,x15493)+~P8(x15491,x15492,f4(x15491))+P7(x15491,f36(f36(f9(x15491),x15492),x15493),f36(f36(f9(x15491),x15492),x15494))
% 39.29/39.41 [1550]~P69(x15501)+~P7(x15501,x15504,x15503)+~P7(x15501,x15502,f4(x15501))+P7(x15501,f36(f36(f9(x15501),x15502),x15503),f36(f36(f9(x15501),x15502),x15504))
% 39.29/39.41 [1551]~P69(x15511)+~P7(x15511,x15514,x15512)+~P7(x15511,x15513,f4(x15511))+P7(x15511,f36(f36(f9(x15511),x15512),x15513),f36(f36(f9(x15511),x15514),x15513))
% 39.29/39.41 [1555]~P60(x15551)+~P8(x15551,x15554,x15552)+~P8(x15551,x15553,f4(x15551))+P8(x15551,f36(f36(f9(x15551),x15552),x15553),f36(f36(f9(x15551),x15554),x15553))
% 39.29/39.41 [1556]~P60(x15561)+~P8(x15561,x15564,x15563)+~P8(x15561,x15562,f4(x15561))+P8(x15561,f36(f36(f9(x15561),x15562),x15563),f36(f36(f9(x15561),x15562),x15564))
% 39.29/39.41 [1557]~P53(x15571)+~P7(x15571,x15572,x15574)+~P7(x15571,f4(x15571),x15572)+P7(x15571,f36(f36(f23(x15571),x15572),x15573),f36(f36(f23(x15571),x15574),x15573))
% 39.29/39.41 [1558]~P60(x15581)+~P7(x15581,x15583,x15584)+~P8(x15581,f4(x15581),x15582)+P7(x15581,f36(f36(f9(x15581),x15582),x15583),f36(f36(f9(x15581),x15582),x15584))
% 39.29/39.41 [1559]~P73(x15591)+~P7(x15591,x15593,x15594)+~P7(x15591,f4(x15591),x15592)+P7(x15591,f36(f36(f9(x15591),x15592),x15593),f36(f36(f9(x15591),x15592),x15594))
% 39.29/39.41 [1560]~P71(x15601)+~P7(x15601,x15603,x15604)+~P7(x15601,f4(x15601),x15602)+P7(x15601,f36(f36(f9(x15601),x15602),x15603),f36(f36(f9(x15601),x15602),x15604))
% 39.29/39.41 [1561]~P73(x15611)+~P7(x15611,x15612,x15614)+~P7(x15611,f4(x15611),x15613)+P7(x15611,f36(f36(f9(x15611),x15612),x15613),f36(f36(f9(x15611),x15614),x15613))
% 39.29/39.41 [1563]~P65(x15631)+~P8(x15631,x15633,x15634)+~P8(x15631,f4(x15631),x15632)+P8(x15631,f36(f36(f9(x15631),x15632),x15633),f36(f36(f9(x15631),x15632),x15634))
% 39.29/39.41 [1564]~P55(x15641)+~P8(x15641,x15643,x15644)+~P8(x15641,f4(x15641),x15642)+P8(x15641,f36(f36(f9(x15641),x15642),x15643),f36(f36(f9(x15641),x15642),x15644))
% 39.29/39.41 [1565]~P60(x15651)+~P8(x15651,x15652,x15654)+~P8(x15651,f4(x15651),x15653)+P8(x15651,f36(f36(f9(x15651),x15652),x15653),f36(f36(f9(x15651),x15654),x15653))
% 39.29/39.41 [1566]~P65(x15661)+~P8(x15661,x15662,x15664)+~P8(x15661,f4(x15661),x15663)+P8(x15661,f36(f36(f9(x15661),x15662),x15663),f36(f36(f9(x15661),x15664),x15663))
% 39.29/39.41 [1567]~P60(x15671)+~P8(x15671,x15673,x15674)+~P8(x15671,f4(x15671),x15672)+P8(x15671,f36(f36(f9(x15671),x15672),x15673),f36(f36(f9(x15671),x15672),x15674))
% 39.29/39.41 [1591]~P56(x15912)+P10(x15912,x15913,x15914)+E(x15911,f4(x15912))+~P10(x15912,f36(f36(f9(x15912),x15913),x15911),f36(f36(f9(x15912),x15914),x15911))
% 39.29/39.41 [1592]~P56(x15922)+P10(x15922,x15923,x15924)+E(x15921,f4(x15922))+~P10(x15922,f36(f36(f9(x15922),x15921),x15923),f36(f36(f9(x15922),x15921),x15924))
% 39.29/39.41 [1642]P8(x16421,x16423,x16422)+~P60(x16421)+P8(x16421,x16422,x16423)+~P8(x16421,f36(f36(f9(x16421),x16424),x16422),f36(f36(f9(x16421),x16424),x16423))
% 39.29/39.41 [1643]P8(x16431,x16433,x16432)+~P60(x16431)+P8(x16431,x16432,x16433)+~P8(x16431,f36(f36(f9(x16431),x16432),x16434),f36(f36(f9(x16431),x16433),x16434))
% 39.29/39.41 [1647]~P60(x16471)+P8(x16471,x16472,x16473)+P8(x16471,x16474,f4(x16471))+~P8(x16471,f36(f36(f9(x16471),x16472),x16474),f36(f36(f9(x16471),x16473),x16474))
% 39.29/39.41 [1648]~P60(x16481)+P8(x16481,x16482,x16483)+P8(x16481,x16484,f4(x16481))+~P8(x16481,f36(f36(f9(x16481),x16484),x16482),f36(f36(f9(x16481),x16484),x16483))
% 39.29/39.41 [1649]~P60(x16491)+P8(x16491,x16492,x16493)+P8(x16491,f4(x16491),x16494)+~P8(x16491,f36(f36(f9(x16491),x16494),x16493),f36(f36(f9(x16491),x16494),x16492))
% 39.29/39.41 [1650]~P60(x16501)+P8(x16501,x16502,x16503)+P8(x16501,f4(x16501),x16504)+~P8(x16501,f36(f36(f9(x16501),x16503),x16504),f36(f36(f9(x16501),x16502),x16504))
% 39.29/39.41 [1663]~P60(x16631)+P8(x16631,f4(x16631),x16632)+P8(x16631,x16632,f4(x16631))+~P8(x16631,f36(f36(f9(x16631),x16633),x16632),f36(f36(f9(x16631),x16634),x16632))
% 39.29/39.41 [1664]~P60(x16641)+P8(x16641,f4(x16641),x16642)+P8(x16641,x16642,f4(x16641))+~P8(x16641,f36(f36(f9(x16641),x16642),x16643),f36(f36(f9(x16641),x16642),x16644))
% 39.29/39.41 [1682]~P53(x16823)+P7(a1,x16821,x16822)+~P8(x16823,f10(x16823),x16824)+~P7(x16823,f36(f36(f23(x16823),x16824),x16821),f36(f36(f23(x16823),x16824),x16822))
% 39.29/39.41 [1684]~P53(x16843)+P8(a1,x16841,x16842)+~P8(x16843,f10(x16843),x16844)+~P8(x16843,f36(f36(f23(x16843),x16844),x16841),f36(f36(f23(x16843),x16844),x16842))
% 39.29/39.41 [1685]~P60(x16851)+P7(x16851,x16852,x16853)+~P8(x16851,x16854,f4(x16851))+~P7(x16851,f36(f36(f9(x16851),x16854),x16853),f36(f36(f9(x16851),x16854),x16852))
% 39.29/39.41 [1686]~P60(x16861)+P8(x16861,x16862,x16863)+~P8(x16861,x16864,f4(x16861))+~P8(x16861,f36(f36(f9(x16861),x16864),x16863),f36(f36(f9(x16861),x16864),x16862))
% 39.29/39.41 [1687]~P60(x16871)+P7(x16871,x16872,x16873)+~P8(x16871,f4(x16871),x16874)+~P7(x16871,f36(f36(f9(x16871),x16874),x16872),f36(f36(f9(x16871),x16874),x16873))
% 39.29/39.41 [1688]~P65(x16881)+P7(x16881,x16882,x16883)+~P8(x16881,f4(x16881),x16884)+~P7(x16881,f36(f36(f9(x16881),x16884),x16882),f36(f36(f9(x16881),x16884),x16883))
% 39.29/39.41 [1689]~P65(x16891)+P7(x16891,x16892,x16893)+~P8(x16891,f4(x16891),x16894)+~P7(x16891,f36(f36(f9(x16891),x16892),x16894),f36(f36(f9(x16891),x16893),x16894))
% 39.29/39.41 [1690]~P60(x16901)+P8(x16901,x16902,x16903)+~P8(x16901,f4(x16901),x16904)+~P8(x16901,f36(f36(f9(x16901),x16904),x16902),f36(f36(f9(x16901),x16904),x16903))
% 39.29/39.41 [1691]~P65(x16911)+P8(x16911,x16912,x16913)+~P7(x16911,f4(x16911),x16914)+~P8(x16911,f36(f36(f9(x16911),x16914),x16912),f36(f36(f9(x16911),x16914),x16913))
% 39.29/39.41 [1692]~P64(x16921)+P8(x16921,x16922,x16923)+~P7(x16921,f4(x16921),x16924)+~P8(x16921,f36(f36(f9(x16921),x16924),x16922),f36(f36(f9(x16921),x16924),x16923))
% 39.29/39.41 [1693]~P53(x16931)+P8(x16931,x16932,x16933)+~P7(x16931,f4(x16931),x16933)+~P8(x16931,f36(f36(f23(x16931),x16932),x16934),f36(f36(f23(x16931),x16933),x16934))
% 39.29/39.41 [1694]~P65(x16941)+P8(x16941,x16942,x16943)+~P7(x16941,f4(x16941),x16944)+~P8(x16941,f36(f36(f9(x16941),x16942),x16944),f36(f36(f9(x16941),x16943),x16944))
% 39.29/39.41 [1695]~P64(x16951)+P8(x16951,x16952,x16953)+~P7(x16951,f4(x16951),x16954)+~P8(x16951,f36(f36(f9(x16951),x16952),x16954),f36(f36(f9(x16951),x16953),x16954))
% 39.29/39.41 [1793]~P8(a61,f4(a61),x17934)+~P8(a61,f4(a61),x17932)+P8(a61,f36(f36(f9(a61),x17931),f13(a61,x17932)),f36(f36(f9(a61),x17933),f13(a61,x17934)))+~P8(a61,f36(f36(f9(a61),x17934),x17931),f36(f36(f9(a61),x17932),x17933))
% 39.29/39.41 [1806]~P8(a61,f4(a61),x18063)+~P8(a61,f4(a61),x18061)+~P8(a61,f36(f36(f9(a61),x18063),x18062),f36(f36(f9(a61),x18061),x18064))+P8(a61,f36(f36(f9(a61),f13(a61,x18061)),x18062),f36(f36(f9(a61),f13(a61,x18063)),x18064))
% 39.29/39.41 [1815]~P78(f36(x18151,x18154))+~P7(a1,f36(f36(f9(a1),x18153),x18154),x18152)+~P8(a1,x18152,f36(f36(f9(a1),x18153),f12(a1,x18154,f10(a1))))+P78(f36(x18151,f8(a1,x18152,x18153)))
% 39.29/39.41 [1831]~P53(x18311)+P7(x18311,x18312,x18313)+~P7(x18311,f4(x18311),x18313)+~P7(x18311,f36(f36(f23(x18311),x18312),f12(a1,x18314,f10(a1))),f36(f36(f23(x18311),x18313),f12(a1,x18314,f10(a1))))
% 39.29/39.41 [1019]~P4(x10195)+E(x10191,x10192)+~E(x10193,x10194)+~E(f11(x10195,x10193,x10194),f11(x10195,x10191,x10192))
% 39.29/39.41 [1307]~P30(x13071)+~P7(x13071,x13074,x13075)+P7(x13071,x13072,x13073)+~E(f11(x13071,x13074,x13075),f11(x13071,x13072,x13073))
% 39.29/39.41 [1309]~P30(x13091)+~P8(x13091,x13094,x13095)+P8(x13091,x13092,x13093)+~E(f11(x13091,x13094,x13095),f11(x13091,x13092,x13093))
% 39.29/39.41 [1544]~P28(x15441)+~P7(x15441,x15443,x15445)+~P7(x15441,x15442,x15444)+P7(x15441,f12(x15441,x15442,x15443),f12(x15441,x15444,x15445))
% 39.29/39.41 [1545]~P31(x15451)+~P7(x15451,x15453,x15455)+~P8(x15451,x15452,x15454)+P8(x15451,f12(x15451,x15452,x15453),f12(x15451,x15454,x15455))
% 39.29/39.41 [1546]~P31(x15461)+~P7(x15461,x15462,x15464)+~P8(x15461,x15463,x15465)+P8(x15461,f12(x15461,x15462,x15463),f12(x15461,x15464,x15465))
% 39.29/39.41 [1547]~P31(x15471)+~P8(x15471,x15473,x15475)+~P8(x15471,x15472,x15474)+P8(x15471,f12(x15471,x15472,x15473),f12(x15471,x15474,x15475))
% 39.29/39.41 [1738]~P45(x17381)+~P8(a61,f19(x17381,x17383),x17385)+~P8(a61,f19(x17381,x17382),x17384)+P8(a61,f19(x17381,f12(x17381,x17382,x17383)),f12(a61,x17384,x17385))
% 39.29/39.41 [1533]~P42(x15331)+~P10(x15331,x15332,x15334)+~P7(a1,x15333,x15335)+P10(x15331,f36(f36(f23(x15331),x15332),x15333),f36(f36(f23(x15331),x15334),x15335))
% 39.29/39.41 [1537]~P42(x15371)+~P10(x15371,x15373,x15375)+~P10(x15371,x15372,x15374)+P10(x15371,f36(f36(f9(x15371),x15372),x15373),f36(f36(f9(x15371),x15374),x15375))
% 39.29/39.41 [1614]~P42(x16141)+~P7(a1,x16143,x16145)+~P10(x16141,f36(f36(f23(x16141),x16142),x16145),x16144)+P10(x16141,f36(f36(f23(x16141),x16142),x16143),x16144)
% 39.29/39.41 [1725]~P43(x17251)+~P8(a61,f19(x17251,x17253),x17255)+~P8(a61,f19(x17251,x17252),x17254)+P8(a61,f19(x17251,f36(f36(f9(x17251),x17252),x17253)),f36(f36(f9(a61),x17254),x17255))
% 39.29/39.41 [1786]~P5(x17861)+~P10(x17861,x17865,x17863)+~P10(x17861,x17864,x17862)+E(f8(x17861,f36(f36(f9(x17861),x17862),x17863),f36(f36(f9(x17861),x17864),x17865)),f36(f36(f9(x17861),f8(x17861,x17862,x17864)),f8(x17861,x17863,x17865)))
% 39.29/39.41 [1789]~P77(x17895)+E(x17891,x17892)+E(x17893,x17894)+~E(f12(x17895,f36(f36(f9(x17895),x17893),x17891),f36(f36(f9(x17895),x17894),x17892)),f12(x17895,f36(f36(f9(x17895),x17893),x17892),f36(f36(f9(x17895),x17894),x17891)))
% 39.29/39.41 [1823]~E(f19(a2,x18231),f10(a61))+P8(a61,f19(a2,f12(a2,x18231,a7)),f10(a61))+P8(a61,f19(a2,f11(a2,x18231,a7)),f10(a61))+P8(a61,f19(a2,f11(a2,x18231,f10(a2))),f10(a61))+P8(a61,f19(a2,f12(a2,x18231,f10(a2))),f10(a61))
% 39.29/39.41 [712]~P58(x7123)+E(x7121,x7122)+~E(f13(x7123,x7121),f13(x7123,x7122))+E(x7122,f4(x7123))+E(x7121,f4(x7123))
% 39.29/39.41 [1266]~P26(x12662)+~P7(x12662,f4(x12662),x12663)+~P7(x12662,f4(x12662),x12661)+~E(f12(x12662,x12663,x12661),f4(x12662))+E(x12661,f4(x12662))
% 39.29/39.41 [1267]~P26(x12672)+~P7(x12672,f4(x12672),x12673)+~P7(x12672,f4(x12672),x12671)+~E(f12(x12672,x12671,x12673),f4(x12672))+E(x12671,f4(x12672))
% 39.29/39.41 [1569]~P54(x15691)+~P7(x15691,x15692,f10(x15691))+~P7(x15691,f4(x15691),x15692)+~P7(x15691,f4(x15691),x15693)+P7(x15691,f36(f36(f9(x15691),x15692),x15693),x15693)
% 39.29/39.41 [1570]~P54(x15701)+~P7(x15701,x15703,f10(x15701))+~P7(x15701,f4(x15701),x15703)+~P7(x15701,f4(x15701),x15702)+P7(x15701,f36(f36(f9(x15701),x15702),x15703),x15702)
% 39.29/39.41 [1150]~P5(x11502)+~P10(x11502,x11501,x11503)+E(x11501,f4(x11502))+E(f8(x11502,x11503,x11501),x11504)+~E(x11503,f36(f36(f9(x11502),x11504),x11501))
% 39.29/39.41 [1151]~P5(x11512)+~P10(x11512,x11511,x11513)+~E(f8(x11512,x11513,x11511),x11514)+E(x11511,f4(x11512))+E(x11513,f36(f36(f9(x11512),x11514),x11511))
% 39.29/39.41 [1666]~P53(x16661)+~P8(x16661,x16662,x16664)+~P7(x16661,f4(x16661),x16662)+~P8(a1,f4(a1),x16663)+P8(x16661,f36(f36(f23(x16661),x16662),x16663),f36(f36(f23(x16661),x16664),x16663))
% 39.29/39.41 [1669]~P53(x16691)+~P7(a1,x16694,x16693)+~P7(x16691,x16692,f10(x16691))+~P7(x16691,f4(x16691),x16692)+P7(x16691,f36(f36(f23(x16691),x16692),x16693),f36(f36(f23(x16691),x16692),x16694))
% 39.29/39.41 [1670]~P53(x16701)+~P8(a1,x16704,x16703)+~P8(x16701,x16702,f10(x16701))+~P8(x16701,f4(x16701),x16702)+P8(x16701,f36(f36(f23(x16701),x16702),x16703),f36(f36(f23(x16701),x16702),x16704))
% 39.29/39.41 [1765]~P53(x17653)+E(x17651,x17652)+~P7(x17653,f4(x17653),x17652)+~P7(x17653,f4(x17653),x17651)+~E(f36(f36(f23(x17653),x17651),f12(a1,x17654,f10(a1))),f36(f36(f23(x17653),x17652),f12(a1,x17654,f10(a1))))
% 39.29/39.41 [1813]~P40(x18131)+~P45(x18134)+~P7(x18131,x18132,x18135)+P7(x18131,x18132,f50(x18133,x18132,x18131,x18134))+P8(a61,f19(x18134,f36(x18133,x18135)),f12(a61,f10(a61),f19(x18134,f36(x18133,x18132))))
% 39.29/39.41 [1766]~P8(a1,x17665,x17661)+E(x17661,f4(a1))+P78(f36(x17662,x17663))+~P78(f36(x17662,f8(a1,x17664,x17661)))+~E(x17664,f12(a1,f36(f36(f9(a1),x17661),x17663),x17665))
% 39.29/39.41 [1833]P7(a59,x18331,x18332)+~P8(a59,x18333,x18334)+~P8(a59,x18333,x18335)+~P7(a59,x18334,f4(a59))+~P7(a59,f12(a59,f36(f36(f9(a59),x18333),x18332),x18335),f12(a59,f36(f36(f9(a59),x18333),x18331),x18334))
% 39.29/39.41 [1834]P7(a59,x18341,x18342)+~P8(a59,x18343,x18344)+~P8(a59,x18345,x18344)+~P7(a59,f4(a59),x18345)+~P7(a59,f12(a59,f36(f36(f9(a59),x18344),x18341),x18345),f12(a59,f36(f36(f9(a59),x18344),x18342),x18343))
% 39.29/39.41 [1872]~P45(x18721)+~P7(x18725,x18724,x18723)+~P40(x18725)+P8(a61,f19(x18721,f36(x18722,x18723)),f12(a61,f10(a61),f19(x18721,f36(x18722,x18724))))+~P8(a61,f19(x18721,f11(x18721,f36(x18722,x18724),f36(x18722,f50(x18722,x18724,x18725,x18721)))),f10(a61))
% 39.29/39.41 [1632]~P77(x16324)+E(x16321,x16322)+~E(x16325,x16326)+E(x16323,f4(x16324))+~E(f12(x16324,x16325,f36(f36(f9(x16324),x16323),x16321)),f12(x16324,x16326,f36(f36(f9(x16324),x16323),x16322)))
% 39.29/39.41 [1229]~P26(x12291)+~P7(x12291,f4(x12291),x12293)+~P7(x12291,f4(x12291),x12292)+~E(x12293,f4(x12291))+~E(x12292,f4(x12291))+E(f12(x12291,x12292,x12293),f4(x12291))
% 39.29/39.41 [888]~P1(x8882)+~P52(x8882)+~P66(x8882)+~P76(x8882)+E(x8881,f4(x8882))+~E(f36(f36(f23(x8882),x8881),x8883),f4(x8882))
% 39.29/39.41 [889]~P1(x8892)+~P52(x8892)+~P66(x8892)+~P76(x8892)+~E(x8891,f4(a1))+~E(f36(f36(f23(x8892),x8893),x8891),f4(x8892))
% 39.29/39.41 [1575]~P53(x15753)+E(x15751,x15752)+~P7(x15753,f4(x15753),x15752)+~P7(x15753,f4(x15753),x15751)+~P8(a1,f4(a1),x15754)+~E(f36(f36(f23(x15753),x15751),x15754),f36(f36(f23(x15753),x15752),x15754))
% 39.29/39.41 [1635]~P8(a59,x16351,x16354)+E(f8(a59,x16352,x16351),x16353)+E(x16351,f4(a59))+P8(a59,f4(a59),x16351)+~P7(a59,x16354,f4(a59))+~E(x16352,f12(a59,f36(f36(f9(a59),x16351),x16353),x16354))
% 39.29/39.41 [1673]~P8(a59,x16734,x16731)+E(f8(a59,x16732,x16731),x16733)+E(x16731,f4(a59))+~P7(a59,f4(a59),x16734)+~P8(a59,f4(a59),x16731)+~E(x16732,f12(a59,f36(f36(f9(a59),x16731),x16733),x16734))
% 39.29/39.41 [1726]~P73(x17261)+~P7(x17261,x17263,x17265)+~P7(x17261,x17262,x17264)+~P7(x17261,f4(x17261),x17263)+~P7(x17261,f4(x17261),x17264)+P7(x17261,f36(f36(f9(x17261),x17262),x17263),f36(f36(f9(x17261),x17264),x17265))
% 39.29/39.41 [1727]~P73(x17271)+~P7(x17271,x17273,x17275)+~P7(x17271,x17272,x17274)+~P7(x17271,f4(x17271),x17273)+~P7(x17271,f4(x17271),x17272)+P7(x17271,f36(f36(f9(x17271),x17272),x17273),f36(f36(f9(x17271),x17274),x17275))
% 39.29/39.41 [1728]~P65(x17281)+~P7(x17281,x17283,x17285)+~P8(x17281,x17282,x17284)+~P7(x17281,f4(x17281),x17282)+~P8(x17281,f4(x17281),x17283)+P8(x17281,f36(f36(f9(x17281),x17282),x17283),f36(f36(f9(x17281),x17284),x17285))
% 39.29/39.41 [1729]~P65(x17291)+~P7(x17291,x17292,x17294)+~P8(x17291,x17293,x17295)+~P7(x17291,f4(x17291),x17293)+~P8(x17291,f4(x17291),x17292)+P8(x17291,f36(f36(f9(x17291),x17292),x17293),f36(f36(f9(x17291),x17294),x17295))
% 39.29/39.41 [1730]~P65(x17301)+~P8(x17301,x17303,x17305)+~P8(x17301,x17302,x17304)+~P7(x17301,f4(x17301),x17303)+~P7(x17301,f4(x17301),x17302)+P8(x17301,f36(f36(f9(x17301),x17302),x17303),f36(f36(f9(x17301),x17304),x17305))
% 39.29/39.41 [1731]~P65(x17311)+~P8(x17311,x17313,x17315)+~P8(x17311,x17312,x17314)+~P7(x17311,f4(x17311),x17313)+~P8(x17311,f4(x17311),x17314)+P8(x17311,f36(f36(f9(x17311),x17312),x17313),f36(f36(f9(x17311),x17314),x17315))
% 39.29/39.41 [1712]~P79(x17121,x17124,x17123)+~P8(a59,x17124,x17125)+~P7(a59,x17125,f4(a59))+~P8(a59,x17124,f4(a59))+P78(f36(x17121,x17122))+~E(x17123,f12(a59,f36(f36(f9(a59),x17124),x17122),x17125))
% 39.29/39.41 [1713]~P79(x17131,x17134,x17133)+~P8(a59,x17135,x17134)+~P7(a59,f4(a59),x17135)+~P8(a59,f4(a59),x17134)+P78(f36(x17131,x17132))+~E(x17133,f12(a59,f36(f36(f9(a59),x17134),x17132),x17135))
% 39.29/39.41 [828]~P1(x8282)+~P52(x8282)+~P66(x8282)+~P76(x8282)+~E(x8283,f4(x8282))+E(x8281,f4(a1))+E(f36(f36(f23(x8282),x8283),x8281),f4(x8282))
% 39.29/39.41 [1724]~P8(a59,x17244,x17241)+~P8(a59,x17241,x17244)+E(f8(a59,x17242,x17241),x17243)+E(x17241,f4(a59))+~P7(a59,x17244,f4(a59))+~P7(a59,f4(a59),x17244)+~E(x17242,f12(a59,f36(f36(f9(a59),x17241),x17243),x17244))
% 39.29/39.41 [1585]~P5(x15852)+~P10(x15852,x15851,x15854)+~P10(x15852,x15853,x15855)+E(f8(x15852,x15854,x15851),f8(x15852,x15855,x15853))+E(x15851,f4(x15852))+E(x15853,f4(x15852))+~E(f36(f36(f9(x15852),x15854),x15853),f36(f36(f9(x15852),x15851),x15855))
% 39.29/39.41 [1588]~P5(x15882)+~P10(x15882,x15881,x15885)+~P10(x15882,x15883,x15884)+~E(f8(x15882,x15884,x15883),f8(x15882,x15885,x15881))+E(x15881,f4(x15882))+E(x15883,f4(x15882))+E(f36(f36(f9(x15882),x15884),x15881),f36(f36(f9(x15882),x15883),x15885))
% 39.29/39.41 [1808]~P63(x18081)+~P7(x18081,x18085,x18086)+~P7(x18081,x18083,x18086)+~P7(x18081,f4(x18081),x18084)+~P7(x18081,f4(x18081),x18082)+~E(f12(x18081,x18082,x18084),f10(x18081))+P7(x18081,f12(x18081,f36(f36(f9(x18081),x18082),x18083),f36(f36(f9(x18081),x18084),x18085)),x18086)
% 39.29/39.41 [1809]~P62(x18091)+~P8(x18091,x18095,x18096)+~P8(x18091,x18093,x18096)+~P7(x18091,f4(x18091),x18094)+~P7(x18091,f4(x18091),x18092)+~E(f12(x18091,x18092,x18094),f10(x18091))+P8(x18091,f12(x18091,f36(f36(f9(x18091),x18092),x18093),f36(f36(f9(x18091),x18094),x18095)),x18096)
% 39.29/39.41 [1837]~P7(a59,x18375,x18373)+~P8(a59,x18376,x18375)+P7(a59,x18371,x18372)+~P7(a59,f4(a59),x18374)+~P8(a59,f4(a59),x18375)+~P7(a59,f4(a59),f12(a59,f36(f36(f9(a59),x18375),x18372),x18376))+~E(f12(a59,f36(f36(f9(a59),x18373),x18371),x18374),f12(a59,f36(f36(f9(a59),x18375),x18372),x18376))
% 39.29/39.41 [1838]~P7(a59,x18385,x18383)+~P8(a59,x18384,x18383)+P7(a59,x18381,x18382)+~P7(a59,f4(a59),x18386)+~P8(a59,f4(a59),x18385)+~P8(a59,f12(a59,f36(f36(f9(a59),x18385),x18381),x18386),f4(a59))+~E(f12(a59,f36(f36(f9(a59),x18383),x18382),x18384),f12(a59,f36(f36(f9(a59),x18385),x18381),x18386))
% 39.29/39.41 %EqnAxiom
% 39.29/39.41 [1]E(x11,x11)
% 39.29/39.41 [2]E(x22,x21)+~E(x21,x22)
% 39.29/39.41 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 39.29/39.41 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 39.29/39.41 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 39.29/39.41 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 39.29/39.41 [7]~E(x71,x72)+E(f13(x71,x73),f13(x72,x73))
% 39.29/39.41 [8]~E(x81,x82)+E(f13(x83,x81),f13(x83,x82))
% 39.29/39.41 [9]~E(x91,x92)+E(f36(x91,x93),f36(x92,x93))
% 39.29/39.41 [10]~E(x101,x102)+E(f36(x103,x101),f36(x103,x102))
% 39.29/39.41 [11]~E(x111,x112)+E(f9(x111),f9(x112))
% 39.29/39.41 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123))
% 39.29/39.41 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132))
% 39.29/39.41 [14]~E(x141,x142)+E(f12(x141,x143,x144),f12(x142,x143,x144))
% 39.29/39.41 [15]~E(x151,x152)+E(f12(x153,x151,x154),f12(x153,x152,x154))
% 39.29/39.41 [16]~E(x161,x162)+E(f12(x163,x164,x161),f12(x163,x164,x162))
% 39.29/39.41 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173))
% 39.29/39.41 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182))
% 39.29/39.41 [19]~E(x191,x192)+E(f10(x191),f10(x192))
% 39.29/39.41 [20]~E(x201,x202)+E(f21(x201,x203,x204),f21(x202,x203,x204))
% 39.29/39.41 [21]~E(x211,x212)+E(f21(x213,x211,x214),f21(x213,x212,x214))
% 39.29/39.41 [22]~E(x221,x222)+E(f21(x223,x224,x221),f21(x223,x224,x222))
% 39.29/39.41 [23]~E(x231,x232)+E(f15(x231,x233,x234),f15(x232,x233,x234))
% 39.29/39.41 [24]~E(x241,x242)+E(f15(x243,x241,x244),f15(x243,x242,x244))
% 39.29/39.41 [25]~E(x251,x252)+E(f15(x253,x254,x251),f15(x253,x254,x252))
% 39.29/39.41 [26]~E(x261,x262)+E(f11(x261,x263,x264),f11(x262,x263,x264))
% 39.29/39.41 [27]~E(x271,x272)+E(f11(x273,x271,x274),f11(x273,x272,x274))
% 39.29/39.41 [28]~E(x281,x282)+E(f11(x283,x284,x281),f11(x283,x284,x282))
% 39.29/39.41 [29]~E(x291,x292)+E(f62(x291),f62(x292))
% 39.29/39.41 [30]~E(x301,x302)+E(f19(x301,x303),f19(x302,x303))
% 39.29/39.41 [31]~E(x311,x312)+E(f19(x313,x311),f19(x313,x312))
% 39.29/39.41 [32]~E(x321,x322)+E(f8(x321,x323,x324),f8(x322,x323,x324))
% 39.29/39.41 [33]~E(x331,x332)+E(f8(x333,x331,x334),f8(x333,x332,x334))
% 39.29/39.41 [34]~E(x341,x342)+E(f8(x343,x344,x341),f8(x343,x344,x342))
% 39.29/39.41 [35]~E(x351,x352)+E(f51(x351,x353,x354),f51(x352,x353,x354))
% 39.29/39.41 [36]~E(x361,x362)+E(f51(x363,x361,x364),f51(x363,x362,x364))
% 39.29/39.41 [37]~E(x371,x372)+E(f51(x373,x374,x371),f51(x373,x374,x372))
% 39.29/39.41 [38]~E(x381,x382)+E(f23(x381),f23(x382))
% 39.29/39.41 [39]~E(x391,x392)+E(f48(x391,x393,x394),f48(x392,x393,x394))
% 39.29/39.41 [40]~E(x401,x402)+E(f48(x403,x401,x404),f48(x403,x402,x404))
% 39.29/39.41 [41]~E(x411,x412)+E(f48(x413,x414,x411),f48(x413,x414,x412))
% 39.29/39.41 [42]~E(x421,x422)+E(f40(x421),f40(x422))
% 39.29/39.41 [43]~E(x431,x432)+E(f49(x431,x433,x434),f49(x432,x433,x434))
% 39.29/39.41 [44]~E(x441,x442)+E(f49(x443,x441,x444),f49(x443,x442,x444))
% 39.29/39.41 [45]~E(x451,x452)+E(f49(x453,x454,x451),f49(x453,x454,x452))
% 39.29/39.41 [46]~E(x461,x462)+E(f14(x461,x463),f14(x462,x463))
% 39.29/39.41 [47]~E(x471,x472)+E(f14(x473,x471),f14(x473,x472))
% 39.29/39.41 [48]~E(x481,x482)+E(f31(x481,x483,x484),f31(x482,x483,x484))
% 39.29/39.41 [49]~E(x491,x492)+E(f31(x493,x491,x494),f31(x493,x492,x494))
% 39.29/39.41 [50]~E(x501,x502)+E(f31(x503,x504,x501),f31(x503,x504,x502))
% 39.29/39.41 [51]~E(x511,x512)+E(f29(x511,x513,x514),f29(x512,x513,x514))
% 39.29/39.41 [52]~E(x521,x522)+E(f29(x523,x521,x524),f29(x523,x522,x524))
% 39.29/39.41 [53]~E(x531,x532)+E(f29(x533,x534,x531),f29(x533,x534,x532))
% 39.29/39.41 [54]~E(x541,x542)+E(f22(x541,x543,x544),f22(x542,x543,x544))
% 39.29/39.41 [55]~E(x551,x552)+E(f22(x553,x551,x554),f22(x553,x552,x554))
% 39.29/39.41 [56]~E(x561,x562)+E(f22(x563,x564,x561),f22(x563,x564,x562))
% 39.29/39.41 [57]~E(x571,x572)+E(f66(x571,x573),f66(x572,x573))
% 39.29/39.41 [58]~E(x581,x582)+E(f66(x583,x581),f66(x583,x582))
% 39.29/39.41 [59]~E(x591,x592)+E(f55(x591,x593,x594),f55(x592,x593,x594))
% 39.29/39.41 [60]~E(x601,x602)+E(f55(x603,x601,x604),f55(x603,x602,x604))
% 39.29/39.41 [61]~E(x611,x612)+E(f55(x613,x614,x611),f55(x613,x614,x612))
% 39.29/39.41 [62]~E(x621,x622)+E(f52(x621,x623,x624),f52(x622,x623,x624))
% 39.29/39.41 [63]~E(x631,x632)+E(f52(x633,x631,x634),f52(x633,x632,x634))
% 39.29/39.41 [64]~E(x641,x642)+E(f52(x643,x644,x641),f52(x643,x644,x642))
% 39.29/39.41 [65]~E(x651,x652)+E(f42(x651,x653),f42(x652,x653))
% 39.29/39.41 [66]~E(x661,x662)+E(f42(x663,x661),f42(x663,x662))
% 39.29/39.41 [67]~E(x671,x672)+E(f17(x671,x673,x674),f17(x672,x673,x674))
% 39.29/39.41 [68]~E(x681,x682)+E(f17(x683,x681,x684),f17(x683,x682,x684))
% 39.29/39.41 [69]~E(x691,x692)+E(f17(x693,x694,x691),f17(x693,x694,x692))
% 39.29/39.41 [70]~E(x701,x702)+E(f41(x701,x703),f41(x702,x703))
% 39.29/39.41 [71]~E(x711,x712)+E(f41(x713,x711),f41(x713,x712))
% 39.29/39.41 [72]~E(x721,x722)+E(f56(x721,x723,x724),f56(x722,x723,x724))
% 39.29/39.41 [73]~E(x731,x732)+E(f56(x733,x731,x734),f56(x733,x732,x734))
% 39.29/39.41 [74]~E(x741,x742)+E(f56(x743,x744,x741),f56(x743,x744,x742))
% 39.29/39.41 [75]~E(x751,x752)+E(f30(x751,x753,x754),f30(x752,x753,x754))
% 39.29/39.41 [76]~E(x761,x762)+E(f30(x763,x761,x764),f30(x763,x762,x764))
% 39.29/39.41 [77]~E(x771,x772)+E(f30(x773,x774,x771),f30(x773,x774,x772))
% 39.29/39.41 [78]~E(x781,x782)+E(f18(x781,x783,x784),f18(x782,x783,x784))
% 39.29/39.41 [79]~E(x791,x792)+E(f18(x793,x791,x794),f18(x793,x792,x794))
% 39.29/39.41 [80]~E(x801,x802)+E(f18(x803,x804,x801),f18(x803,x804,x802))
% 39.29/39.41 [81]~E(x811,x812)+E(f50(x811,x813,x814,x815),f50(x812,x813,x814,x815))
% 39.29/39.41 [82]~E(x821,x822)+E(f50(x823,x821,x824,x825),f50(x823,x822,x824,x825))
% 39.29/39.41 [83]~E(x831,x832)+E(f50(x833,x834,x831,x835),f50(x833,x834,x832,x835))
% 39.29/39.41 [84]~E(x841,x842)+E(f50(x843,x844,x845,x841),f50(x843,x844,x845,x842))
% 39.29/39.41 [85]~E(x851,x852)+E(f28(x851),f28(x852))
% 39.29/39.41 [86]~E(x861,x862)+E(f20(x861,x863,x864),f20(x862,x863,x864))
% 39.29/39.41 [87]~E(x871,x872)+E(f20(x873,x871,x874),f20(x873,x872,x874))
% 39.29/39.41 [88]~E(x881,x882)+E(f20(x883,x884,x881),f20(x883,x884,x882))
% 39.29/39.41 [89]~E(x891,x892)+E(f26(x891,x893),f26(x892,x893))
% 39.29/39.41 [90]~E(x901,x902)+E(f26(x903,x901),f26(x903,x902))
% 39.29/39.41 [91]~E(x911,x912)+E(f58(x911,x913,x914,x915),f58(x912,x913,x914,x915))
% 39.29/39.41 [92]~E(x921,x922)+E(f58(x923,x921,x924,x925),f58(x923,x922,x924,x925))
% 39.29/39.41 [93]~E(x931,x932)+E(f58(x933,x934,x931,x935),f58(x933,x934,x932,x935))
% 39.29/39.41 [94]~E(x941,x942)+E(f58(x943,x944,x945,x941),f58(x943,x944,x945,x942))
% 39.29/39.41 [95]~E(x951,x952)+E(f53(x951,x953),f53(x952,x953))
% 39.29/39.41 [96]~E(x961,x962)+E(f53(x963,x961),f53(x963,x962))
% 39.29/39.41 [97]~E(x971,x972)+E(f16(x971,x973),f16(x972,x973))
% 39.29/39.41 [98]~E(x981,x982)+E(f16(x983,x981),f16(x983,x982))
% 39.29/39.41 [99]~E(x991,x992)+E(f35(x991,x993),f35(x992,x993))
% 39.29/39.41 [100]~E(x1001,x1002)+E(f35(x1003,x1001),f35(x1003,x1002))
% 39.29/39.41 [101]~E(x1011,x1012)+E(f34(x1011,x1013),f34(x1012,x1013))
% 39.29/39.41 [102]~E(x1021,x1022)+E(f34(x1023,x1021),f34(x1023,x1022))
% 39.29/39.41 [103]~E(x1031,x1032)+E(f27(x1031),f27(x1032))
% 39.29/39.41 [104]~E(x1041,x1042)+E(f46(x1041),f46(x1042))
% 39.29/39.41 [105]~E(x1051,x1052)+E(f54(x1051,x1053),f54(x1052,x1053))
% 39.29/39.41 [106]~E(x1061,x1062)+E(f54(x1063,x1061),f54(x1063,x1062))
% 39.29/39.41 [107]~E(x1071,x1072)+E(f25(x1071),f25(x1072))
% 39.29/39.41 [108]~E(x1081,x1082)+E(f47(x1081,x1083),f47(x1082,x1083))
% 39.29/39.41 [109]~E(x1091,x1092)+E(f47(x1093,x1091),f47(x1093,x1092))
% 39.29/39.41 [110]~E(x1101,x1102)+E(f57(x1101,x1103),f57(x1102,x1103))
% 39.29/39.41 [111]~E(x1111,x1112)+E(f57(x1113,x1111),f57(x1113,x1112))
% 39.29/39.41 [112]~P1(x1121)+P1(x1122)+~E(x1121,x1122)
% 39.29/39.41 [113]P8(x1132,x1133,x1134)+~E(x1131,x1132)+~P8(x1131,x1133,x1134)
% 39.29/39.41 [114]P8(x1143,x1142,x1144)+~E(x1141,x1142)+~P8(x1143,x1141,x1144)
% 39.29/39.41 [115]P8(x1153,x1154,x1152)+~E(x1151,x1152)+~P8(x1153,x1154,x1151)
% 39.29/39.41 [116]P7(x1162,x1163,x1164)+~E(x1161,x1162)+~P7(x1161,x1163,x1164)
% 39.29/39.41 [117]P7(x1173,x1172,x1174)+~E(x1171,x1172)+~P7(x1173,x1171,x1174)
% 39.29/39.41 [118]P7(x1183,x1184,x1182)+~E(x1181,x1182)+~P7(x1183,x1184,x1181)
% 39.29/39.41 [119]~P45(x1191)+P45(x1192)+~E(x1191,x1192)
% 39.29/39.41 [120]~P42(x1201)+P42(x1202)+~E(x1201,x1202)
% 39.29/39.41 [121]~P26(x1211)+P26(x1212)+~E(x1211,x1212)
% 39.29/39.41 [122]P79(x1222,x1223,x1224)+~E(x1221,x1222)+~P79(x1221,x1223,x1224)
% 39.29/39.41 [123]P79(x1233,x1232,x1234)+~E(x1231,x1232)+~P79(x1233,x1231,x1234)
% 39.29/39.41 [124]P79(x1243,x1244,x1242)+~E(x1241,x1242)+~P79(x1243,x1244,x1241)
% 39.29/39.41 [125]~P12(x1251)+P12(x1252)+~E(x1251,x1252)
% 39.29/39.41 [126]~P2(x1261)+P2(x1262)+~E(x1261,x1262)
% 39.29/39.41 [127]~P41(x1271)+P41(x1272)+~E(x1271,x1272)
% 39.29/39.41 [128]~P78(x1281)+P78(x1282)+~E(x1281,x1282)
% 39.29/39.41 [129]P10(x1292,x1293,x1294)+~E(x1291,x1292)+~P10(x1291,x1293,x1294)
% 39.29/39.41 [130]P10(x1303,x1302,x1304)+~E(x1301,x1302)+~P10(x1303,x1301,x1304)
% 39.29/39.41 [131]P10(x1313,x1314,x1312)+~E(x1311,x1312)+~P10(x1313,x1314,x1311)
% 39.29/39.41 [132]~P51(x1321)+P51(x1322)+~E(x1321,x1322)
% 39.29/39.41 [133]~P14(x1331)+P14(x1332)+~E(x1331,x1332)
% 39.29/39.41 [134]~P35(x1341)+P35(x1342)+~E(x1341,x1342)
% 39.29/39.41 [135]~P43(x1351)+P43(x1352)+~E(x1351,x1352)
% 39.29/39.41 [136]~P52(x1361)+P52(x1362)+~E(x1361,x1362)
% 39.29/39.41 [137]~P72(x1371)+P72(x1372)+~E(x1371,x1372)
% 39.29/39.41 [138]~P56(x1381)+P56(x1382)+~E(x1381,x1382)
% 39.29/39.41 [139]~P34(x1391)+P34(x1392)+~E(x1391,x1392)
% 39.29/39.41 [140]~P66(x1401)+P66(x1402)+~E(x1401,x1402)
% 39.29/39.41 [141]~P30(x1411)+P30(x1412)+~E(x1411,x1412)
% 39.29/39.41 [142]~P53(x1421)+P53(x1422)+~E(x1421,x1422)
% 39.29/39.41 [143]~P69(x1431)+P69(x1432)+~E(x1431,x1432)
% 39.29/39.41 [144]~P76(x1441)+P76(x1442)+~E(x1441,x1442)
% 39.29/39.41 [145]~P5(x1451)+P5(x1452)+~E(x1451,x1452)
% 39.29/39.41 [146]~P28(x1461)+P28(x1462)+~E(x1461,x1462)
% 39.29/39.41 [147]~P73(x1471)+P73(x1472)+~E(x1471,x1472)
% 39.29/39.41 [148]~P67(x1481)+P67(x1482)+~E(x1481,x1482)
% 39.29/39.41 [149]~P60(x1491)+P60(x1492)+~E(x1491,x1492)
% 39.29/39.41 [150]~P17(x1501)+P17(x1502)+~E(x1501,x1502)
% 39.29/39.41 [151]~P3(x1511)+P3(x1512)+~E(x1511,x1512)
% 39.29/39.41 [152]~P44(x1521)+P44(x1522)+~E(x1521,x1522)
% 39.29/39.41 [153]~P4(x1531)+P4(x1532)+~E(x1531,x1532)
% 39.29/39.41 [154]~P48(x1541)+P48(x1542)+~E(x1541,x1542)
% 39.29/39.41 [155]~P65(x1551)+P65(x1552)+~E(x1551,x1552)
% 39.29/39.41 [156]~P47(x1561)+P47(x1562)+~E(x1561,x1562)
% 39.29/39.41 [157]~P21(x1571)+P21(x1572)+~E(x1571,x1572)
% 39.29/39.41 [158]~P74(x1581)+P74(x1582)+~E(x1581,x1582)
% 39.29/39.41 [159]~P27(x1591)+P27(x1592)+~E(x1591,x1592)
% 39.29/39.41 [160]~P58(x1601)+P58(x1602)+~E(x1601,x1602)
% 39.29/39.41 [161]~P22(x1611)+P22(x1612)+~E(x1611,x1612)
% 39.29/39.41 [162]~P50(x1621)+P50(x1622)+~E(x1621,x1622)
% 39.29/39.41 [163]~P23(x1631)+P23(x1632)+~E(x1631,x1632)
% 39.29/39.41 [164]~P37(x1641)+P37(x1642)+~E(x1641,x1642)
% 39.29/39.41 [165]~P33(x1651)+P33(x1652)+~E(x1651,x1652)
% 39.29/39.41 [166]~P25(x1661)+P25(x1662)+~E(x1661,x1662)
% 39.29/39.41 [167]~P36(x1671)+P36(x1672)+~E(x1671,x1672)
% 39.29/39.41 [168]~P77(x1681)+P77(x1682)+~E(x1681,x1682)
% 39.29/39.41 [169]~P54(x1691)+P54(x1692)+~E(x1691,x1692)
% 39.29/39.41 [170]~P15(x1701)+P15(x1702)+~E(x1701,x1702)
% 39.29/39.41 [171]~P40(x1711)+P40(x1712)+~E(x1711,x1712)
% 39.29/39.41 [172]P9(x1722,x1723,x1724)+~E(x1721,x1722)+~P9(x1721,x1723,x1724)
% 39.29/39.41 [173]P9(x1733,x1732,x1734)+~E(x1731,x1732)+~P9(x1733,x1731,x1734)
% 39.29/39.41 [174]P9(x1743,x1744,x1742)+~E(x1741,x1742)+~P9(x1743,x1744,x1741)
% 39.29/39.41 [175]~P20(x1751)+P20(x1752)+~E(x1751,x1752)
% 39.29/39.41 [176]~P70(x1761)+P70(x1762)+~E(x1761,x1762)
% 39.29/39.41 [177]~P19(x1771)+P19(x1772)+~E(x1771,x1772)
% 39.29/39.41 [178]~P75(x1781)+P75(x1782)+~E(x1781,x1782)
% 39.29/39.41 [179]~P57(x1791)+P57(x1792)+~E(x1791,x1792)
% 39.29/39.41 [180]~P11(x1801)+P11(x1802)+~E(x1801,x1802)
% 39.29/39.41 [181]~P38(x1811)+P38(x1812)+~E(x1811,x1812)
% 39.29/39.41 [182]~P68(x1821)+P68(x1822)+~E(x1821,x1822)
% 39.29/39.41 [183]~P46(x1831)+P46(x1832)+~E(x1831,x1832)
% 39.29/39.41 [184]~P61(x1841)+P61(x1842)+~E(x1841,x1842)
% 39.29/39.41 [185]~P6(x1851)+P6(x1852)+~E(x1851,x1852)
% 39.29/39.41 [186]~P31(x1861)+P31(x1862)+~E(x1861,x1862)
% 39.29/39.41 [187]~P13(x1871)+P13(x1872)+~E(x1871,x1872)
% 39.29/39.41 [188]~P59(x1881)+P59(x1882)+~E(x1881,x1882)
% 39.29/39.41 [189]~P39(x1891)+P39(x1892)+~E(x1891,x1892)
% 39.29/39.41 [190]~P32(x1901)+P32(x1902)+~E(x1901,x1902)
% 39.29/39.41 [191]~P64(x1911)+P64(x1912)+~E(x1911,x1912)
% 39.29/39.41 [192]~P62(x1921)+P62(x1922)+~E(x1921,x1922)
% 39.29/39.41 [193]~P24(x1931)+P24(x1932)+~E(x1931,x1932)
% 39.29/39.41 [194]~P49(x1941)+P49(x1942)+~E(x1941,x1942)
% 39.29/39.41 [195]~P71(x1951)+P71(x1952)+~E(x1951,x1952)
% 39.29/39.41 [196]~P63(x1961)+P63(x1962)+~E(x1961,x1962)
% 39.29/39.41 [197]~P16(x1971)+P16(x1972)+~E(x1971,x1972)
% 39.29/39.41 [198]~P29(x1981)+P29(x1982)+~E(x1981,x1982)
% 39.29/39.41 [199]~P55(x1991)+P55(x1992)+~E(x1991,x1992)
% 39.29/39.41 [200]~P18(x2001)+P18(x2002)+~E(x2001,x2002)
% 39.29/39.41
% 39.29/39.41 %-------------------------------------------
% 39.68/39.49 cnf(1873,plain,
% 39.68/39.49 (E(f6(a2,a63),f6(a2,a32))),
% 39.68/39.49 inference(scs_inference,[],[426,2])).
% 39.68/39.49 cnf(1874,plain,
% 39.68/39.49 (~P8(a59,x18741,x18741)),
% 39.68/39.49 inference(scs_inference,[],[355,426,2,814])).
% 39.68/39.49 cnf(1876,plain,
% 39.68/39.49 (~E(f4(a59),f10(a59))),
% 39.68/39.49 inference(scs_inference,[],[355,426,452,2,814,788])).
% 39.68/39.49 cnf(1878,plain,
% 39.68/39.49 (~E(x18781,f12(a1,x18781,f10(a1)))),
% 39.68/39.49 inference(scs_inference,[],[355,426,452,480,2,814,788,787])).
% 39.68/39.49 cnf(1881,plain,
% 39.68/39.49 (E(f3(a59,x18811),x18811)),
% 39.68/39.49 inference(rename_variables,[],[421])).
% 39.68/39.49 cnf(1883,plain,
% 39.68/39.49 (~P7(a59,f10(a59),f4(a59))),
% 39.68/39.49 inference(scs_inference,[],[355,426,452,421,480,2,814,788,787,799,927])).
% 39.68/39.49 cnf(1886,plain,
% 39.68/39.49 (P7(a1,f8(a1,x18861,x18862),x18861)),
% 39.68/39.49 inference(rename_variables,[],[476])).
% 39.68/39.49 cnf(1889,plain,
% 39.68/39.49 (~P8(a1,f12(a1,x18891,x18892),x18892)),
% 39.68/39.49 inference(rename_variables,[],[575])).
% 39.68/39.49 cnf(1894,plain,
% 39.68/39.49 (P7(a1,x18941,f12(a1,x18942,x18941))),
% 39.68/39.49 inference(rename_variables,[],[473])).
% 39.68/39.49 cnf(1896,plain,
% 39.68/39.49 (~P8(a1,x18961,f11(a1,x18961,x18962))),
% 39.68/39.49 inference(scs_inference,[],[355,426,452,534,421,473,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365])).
% 39.68/39.49 cnf(1898,plain,
% 39.68/39.49 (P8(a59,x18981,f12(a59,x18981,f10(a59)))),
% 39.68/39.49 inference(scs_inference,[],[433,355,426,452,534,421,473,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294])).
% 39.68/39.49 cnf(1899,plain,
% 39.68/39.49 (P7(a59,x18991,x18991)),
% 39.68/39.49 inference(rename_variables,[],[433])).
% 39.68/39.49 cnf(1901,plain,
% 39.68/39.49 (P8(a1,x19011,f12(a1,x19012,f12(a1,x19011,f10(a1))))),
% 39.68/39.49 inference(scs_inference,[],[433,355,426,452,534,421,473,1894,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292])).
% 39.68/39.49 cnf(1902,plain,
% 39.68/39.49 (P7(a1,x19021,f12(a1,x19022,x19021))),
% 39.68/39.49 inference(rename_variables,[],[473])).
% 39.68/39.49 cnf(1904,plain,
% 39.68/39.49 (P8(a59,f11(a59,x19041,f10(a59)),x19041)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,534,421,473,1894,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288])).
% 39.68/39.49 cnf(1905,plain,
% 39.68/39.49 (P7(a59,x19051,x19051)),
% 39.68/39.49 inference(rename_variables,[],[433])).
% 39.68/39.49 cnf(1907,plain,
% 39.68/39.49 (P7(a59,f11(a59,f12(a59,x19071,f10(a59)),f10(a59)),x19071)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,534,421,473,1894,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287])).
% 39.68/39.49 cnf(1911,plain,
% 39.68/39.49 (P8(a1,a67,f6(a2,a63))),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,421,473,1894,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275])).
% 39.68/39.49 cnf(1913,plain,
% 39.68/39.49 (P7(a1,x19131,f12(a1,x19132,f12(a1,x19131,x19133)))),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,421,473,1894,1902,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274])).
% 39.68/39.49 cnf(1914,plain,
% 39.68/39.49 (P7(a1,x19141,f12(a1,x19142,x19141))),
% 39.68/39.49 inference(rename_variables,[],[473])).
% 39.68/39.49 cnf(1916,plain,
% 39.68/39.49 (P7(a1,x19161,f12(a1,x19162,f12(a1,x19163,x19161)))),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,421,473,1894,1902,1914,476,575,480,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273])).
% 39.68/39.49 cnf(1917,plain,
% 39.68/39.49 (P7(a1,x19171,f12(a1,x19172,x19171))),
% 39.68/39.49 inference(rename_variables,[],[473])).
% 39.68/39.49 cnf(1920,plain,
% 39.68/39.49 (~P8(a1,f12(a1,x19201,x19202),x19201)),
% 39.68/39.49 inference(rename_variables,[],[576])).
% 39.68/39.49 cnf(1925,plain,
% 39.68/39.49 (~P8(a1,f12(a1,x19251,x19252),x19252)),
% 39.68/39.49 inference(rename_variables,[],[575])).
% 39.68/39.49 cnf(1928,plain,
% 39.68/39.49 (~P8(a1,f12(a1,x19281,x19282),x19282)),
% 39.68/39.49 inference(rename_variables,[],[575])).
% 39.68/39.49 cnf(1931,plain,
% 39.68/39.49 (~P7(a1,f12(a1,x19311,f10(a1)),x19311)),
% 39.68/39.49 inference(rename_variables,[],[577])).
% 39.68/39.49 cnf(1934,plain,
% 39.68/39.49 (~P7(a1,f12(a1,x19341,f10(a1)),x19341)),
% 39.68/39.49 inference(rename_variables,[],[577])).
% 39.68/39.49 cnf(1937,plain,
% 39.68/39.49 (~P8(a1,f12(a1,x19371,x19372),x19371)),
% 39.68/39.49 inference(rename_variables,[],[576])).
% 39.68/39.49 cnf(1939,plain,
% 39.68/39.49 (~E(f12(a1,x19391,f12(a1,x19392,f10(a1))),x19392)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,421,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962])).
% 39.68/39.49 cnf(1940,plain,
% 39.68/39.49 (~P8(a1,f12(a1,x19401,x19402),x19402)),
% 39.68/39.49 inference(rename_variables,[],[575])).
% 39.68/39.49 cnf(1944,plain,
% 39.68/39.49 (~E(f12(a1,x19441,f12(a1,f4(a1),f10(a1))),x19441)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,421,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,563,494,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792])).
% 39.68/39.49 cnf(1945,plain,
% 39.68/39.49 (~E(f12(a1,x19451,f10(a1)),x19451)),
% 39.68/39.49 inference(rename_variables,[],[563])).
% 39.68/39.49 cnf(1948,plain,
% 39.68/39.49 (E(f3(a59,x19481),x19481)),
% 39.68/39.49 inference(rename_variables,[],[421])).
% 39.68/39.49 cnf(1953,plain,
% 39.68/39.49 (~E(f12(a1,f12(a1,x19531,x19532),f10(a1)),x19532)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,563,494,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16])).
% 39.68/39.49 cnf(1959,plain,
% 39.68/39.49 (~P21(a1)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,563,494,569,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970])).
% 39.68/39.49 cnf(1960,plain,
% 39.68/39.49 (~E(f12(a1,x19601,f10(a1)),f4(a1))),
% 39.68/39.49 inference(rename_variables,[],[569])).
% 39.68/39.49 cnf(1962,plain,
% 39.68/39.49 (P7(a1,f12(a1,f4(a1),x19621),x19621)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,477,563,494,569,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919])).
% 39.68/39.49 cnf(1963,plain,
% 39.68/39.49 (E(f11(a1,f12(a1,x19631,x19632),x19632),x19631)),
% 39.68/39.49 inference(rename_variables,[],[477])).
% 39.68/39.49 cnf(1969,plain,
% 39.68/39.49 (~P7(a1,f10(a1),f4(a1))),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,477,563,494,569,1960,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173])).
% 39.68/39.49 cnf(1970,plain,
% 39.68/39.49 (~E(f12(a1,x19701,f10(a1)),f4(a1))),
% 39.68/39.49 inference(rename_variables,[],[569])).
% 39.68/39.49 cnf(1972,plain,
% 39.68/39.49 (~P4(a1)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810])).
% 39.68/39.49 cnf(1973,plain,
% 39.68/39.49 (~E(f12(a1,x19731,f10(a1)),f4(a1))),
% 39.68/39.49 inference(rename_variables,[],[569])).
% 39.68/39.49 cnf(1975,plain,
% 39.68/39.49 (~P8(a1,x19751,f11(a1,f12(a1,x19751,x19752),x19752))),
% 39.68/39.49 inference(scs_inference,[],[433,1899,558,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479])).
% 39.68/39.49 cnf(1976,plain,
% 39.68/39.49 (~P8(a1,x19761,x19761)),
% 39.68/39.49 inference(rename_variables,[],[558])).
% 39.68/39.49 cnf(1978,plain,
% 39.68/39.49 (~P8(a1,f12(a1,f11(a1,x19781,x19782),x19782),x19781)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,558,1976,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477])).
% 39.68/39.49 cnf(1979,plain,
% 39.68/39.49 (~P8(a1,x19791,x19791)),
% 39.68/39.49 inference(rename_variables,[],[558])).
% 39.68/39.49 cnf(1981,plain,
% 39.68/39.49 (~P7(a1,f11(a1,f12(a1,f12(a1,x19811,x19812),f10(a1)),x19812),x19811)),
% 39.68/39.49 inference(scs_inference,[],[433,1899,558,1976,355,426,452,487,534,580,421,1881,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476])).
% 39.68/39.49 cnf(1982,plain,
% 39.68/39.49 (~P7(a1,f12(a1,x19821,f10(a1)),x19821)),
% 39.68/39.49 inference(rename_variables,[],[577])).
% 39.68/39.49 cnf(1984,plain,
% 39.68/39.49 (~P21(f3(a59,a1))),
% 39.68/39.49 inference(scs_inference,[],[433,1899,558,1976,355,426,452,487,534,580,421,1881,1948,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157])).
% 39.68/39.49 cnf(1985,plain,
% 39.68/39.50 (E(f3(a59,x19851),x19851)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(1986,plain,
% 39.68/39.50 (~P4(f3(a59,a1))),
% 39.68/39.50 inference(scs_inference,[],[433,1899,558,1976,355,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153])).
% 39.68/39.50 cnf(1987,plain,
% 39.68/39.50 (E(f3(a59,x19871),x19871)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(1989,plain,
% 39.68/39.50 (P7(a61,x19891,x19891)),
% 39.68/39.50 inference(rename_variables,[],[434])).
% 39.68/39.50 cnf(1990,plain,
% 39.68/39.50 (~E(f4(a1),f12(a1,x19901,f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,558,1976,355,441,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117])).
% 39.68/39.50 cnf(1991,plain,
% 39.68/39.50 (P7(a1,f4(a1),x19911)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(1992,plain,
% 39.68/39.50 (~E(f6(a2,a63),f12(a1,a67,f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,558,1976,1979,355,441,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115])).
% 39.68/39.50 cnf(1993,plain,
% 39.68/39.50 (~P8(a1,x19931,x19931)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(1994,plain,
% 39.68/39.50 (~E(x19941,f12(a1,f12(a1,x19942,x19941),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,558,1976,1979,1993,355,441,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114])).
% 39.68/39.50 cnf(1995,plain,
% 39.68/39.50 (~P8(a1,x19951,x19951)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(1997,plain,
% 39.68/39.50 (~E(f12(a1,x19971,f10(a1)),x19971)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(1998,plain,
% 39.68/39.50 (~P8(a1,f6(a2,a63),f12(a1,a67,f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,558,1976,1979,1993,355,365,441,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995])).
% 39.68/39.50 cnf(2000,plain,
% 39.68/39.50 (~P8(a59,f10(a59),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,558,1976,1979,1993,355,359,365,441,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994])).
% 39.68/39.50 cnf(2002,plain,
% 39.68/39.50 (~P8(a61,x20021,x20021)),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,355,359,360,365,441,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993])).
% 39.68/39.50 cnf(2005,plain,
% 39.68/39.50 (P7(a1,f11(a1,x20051,x20052),x20051)),
% 39.68/39.50 inference(rename_variables,[],[475])).
% 39.68/39.50 cnf(2006,plain,
% 39.68/39.50 (P7(a1,f4(a1),x20061)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2013,plain,
% 39.68/39.50 (P7(a1,f4(a1),x20131)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2016,plain,
% 39.68/39.50 (~P8(a1,x20161,f4(a1))),
% 39.68/39.50 inference(rename_variables,[],[561])).
% 39.68/39.50 cnf(2022,plain,
% 39.68/39.50 (~E(f12(a1,f12(a1,x20221,f10(a1)),x20222),x20221)),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,354,355,358,359,360,365,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716])).
% 39.68/39.50 cnf(2024,plain,
% 39.68/39.50 (~E(f12(a1,f12(a1,x20241,x20242),f10(a1)),x20241)),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,354,355,358,359,360,365,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714])).
% 39.68/39.50 cnf(2026,plain,
% 39.68/39.50 (~P8(a1,f6(a2,a63),f12(a1,f12(a1,a67,f10(a1)),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,354,355,358,359,360,365,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338])).
% 39.68/39.50 cnf(2027,plain,
% 39.68/39.50 (~P8(a1,x20271,x20271)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2029,plain,
% 39.68/39.50 (E(x20291,f12(a1,f4(a1),x20291))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,354,355,358,359,360,365,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,577,1931,1934,1982,477,563,1945,518,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370])).
% 39.68/39.50 cnf(2030,plain,
% 39.68/39.50 (P8(a1,x20301,f12(a1,f12(a1,x20302,x20301),f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[518])).
% 39.68/39.50 cnf(2033,plain,
% 39.68/39.50 (P8(a1,x20331,f12(a1,x20331,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2037,plain,
% 39.68/39.50 (P8(a1,f8(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f12(a1,x20371,f10(a1)),f10(a1))),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,354,355,358,359,360,365,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,577,1931,1934,1982,477,563,1945,518,2030,494,569,1960,1970,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349])).
% 39.68/39.50 cnf(2038,plain,
% 39.68/39.50 (P8(a1,x20381,f12(a1,x20381,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2039,plain,
% 39.68/39.50 (P8(a1,x20391,f12(a1,f12(a1,x20392,x20391),f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[518])).
% 39.68/39.50 cnf(2042,plain,
% 39.68/39.50 (P8(a1,x20421,f12(a1,x20421,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2044,plain,
% 39.68/39.50 (~E(f10(a1),f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,354,355,358,359,360,365,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,577,1931,1934,1982,477,563,1945,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723])).
% 39.68/39.50 cnf(2045,plain,
% 39.68/39.50 (~E(f12(a1,x20451,f10(a1)),f4(a1))),
% 39.68/39.50 inference(rename_variables,[],[569])).
% 39.68/39.50 cnf(2046,plain,
% 39.68/39.50 (E(f3(a59,x20461),x20461)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2049,plain,
% 39.68/39.50 (P8(a1,x20491,f12(a1,x20491,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2050,plain,
% 39.68/39.50 (~P8(a1,x20501,x20501)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2052,plain,
% 39.68/39.50 (P10(a2,x20521,f36(f36(f9(a2),x20522),f36(f36(f23(a2),x20522),f11(a1,a67,f12(a1,f4(a1),f10(a1))))))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,2027,354,355,358,359,360,365,414,441,1991,2006,561,426,452,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,577,1931,1934,1982,477,563,1945,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928])).
% 39.68/39.50 cnf(2057,plain,
% 39.68/39.50 (E(f12(a1,f4(a1),x20571),x20571)),
% 39.68/39.50 inference(rename_variables,[],[445])).
% 39.68/39.50 cnf(2058,plain,
% 39.68/39.50 (P8(a1,x20581,f12(a1,x20581,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2060,plain,
% 39.68/39.50 (~P10(a59,f4(a59),f10(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,354,355,358,359,360,365,414,441,1991,2006,561,426,452,552,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,577,1931,1934,1982,477,445,563,1945,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850])).
% 39.68/39.50 cnf(2062,plain,
% 39.68/39.50 (P8(a1,f54(f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,354,355,358,359,360,365,414,441,1991,2006,561,426,452,552,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364])).
% 39.68/39.50 cnf(2063,plain,
% 39.68/39.50 (P8(a1,x20631,f12(a1,x20631,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2064,plain,
% 39.68/39.50 (~E(f12(a1,x20641,f10(a1)),x20641)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2066,plain,
% 39.68/39.50 (~P8(a1,x20661,f12(a1,f11(a1,x20661,x20661),x20661))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,354,355,358,359,360,365,414,441,1991,2006,561,426,452,552,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521])).
% 39.68/39.50 cnf(2072,plain,
% 39.68/39.50 (~P7(a59,f10(a59),f5(a59,f10(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,266,290,354,355,358,359,360,365,414,441,1991,2006,561,426,452,552,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042])).
% 39.68/39.50 cnf(2074,plain,
% 39.68/39.50 (~E(f12(a59,x20741,f10(a59)),x20741)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,266,290,319,354,355,358,359,360,365,414,441,1991,2006,561,426,452,552,487,534,580,421,1881,1948,1985,1987,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836])).
% 39.68/39.50 cnf(2077,plain,
% 39.68/39.50 (~E(f12(a1,x20771,f10(a1)),x20771)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2080,plain,
% 39.68/39.50 (E(f3(a59,x20801),x20801)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2084,plain,
% 39.68/39.50 (P7(a59,f12(a59,f4(a59),f10(a59)),f10(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,247,266,290,319,337,354,355,358,359,360,365,414,441,1991,2006,561,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,2064,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318])).
% 39.68/39.50 cnf(2086,plain,
% 39.68/39.50 (~P30(a1)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,247,266,290,319,337,354,355,358,359,360,365,414,441,1991,2006,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,2064,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211])).
% 39.68/39.50 cnf(2087,plain,
% 39.68/39.50 (~P8(a1,x20871,f4(a1))),
% 39.68/39.50 inference(rename_variables,[],[561])).
% 39.68/39.50 cnf(2089,plain,
% 39.68/39.50 (~P8(a61,f5(a61,f5(a61,x20891)),x20891)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,247,266,290,319,337,338,354,355,358,359,360,365,414,441,1991,2006,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,2064,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094])).
% 39.68/39.50 cnf(2091,plain,
% 39.68/39.50 (~P8(a61,x20911,f5(a61,f5(a61,x20911)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,247,266,290,319,337,338,354,355,358,359,360,365,414,441,1991,2006,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,2064,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090])).
% 39.68/39.50 cnf(2093,plain,
% 39.68/39.50 (~E(f5(a2,f12(a1,f12(a1,f4(a1),f5(a2,x20931)),f10(a1))),x20931)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,207,238,247,266,290,319,337,338,354,355,358,359,360,365,414,441,1991,2006,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,577,1931,1934,1982,477,445,563,1945,1997,2064,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677])).
% 39.68/39.50 cnf(2096,plain,
% 39.68/39.50 (~E(f12(a1,x20961,f10(a1)),x20961)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2098,plain,
% 39.68/39.50 (~E(x20981,f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,x20981,f10(a1))),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,414,441,1991,2006,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665])).
% 39.68/39.50 cnf(2099,plain,
% 39.68/39.50 (~P8(a1,x20991,x20991)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2100,plain,
% 39.68/39.50 (P8(a1,x21001,f12(a1,x21001,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2105,plain,
% 39.68/39.50 (~P7(a1,f12(a1,x21051,f10(a1)),x21051)),
% 39.68/39.50 inference(rename_variables,[],[577])).
% 39.68/39.50 cnf(2107,plain,
% 39.68/39.50 (~E(x21071,f12(a1,f5(a2,f12(a1,f5(a2,f11(a1,x21071,x21071)),f10(a1))),x21071))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,414,441,1991,2006,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107])).
% 39.68/39.50 cnf(2109,plain,
% 39.68/39.50 (~E(f11(a1,f12(a1,f12(a1,x21091,f4(a1)),f10(a1)),f4(a1)),x21091)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,414,441,1991,2006,2013,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106])).
% 39.68/39.50 cnf(2110,plain,
% 39.68/39.50 (~E(f12(a1,x21101,f10(a1)),x21101)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2111,plain,
% 39.68/39.50 (P7(a1,f4(a1),x21111)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2115,plain,
% 39.68/39.50 (~P8(a61,f10(a61),f13(a61,f5(a61,f5(a61,f4(a61)))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,403,414,441,1991,2006,2013,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071])).
% 39.68/39.50 cnf(2119,plain,
% 39.68/39.50 (~P7(a61,f10(a61),f13(a61,f5(a61,f5(a61,f4(a61)))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,403,414,441,1991,2006,2013,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069])).
% 39.68/39.50 cnf(2123,plain,
% 39.68/39.50 (~P8(a59,f4(a59),f5(a59,f10(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,403,414,441,1991,2006,2013,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064])).
% 39.68/39.50 cnf(2125,plain,
% 39.68/39.50 (~P7(a59,f4(a59),f5(a59,f10(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,403,414,441,1991,2006,2013,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062])).
% 39.68/39.50 cnf(2127,plain,
% 39.68/39.50 (~P8(a61,f4(a61),f5(a61,f4(a61)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,403,414,441,1991,2006,2013,561,2016,426,452,552,487,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039])).
% 39.68/39.50 cnf(2132,plain,
% 39.68/39.50 (~E(f12(a1,x21321,f10(a1)),x21321)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2134,plain,
% 39.68/39.50 (~E(a63,f4(f62(a2)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,247,266,290,319,337,338,354,355,358,359,360,365,391,403,414,441,1991,2006,2013,561,2016,426,452,552,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,2110,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735])).
% 39.68/39.50 cnf(2139,plain,
% 39.68/39.50 (~E(f12(a1,x21391,f10(a1)),x21391)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2141,plain,
% 39.68/39.50 (~E(f5(a59,f10(a59)),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,391,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,2110,2132,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669])).
% 39.68/39.50 cnf(2143,plain,
% 39.68/39.50 (~E(f13(a61,f10(a61)),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,391,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,2110,2132,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668])).
% 39.68/39.50 cnf(2153,plain,
% 39.68/39.50 (~P7(a59,f4(a59),f12(a59,f5(a59,f10(a59)),f5(a59,f10(a59))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,2110,2132,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342])).
% 39.68/39.50 cnf(2159,plain,
% 39.68/39.50 (~P7(a59,f12(a59,f10(a59),f10(a59)),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,445,563,1945,1997,2064,2077,2096,2110,2132,518,2030,494,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339])).
% 39.68/39.50 cnf(2162,plain,
% 39.68/39.50 (~E(f12(a1,x21621,f10(a1)),x21621)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2164,plain,
% 39.68/39.50 (E(x21641,f12(a1,x21641,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,381,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,518,2030,494,479,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981])).
% 39.68/39.50 cnf(2165,plain,
% 39.68/39.50 (E(f11(a1,f12(a1,x21651,x21652),x21651),x21652)),
% 39.68/39.50 inference(rename_variables,[],[478])).
% 39.68/39.50 cnf(2168,plain,
% 39.68/39.50 (~E(f12(a59,f10(a59),f10(a59)),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,381,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,518,2030,494,479,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842])).
% 39.68/39.50 cnf(2175,plain,
% 39.68/39.50 (~E(f12(a1,x21751,f10(a1)),x21751)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2177,plain,
% 39.68/39.50 (~E(f12(a2,x21771,f12(a1,f5(a2,x21771),f10(a1))),f4(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,518,2030,494,479,569,1960,1970,1973,435,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863])).
% 39.68/39.50 cnf(2178,plain,
% 39.68/39.50 (~E(f12(a1,x21781,f10(a1)),x21781)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2185,plain,
% 39.68/39.50 (~E(x21851,f5(a59,f12(a59,f10(a59),x21851)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797])).
% 39.68/39.50 cnf(2190,plain,
% 39.68/39.50 (~E(f12(a1,x21901,f10(a1)),x21901)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2194,plain,
% 39.68/39.50 (~P8(a1,f12(a1,f36(f36(f9(a1),f11(a1,x21941,x21941)),x21942),f12(a1,f12(a1,f36(f36(f9(a1),x21941),x21942),x21943),x21944)),x21943)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859])).
% 39.68/39.50 cnf(2196,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f36(f36(f9(a1),f11(a1,x21961,x21961)),x21962),f12(a1,f12(a1,f36(f36(f9(a1),x21961),x21962),x21963),f10(a1))),x21963)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858])).
% 39.68/39.50 cnf(2198,plain,
% 39.68/39.50 (~P8(a1,x21981,f12(a1,f36(f36(f9(a1),f11(a1,x21982,x21982)),x21983),x21981))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857])).
% 39.68/39.50 cnf(2199,plain,
% 39.68/39.50 (~P8(a1,x21991,x21991)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2201,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f12(a1,f36(f36(f9(a1),x22011),x22012),x22013),f10(a1)),f12(a1,f36(f36(f9(a1),f11(a1,x22011,x22011)),x22012),x22013))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856])).
% 39.68/39.50 cnf(2203,plain,
% 39.68/39.50 (P8(a1,f12(a1,f36(f36(f9(a1),f11(a1,x22031,x22031)),x22032),x22033),f12(a1,f12(a1,f36(f36(f9(a1),x22031),x22032),x22033),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850])).
% 39.68/39.50 cnf(2205,plain,
% 39.68/39.50 (P7(a1,f12(a1,f36(f36(f9(a1),f11(a1,f4(a1),f4(a1))),x22051),x22052),x22052)),
% 39.68/39.50 inference(scs_inference,[],[541,432,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849])).
% 39.68/39.50 cnf(2206,plain,
% 39.68/39.50 (P7(a1,x22061,x22061)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2207,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22071)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2209,plain,
% 39.68/39.50 (P7(a1,x22091,f12(a1,f36(f36(f9(a1),f11(a1,x22092,x22092)),x22093),f12(a1,f12(a1,f36(f36(f9(a1),x22092),x22093),x22091),x22094)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847])).
% 39.68/39.50 cnf(2211,plain,
% 39.68/39.50 (~E(f12(a1,f36(f36(f9(a1),f11(a1,x22111,x22111)),x22112),f12(a1,f12(a1,f36(f36(f9(a1),x22111),x22112),x22113),f10(a1))),x22113)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830])).
% 39.68/39.50 cnf(2216,plain,
% 39.68/39.50 (E(f12(a1,x22161,x22162),f12(a1,x22162,x22161))),
% 39.68/39.50 inference(rename_variables,[],[460])).
% 39.68/39.50 cnf(2219,plain,
% 39.68/39.50 (E(f12(a1,x22191,x22192),f12(a1,x22192,x22191))),
% 39.68/39.50 inference(rename_variables,[],[460])).
% 39.68/39.50 cnf(2221,plain,
% 39.68/39.50 (P7(f66(x22211,a1),x22212,x22212)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,354,355,358,359,360,361,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866])).
% 39.68/39.50 cnf(2222,plain,
% 39.68/39.50 (P7(a1,x22221,x22221)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2225,plain,
% 39.68/39.50 (~E(f12(a1,x22251,f10(a1)),x22251)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2227,plain,
% 39.68/39.50 (~E(f12(a59,f36(f36(f9(a59),x22271),x22272),f10(a59)),f12(a59,f36(f36(f9(a59),x22273),x22272),f36(f36(f9(a59),f11(a59,x22271,x22273)),x22272)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,340,354,355,358,359,360,361,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817])).
% 39.68/39.50 cnf(2230,plain,
% 39.68/39.50 (~E(f12(a1,x22301,f10(a1)),x22301)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2233,plain,
% 39.68/39.50 (P8(a1,x22331,f12(a1,x22331,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2235,plain,
% 39.68/39.50 (P8(a1,f4(a1),f6(a2,a63))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,339,340,354,355,358,359,360,361,365,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140])).
% 39.68/39.50 cnf(2236,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22361)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2239,plain,
% 39.68/39.50 (P7(a1,x22391,f12(a1,x22392,x22391))),
% 39.68/39.50 inference(rename_variables,[],[473])).
% 39.68/39.50 cnf(2241,plain,
% 39.68/39.50 (P8(a59,f4(a59),f12(a59,f10(a59),f10(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,339,340,354,355,358,359,360,361,365,366,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,561,2016,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,479,569,1960,1970,1973,435,437,578,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138])).
% 39.68/39.50 cnf(2244,plain,
% 39.68/39.50 (P7(a1,x22441,f12(a1,x22441,x22442))),
% 39.68/39.50 inference(rename_variables,[],[474])).
% 39.68/39.50 cnf(2247,plain,
% 39.68/39.50 (P7(a1,x22471,f12(a1,x22472,x22471))),
% 39.68/39.50 inference(rename_variables,[],[473])).
% 39.68/39.50 cnf(2250,plain,
% 39.68/39.50 (P7(a61,f19(a2,x22501),f12(a61,f19(a2,f12(a2,x22501,x22502)),f19(a2,x22502)))),
% 39.68/39.50 inference(rename_variables,[],[536])).
% 39.68/39.50 cnf(2255,plain,
% 39.68/39.50 (~P7(a1,a67,f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,561,2016,546,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007])).
% 39.68/39.50 cnf(2256,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22561)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2258,plain,
% 39.68/39.50 (P8(a1,f4(a1),a67)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,561,2016,546,547,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945])).
% 39.68/39.50 cnf(2259,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22591)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2262,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22621)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2264,plain,
% 39.68/39.50 (~P7(a1,a38,f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937])).
% 39.68/39.50 cnf(2265,plain,
% 39.68/39.50 (~P8(a1,x22651,f4(a1))),
% 39.68/39.50 inference(rename_variables,[],[561])).
% 39.68/39.50 cnf(2269,plain,
% 39.68/39.50 (~P8(a59,f3(a59,f10(a59)),f3(a59,f4(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147])).
% 39.68/39.50 cnf(2274,plain,
% 39.68/39.50 (E(f11(a1,f12(a1,x22741,x22742),x22742),x22741)),
% 39.68/39.50 inference(rename_variables,[],[477])).
% 39.68/39.50 cnf(2275,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22751)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2276,plain,
% 39.68/39.50 (P7(a1,x22761,x22761)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2278,plain,
% 39.68/39.50 (~P8(a1,f12(a1,x22781,f12(a1,x22782,f12(a1,f4(a1),x22783))),x22783)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,207,238,239,247,266,268,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390])).
% 39.68/39.50 cnf(2279,plain,
% 39.68/39.50 (P7(a1,x22791,x22791)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2281,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f12(a1,f4(a1),f10(a1)),x22811),x22811)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,266,268,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,2233,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389])).
% 39.68/39.50 cnf(2282,plain,
% 39.68/39.50 (~P8(a1,x22821,x22821)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2283,plain,
% 39.68/39.50 (P8(a1,x22831,f12(a1,x22831,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2285,plain,
% 39.68/39.50 (~P8(a1,f12(a1,f12(a1,f36(f36(f9(a1),f12(a1,f36(f36(f9(a1),f4(a1)),x22851),x22852)),x22853),f12(a1,f12(a1,f4(a1),f10(a1)),x22854)),x22855),x22854)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,263,266,268,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388])).
% 39.68/39.50 cnf(2286,plain,
% 39.68/39.50 (P8(a1,x22861,f12(a1,x22861,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2288,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f36(f36(f9(a1),f12(a1,f36(f36(f9(a1),f4(a1)),x22881),x22882)),x22883),f12(a1,f12(a1,f36(f36(f9(a1),f12(a1,f36(f36(f9(a1),f4(a1)),x22881),x22882)),x22883),x22884),f10(a1))),x22884)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,263,266,268,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387])).
% 39.68/39.50 cnf(2289,plain,
% 39.68/39.50 (P7(a1,f4(a1),x22891)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2292,plain,
% 39.68/39.50 (P7(a1,x22921,x22921)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2294,plain,
% 39.68/39.50 (~P8(a1,f12(a1,f12(a1,x22941,f12(a1,f10(a1),f10(a1))),x22942),x22941)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,263,266,268,287,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,474,475,476,575,1889,1925,1928,576,1920,460,2216,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547])).
% 39.68/39.50 cnf(2295,plain,
% 39.68/39.50 (P8(a1,x22951,f12(a1,x22951,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2298,plain,
% 39.68/39.50 (~P8(a1,f12(a1,x22981,x22982),x22981)),
% 39.68/39.50 inference(rename_variables,[],[576])).
% 39.68/39.50 cnf(2301,plain,
% 39.68/39.50 (P7(a1,f4(a1),x23011)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2303,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f12(a1,x23031,f12(a1,f10(a1),f10(a1))),x23032),x23031)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,263,266,268,284,287,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544])).
% 39.68/39.50 cnf(2304,plain,
% 39.68/39.50 (P7(a1,x23041,f12(a1,x23042,x23041))),
% 39.68/39.50 inference(rename_variables,[],[473])).
% 39.68/39.50 cnf(2308,plain,
% 39.68/39.50 (~P7(a1,f6(a2,a63),f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,263,266,268,284,287,290,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431])).
% 39.68/39.50 cnf(2309,plain,
% 39.68/39.50 (P7(a1,x23091,x23091)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2316,plain,
% 39.68/39.50 (~E(f12(a1,x23161,f10(a1)),x23161)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2319,plain,
% 39.68/39.50 (E(f12(a1,x23191,x23192),f12(a1,x23192,x23191))),
% 39.68/39.50 inference(rename_variables,[],[460])).
% 39.68/39.50 cnf(2320,plain,
% 39.68/39.50 (~E(f12(a1,x23201,f10(a1)),x23201)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2323,plain,
% 39.68/39.50 (E(f3(a59,x23231),x23231)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2324,plain,
% 39.68/39.50 (P7(a59,x23241,x23241)),
% 39.68/39.50 inference(rename_variables,[],[433])).
% 39.68/39.50 cnf(2327,plain,
% 39.68/39.50 (P7(a1,f4(a1),x23271)),
% 39.68/39.50 inference(rename_variables,[],[441])).
% 39.68/39.50 cnf(2333,plain,
% 39.68/39.50 (P7(a61,f13(a61,f5(a61,f5(a61,f4(a61)))),f10(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849])).
% 39.68/39.50 cnf(2341,plain,
% 39.68/39.50 (P10(a1,x23411,x23411)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708])).
% 39.68/39.50 cnf(2349,plain,
% 39.68/39.50 (P8(a1,f4(a1),f12(a1,x23491,f12(a1,x23492,f10(a1))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698])).
% 39.68/39.50 cnf(2351,plain,
% 39.68/39.50 (~P8(a1,f12(a1,x23511,f10(a1)),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221])).
% 39.68/39.50 cnf(2355,plain,
% 39.68/39.50 (P7(a59,f12(a59,f11(a59,f12(a59,f4(a59),f10(a59)),f10(a59)),f10(a59)),f12(a59,f4(a59),f10(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192])).
% 39.68/39.50 cnf(2369,plain,
% 39.68/39.50 (P10(a1,x23691,f36(f36(f9(a1),x23691),x23692))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961])).
% 39.68/39.50 cnf(2371,plain,
% 39.68/39.50 (P10(a1,x23711,f36(f36(f9(a1),x23712),x23711))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960])).
% 39.68/39.50 cnf(2375,plain,
% 39.68/39.50 (P10(a1,f10(a1),x23751)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725])).
% 39.68/39.50 cnf(2377,plain,
% 39.68/39.50 (P10(a1,x23771,f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,207,238,239,247,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,397,399,402,403,404,414,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724])).
% 39.68/39.50 cnf(2405,plain,
% 39.68/39.50 (P56(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,258,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636])).
% 39.68/39.50 cnf(2411,plain,
% 39.68/39.50 (P36(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633])).
% 39.68/39.50 cnf(2433,plain,
% 39.68/39.50 (P72(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622])).
% 39.68/39.50 cnf(2455,plain,
% 39.68/39.50 (P60(f62(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611])).
% 39.68/39.50 cnf(2481,plain,
% 39.68/39.50 (P23(f62(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598])).
% 39.68/39.50 cnf(2487,plain,
% 39.68/39.50 (P44(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595])).
% 39.68/39.50 cnf(2493,plain,
% 39.68/39.50 (P74(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592])).
% 39.68/39.50 cnf(2495,plain,
% 39.68/39.50 (P4(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591])).
% 39.68/39.50 cnf(2497,plain,
% 39.68/39.50 (P21(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590])).
% 39.68/39.50 cnf(2501,plain,
% 39.68/39.50 (P67(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588])).
% 39.68/39.50 cnf(2505,plain,
% 39.68/39.50 (P66(f62(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586])).
% 39.68/39.50 cnf(2518,plain,
% 39.68/39.50 (P8(a1,x25181,f12(a1,x25181,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2520,plain,
% 39.68/39.50 (P8(a1,f11(a1,f12(a1,f4(a1),f10(a1)),f12(a1,x25201,f10(a1))),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586])).
% 39.68/39.50 cnf(2521,plain,
% 39.68/39.50 (P8(a1,x25211,f12(a1,x25211,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2524,plain,
% 39.68/39.50 (P8(a1,x25241,f12(a1,x25241,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2526,plain,
% 39.68/39.50 (E(f12(a1,f46(f12(a1,f4(a1),f10(a1))),f10(a1)),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953])).
% 39.68/39.50 cnf(2527,plain,
% 39.68/39.50 (P8(a1,x25271,f12(a1,x25271,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2530,plain,
% 39.68/39.50 (E(f3(a59,x25301),x25301)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2532,plain,
% 39.68/39.50 (~E(f12(a1,f12(a1,x25321,f10(a1)),x25322),f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,2323,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807])).
% 39.68/39.50 cnf(2534,plain,
% 39.68/39.50 (~E(f12(a1,x25341,f12(a1,x25342,f12(a1,x25343,f10(a1)))),f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,2323,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806])).
% 39.68/39.50 cnf(2536,plain,
% 39.68/39.50 (P8(a61,f4(a61),f42(x25361,a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,2323,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796])).
% 39.68/39.50 cnf(2540,plain,
% 39.68/39.50 (P7(a61,f4(a61),f19(a2,x25401))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,2323,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794])).
% 39.68/39.50 cnf(2542,plain,
% 39.68/39.50 (~E(f36(f36(f9(a1),f12(a1,f10(a1),f10(a1))),x25421),f10(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,2323,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771])).
% 39.68/39.50 cnf(2543,plain,
% 39.68/39.50 (~E(f12(a1,x25431,f10(a1)),x25431)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2545,plain,
% 39.68/39.50 (~E(f36(f36(f9(a1),x25451),f12(a1,f10(a1),f10(a1))),f10(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,534,580,421,1881,1948,1985,1987,2046,2080,2323,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770])).
% 39.68/39.50 cnf(2546,plain,
% 39.68/39.50 (~E(f12(a1,x25461,f10(a1)),x25461)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2553,plain,
% 39.68/39.50 (E(f3(a59,x25531),x25531)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2556,plain,
% 39.68/39.50 (E(f3(a59,x25561),x25561)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2559,plain,
% 39.68/39.50 (E(f3(a59,x25591),x25591)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2561,plain,
% 39.68/39.50 (~P8(a1,f4(a1),f36(f36(f9(a1),f4(a1)),x25611))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251])).
% 39.68/39.50 cnf(2562,plain,
% 39.68/39.50 (~P8(a1,x25621,x25621)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2565,plain,
% 39.68/39.50 (~P8(a1,x25651,x25651)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2567,plain,
% 39.68/39.50 (P8(a59,f4(a59),f12(a59,f10(a59),f4(a59)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,2324,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205])).
% 39.68/39.50 cnf(2568,plain,
% 39.68/39.50 (P7(a59,x25681,x25681)),
% 39.68/39.50 inference(rename_variables,[],[433])).
% 39.68/39.50 cnf(2571,plain,
% 39.68/39.50 (P8(a1,x25711,f12(a1,x25711,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2573,plain,
% 39.68/39.50 (P7(a59,f4(a59),f36(f36(f23(a59),f4(a59)),x25731))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143])).
% 39.68/39.50 cnf(2574,plain,
% 39.68/39.50 (P7(a59,x25741,x25741)),
% 39.68/39.50 inference(rename_variables,[],[433])).
% 39.68/39.50 cnf(2577,plain,
% 39.68/39.50 (E(f3(a59,x25771),x25771)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2579,plain,
% 39.68/39.50 (~E(f36(f36(f9(a1),x25791),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1))),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109])).
% 39.68/39.50 cnf(2580,plain,
% 39.68/39.50 (~E(f12(a1,x25801,f10(a1)),x25801)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2583,plain,
% 39.68/39.50 (E(f3(a59,x25831),x25831)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2662,plain,
% 39.68/39.50 (E(f8(x26621,x26622,f6(a2,a32)),f8(x26621,x26622,f6(a2,a63)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34])).
% 39.68/39.50 cnf(2668,plain,
% 39.68/39.50 (E(f11(x26681,x26682,f6(a2,a32)),f11(x26681,x26682,f6(a2,a63)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28])).
% 39.68/39.50 cnf(2691,plain,
% 39.68/39.50 (~P7(a1,f36(f36(f9(a1),f12(a1,x26911,f10(a1))),f12(a1,x26912,f10(a1))),f36(f36(f9(a1),f12(a1,x26911,f10(a1))),x26912))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839])).
% 39.68/39.50 cnf(2703,plain,
% 39.68/39.50 (P7(a1,x27031,f11(a1,f12(a1,x27032,x27031),x27032))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,2265,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548])).
% 39.68/39.50 cnf(2705,plain,
% 39.68/39.50 (~P8(a1,f36(f36(f9(a1),x27051),x27052),f36(f36(f9(a1),f4(a1)),x27052))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,2265,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504])).
% 39.68/39.50 cnf(2709,plain,
% 39.68/39.50 (P8(a59,f12(a59,f4(a59),x27091),f12(a59,f10(a59),x27091))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,561,2016,2087,2265,546,547,550,426,425,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381])).
% 39.68/39.50 cnf(2719,plain,
% 39.68/39.50 (P7(a1,f12(a1,f4(a1),x27191),f12(a1,x27192,x27191))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375])).
% 39.68/39.50 cnf(2733,plain,
% 39.68/39.50 (~P7(a61,f11(a61,f10(a61),f13(a61,f5(a61,f5(a61,f4(a61))))),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281])).
% 39.68/39.50 cnf(2737,plain,
% 39.68/39.50 (~P8(a59,f36(f36(f9(a59),x27371),x27371),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213])).
% 39.68/39.50 cnf(2739,plain,
% 39.68/39.50 (P8(a59,f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176])).
% 39.68/39.50 cnf(2742,plain,
% 39.68/39.50 (P7(a61,x27421,x27421)),
% 39.68/39.50 inference(rename_variables,[],[434])).
% 39.68/39.50 cnf(2752,plain,
% 39.68/39.50 (P8(a61,x27521,f12(a61,x27521,f10(a61)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003])).
% 39.68/39.50 cnf(2754,plain,
% 39.68/39.50 (P7(a59,f4(a59),f36(f36(f9(a59),x27541),x27541))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974])).
% 39.68/39.50 cnf(2772,plain,
% 39.68/39.50 (~P8(a61,f10(a61),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860])).
% 39.68/39.50 cnf(2774,plain,
% 39.68/39.50 (~P7(a61,f10(a61),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859])).
% 39.68/39.50 cnf(2786,plain,
% 39.68/39.50 (P8(a61,f4(a61),f10(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756])).
% 39.68/39.50 cnf(2788,plain,
% 39.68/39.50 (P7(a61,f4(a61),f10(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755])).
% 39.68/39.50 cnf(2800,plain,
% 39.68/39.50 (E(f12(a61,f4(a61),x28001),x28001)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732])).
% 39.68/39.50 cnf(2802,plain,
% 39.68/39.50 (E(f8(a1,x28021,f10(a1)),x28021)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,205,206,207,209,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730])).
% 39.68/39.50 cnf(2824,plain,
% 39.68/39.50 (E(f5(a2,f5(a2,x28241)),x28241)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,202,205,206,207,209,212,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679])).
% 39.68/39.50 cnf(2832,plain,
% 39.68/39.50 (~E(f10(a2),f4(a2))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643])).
% 39.68/39.50 cnf(2834,plain,
% 39.68/39.50 (~P8(a59,f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59)),f4(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739])).
% 39.68/39.50 cnf(2837,plain,
% 39.68/39.50 (~E(f12(a1,x28371,f10(a1)),x28371)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2842,plain,
% 39.68/39.50 (~E(f12(a1,x28421,f10(a1)),x28421)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2844,plain,
% 39.68/39.50 (~P8(a1,f36(f36(f9(a1),f4(a1)),x28441),f36(f36(f9(a1),f4(a1)),x28442))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509])).
% 39.68/39.50 cnf(2845,plain,
% 39.68/39.50 (~P8(a1,x28451,x28451)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2848,plain,
% 39.68/39.50 (~P8(a1,x28481,x28481)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2851,plain,
% 39.68/39.50 (~E(f12(a1,x28511,f10(a1)),x28511)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2856,plain,
% 39.68/39.50 (P8(a1,x28561,f12(a1,x28561,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2860,plain,
% 39.68/39.50 (~E(f12(a61,f36(f36(f9(a61),x28601),x28601),f36(f36(f9(a61),f10(a61)),f10(a61))),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438])).
% 39.68/39.50 cnf(2865,plain,
% 39.68/39.50 (~P8(a1,x28651,x28651)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2867,plain,
% 39.68/39.50 (P7(a1,f36(f36(f9(a1),x28671),f4(a1)),f36(f36(f9(a1),x28672),f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254])).
% 39.68/39.50 cnf(2868,plain,
% 39.68/39.50 (~P8(a1,x28681,x28681)),
% 39.68/39.50 inference(rename_variables,[],[558])).
% 39.68/39.50 cnf(2873,plain,
% 39.68/39.50 (E(f3(a59,x28731),x28731)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2876,plain,
% 39.68/39.50 (P8(a1,x28761,f12(a1,x28761,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2879,plain,
% 39.68/39.50 (P8(a1,x28791,f12(a1,x28791,f10(a1)))),
% 39.68/39.50 inference(rename_variables,[],[480])).
% 39.68/39.50 cnf(2883,plain,
% 39.68/39.50 (E(f36(f36(f9(a1),f3(a59,f4(a1))),x28831),f36(f36(f9(a1),f3(a59,f4(a1))),x28832))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832])).
% 39.68/39.50 cnf(2884,plain,
% 39.68/39.50 (E(f3(a59,x28841),x28841)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2887,plain,
% 39.68/39.50 (E(f3(a59,x28871),x28871)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(2890,plain,
% 39.68/39.50 (~E(f12(a1,x28901,f10(a1)),x28901)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2892,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),f4(a1)),x28921))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700])).
% 39.68/39.50 cnf(2894,plain,
% 39.68/39.50 (~P7(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),x28941),f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699])).
% 39.68/39.50 cnf(2897,plain,
% 39.68/39.50 (P7(a1,x28971,x28971)),
% 39.68/39.50 inference(rename_variables,[],[432])).
% 39.68/39.50 cnf(2899,plain,
% 39.68/39.50 (~P8(a61,f4(a61),f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149])).
% 39.68/39.50 cnf(2901,plain,
% 39.68/39.50 (P8(a61,f4(a61),f36(f36(f9(a61),f10(a61)),f10(a61)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936])).
% 39.68/39.50 cnf(2921,plain,
% 39.68/39.50 (P7(a61,f12(a61,x29211,f5(a61,x29211)),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,210,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242])).
% 39.68/39.50 cnf(2937,plain,
% 39.68/39.50 (E(f12(a1,x29371,f57(x29371,x29371)),x29371)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,210,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,389,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959])).
% 39.68/39.50 cnf(2939,plain,
% 39.68/39.50 (E(f12(a1,x29391,f47(x29391,x29391)),x29391)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,210,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,389,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958])).
% 39.68/39.50 cnf(2951,plain,
% 39.68/39.50 (~E(f12(a61,x29511,f12(a1,f5(a61,x29511),f10(a1))),f4(a61))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,209,210,212,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,370,379,380,381,382,385,387,389,391,392,394,397,399,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837])).
% 39.68/39.50 cnf(2952,plain,
% 39.68/39.50 (~E(f12(a1,x29521,f10(a1)),x29521)),
% 39.68/39.50 inference(rename_variables,[],[563])).
% 39.68/39.50 cnf(2975,plain,
% 39.68/39.50 (E(f3(a59,x29751),x29751)),
% 39.68/39.50 inference(rename_variables,[],[421])).
% 39.68/39.50 cnf(3009,plain,
% 39.68/39.50 (P7(a61,f4(a61),f12(a61,x30091,f5(a61,x30091)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,208,209,210,212,219,226,233,236,238,239,241,247,255,258,263,265,266,268,284,287,290,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240])).
% 39.68/39.50 cnf(3081,plain,
% 39.68/39.50 (E(f36(f36(f9(a1),x30811),f36(f36(f9(a1),x30812),x30813)),f36(f36(f9(a1),x30812),f36(f36(f9(a1),x30811),x30813)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,208,209,210,212,219,226,233,236,238,239,241,247,252,255,258,263,265,266,268,284,287,290,293,307,317,319,321,324,326,337,338,339,340,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300])).
% 39.68/39.50 cnf(3115,plain,
% 39.68/39.50 (P8(a61,f4(a61),f12(a61,f10(a61),f10(a61)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,208,209,210,212,219,226,233,236,238,239,241,247,252,255,258,263,265,266,268,284,287,290,293,307,317,319,321,324,326,337,338,339,340,341,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048])).
% 39.68/39.50 cnf(3125,plain,
% 39.68/39.50 (~E(f36(f14(a2,a63),f25(f14(a2,a63))),f36(f14(a2,a63),f27(f14(a2,a63))))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,202,205,206,207,208,209,210,212,219,226,233,236,238,239,241,247,252,255,258,263,265,266,268,284,287,290,293,307,317,319,321,324,326,337,338,339,340,341,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874])).
% 39.68/39.50 cnf(3175,plain,
% 39.68/39.50 (E(f36(f36(f9(a2),f5(a2,f3(a2,x31751))),x31752),f36(f36(f9(a2),f3(a2,f5(a59,x31751))),x31752))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,226,232,233,236,238,239,241,247,252,255,258,263,265,266,268,284,287,290,293,307,317,319,321,324,326,337,338,339,340,341,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496])).
% 39.68/39.50 cnf(3229,plain,
% 39.68/39.50 (E(f12(f62(a2),f36(f36(f9(f62(a2)),f15(a2,f5(a2,x32291),f15(a2,f10(a2),f4(f62(a2))))),f22(a2,x32292,x32291)),f15(a2,f36(f14(a2,x32292),x32291),f4(f62(a2)))),x32292)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,226,232,233,236,238,239,241,247,252,255,258,263,265,266,268,284,287,290,293,302,307,317,319,321,324,326,330,337,338,339,340,341,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864])).
% 39.68/39.50 cnf(3237,plain,
% 39.68/39.50 (~E(a59,x32371)+P63(x32371)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,226,232,233,236,238,239,241,247,252,255,258,263,265,266,268,280,284,287,290,292,293,296,300,302,307,317,319,321,324,326,330,337,338,339,340,341,342,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196])).
% 39.68/39.50 cnf(3239,plain,
% 39.68/39.50 (P49(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,226,232,233,236,238,239,241,247,252,255,258,263,265,266,268,280,284,287,290,292,293,296,300,302,307,317,319,321,324,326,330,333,337,338,339,340,341,342,351,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194])).
% 39.68/39.50 cnf(3246,plain,
% 39.68/39.50 (P70(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,226,232,233,236,238,239,241,247,252,255,258,263,265,266,268,280,284,287,290,292,293,296,300,302,307,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,351,354,355,356,357,358,359,360,361,365,366,367,369,370,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176])).
% 39.68/39.50 cnf(3256,plain,
% 39.68/39.50 (P33(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,280,284,287,290,292,293,296,300,302,307,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165])).
% 39.68/39.50 cnf(3266,plain,
% 39.68/39.50 (P76(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144])).
% 39.68/39.50 cnf(3269,plain,
% 39.68/39.50 (P66(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140])).
% 39.68/39.50 cnf(3270,plain,
% 39.68/39.50 (P34(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139])).
% 39.68/39.50 cnf(3271,plain,
% 39.68/39.50 (P52(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136])).
% 39.68/39.50 cnf(3274,plain,
% 39.68/39.50 (~P10(a59,f5(a59,f4(a59)),f10(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130])).
% 39.68/39.50 cnf(3275,plain,
% 39.68/39.50 (~P10(f11(a1,a59,f4(a1)),f4(a59),f10(a59))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129])).
% 39.68/39.50 cnf(3276,plain,
% 39.68/39.50 (P41(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127])).
% 39.68/39.50 cnf(3278,plain,
% 39.68/39.50 (P26(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121])).
% 39.68/39.50 cnf(3279,plain,
% 39.68/39.50 (P42(f12(a1,a1,f4(a1)))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120])).
% 39.68/39.50 cnf(3280,plain,
% 39.68/39.50 (~P7(f12(a1,a1,f4(a1)),f12(a1,f4(a1),f10(a1)),f4(a1))),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116])).
% 39.68/39.50 cnf(3281,plain,
% 39.68/39.50 (~P8(f12(a1,a1,f4(a1)),x32811,x32811)),
% 39.68/39.50 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113])).
% 39.68/39.51 cnf(3282,plain,
% 39.68/39.51 (P1(f12(a1,a1,f4(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112])).
% 39.68/39.51 cnf(3285,plain,
% 39.68/39.51 (~P7(a59,f11(a59,f10(a59),f10(a59)),f5(a59,f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102])).
% 39.68/39.51 cnf(3291,plain,
% 39.68/39.51 (~P8(a1,x32911,f8(a1,x32911,x32912))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986])).
% 39.68/39.51 cnf(3305,plain,
% 39.68/39.51 (~P8(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1))),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758])).
% 39.68/39.51 cnf(3307,plain,
% 39.68/39.51 (~P8(a59,f10(a59),f12(a59,f4(a59),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299])).
% 39.68/39.51 cnf(3313,plain,
% 39.68/39.51 (~P8(a59,f8(a59,f4(a59),f10(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463])).
% 39.68/39.51 cnf(3315,plain,
% 39.68/39.51 (P8(a59,f8(a59,f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))),f10(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363])).
% 39.68/39.51 cnf(3317,plain,
% 39.68/39.51 (P8(a59,f8(a59,f10(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361])).
% 39.68/39.51 cnf(3327,plain,
% 39.68/39.51 (~E(f36(f36(f9(a1),f12(a1,x33271,f10(a1))),f12(a1,x33271,f10(a1))),f4(a1))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777])).
% 39.68/39.51 cnf(3329,plain,
% 39.68/39.51 (~E(f36(f36(f9(a1),f12(a1,x33291,f10(a1))),f12(a1,f12(a1,f36(f36(f9(a1),f36(x33292,f58(x33292,x33292,x33293,a1))),x33294),f10(a1)),f10(a1))),f12(a1,x33291,f10(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773])).
% 39.68/39.51 cnf(3337,plain,
% 39.68/39.51 (~P7(a59,f4(a59),f8(a59,f10(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462])).
% 39.68/39.51 cnf(3339,plain,
% 39.68/39.51 (P7(a59,f4(a59),f8(a59,f4(a59),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358])).
% 39.68/39.51 cnf(3343,plain,
% 39.68/39.51 (P7(a59,f4(a59),f12(a59,f4(a59),f4(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356])).
% 39.68/39.51 cnf(3347,plain,
% 39.68/39.51 (P8(a61,f4(a61),f36(f36(f9(a61),f42(x33471,a2)),f42(x33471,a2)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315])).
% 39.68/39.51 cnf(3359,plain,
% 39.68/39.51 (P10(a2,f36(f36(f9(a2),f36(f14(a2,a63),a64)),x33591),f36(f36(f9(a2),f36(f36(f9(a2),f36(f14(a2,a63),a64)),f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))),x33592))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199])).
% 39.68/39.51 cnf(3361,plain,
% 39.68/39.51 (P10(a2,f36(f36(f9(a2),f36(f14(a2,a63),a64)),x33611),f36(f36(f9(a2),x33612),f36(f36(f9(a2),f36(f14(a2,a63),a64)),f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198])).
% 39.68/39.51 cnf(3363,plain,
% 39.68/39.51 (~E(f12(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1))),x33631),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153])).
% 39.68/39.51 cnf(3375,plain,
% 39.68/39.51 (P10(f62(a2),f5(f62(a2),f36(f36(f23(f62(a2)),f15(a2,f5(a2,x33751),f15(a2,f10(a2),f4(f62(a2))))),f17(a2,x33751,f12(a1,f4(f62(a2)),f10(a1))))),f12(a1,f4(f62(a2)),f10(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979])).
% 39.68/39.51 cnf(3377,plain,
% 39.68/39.51 (P10(a2,f36(f36(f9(a2),f36(f14(a2,a63),a64)),x33771),f5(a2,f36(f36(f9(a2),f36(f14(a2,a63),a64)),f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978])).
% 39.68/39.51 cnf(3389,plain,
% 39.68/39.51 (~P8(a59,f4(a59),f8(a59,f4(a59),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460])).
% 39.68/39.51 cnf(3391,plain,
% 39.68/39.51 (~P8(a59,f4(a59),f8(a59,f4(a59),f12(a59,f10(a59),f10(a59))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459])).
% 39.68/39.51 cnf(3399,plain,
% 39.68/39.51 (~E(f12(a1,f4(a1),f10(a1)),f12(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1))),x33991))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155])).
% 39.68/39.51 cnf(3401,plain,
% 39.68/39.51 (~E(f12(a1,f4(a1),f10(a1)),f12(a1,x34011,f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154])).
% 39.68/39.51 cnf(3417,plain,
% 39.68/39.51 (P8(a1,f12(a1,f4(a1),f10(a1)),f12(a1,a67,f10(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,280,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279])).
% 39.68/39.51 cnf(3418,plain,
% 39.68/39.51 (P8(a1,f4(a1),f12(a1,x34181,f10(a1)))),
% 39.68/39.51 inference(rename_variables,[],[481])).
% 39.68/39.51 cnf(3448,plain,
% 39.68/39.51 (~P7(a61,f36(f36(f9(a61),f10(a61)),f42(x34481,a2)),f36(f36(f9(a61),f13(a61,f5(a61,f5(a61,f4(a61))))),f42(x34481,a2)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628])).
% 39.68/39.51 cnf(3450,plain,
% 39.68/39.51 (~P7(a61,f36(f36(f9(a61),f42(x34501,a2)),f10(a61)),f36(f36(f9(a61),f42(x34501,a2)),f13(a61,f5(a61,f5(a61,f4(a61))))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627])).
% 39.68/39.51 cnf(3452,plain,
% 39.68/39.51 (~P7(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f10(a1))),f36(f36(f9(a1),f4(a1)),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626])).
% 39.68/39.51 cnf(3456,plain,
% 39.68/39.51 (P8(a61,f36(f36(f9(a61),f42(x34561,a2)),f4(a61)),f36(f36(f9(a61),f42(x34561,a2)),f42(x34561,a2)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491])).
% 39.68/39.51 cnf(3458,plain,
% 39.68/39.51 (P8(a61,f36(f36(f9(a61),f4(a61)),f42(x34581,a2)),f36(f36(f9(a61),f42(x34581,a2)),f42(x34581,a2)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490])).
% 39.68/39.51 cnf(3466,plain,
% 39.68/39.51 (E(f12(a1,f54(f12(a1,f12(a1,f4(a1),f10(a1)),x34661),f12(a1,f4(a1),f10(a1))),f10(a1)),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371])).
% 39.68/39.51 cnf(3470,plain,
% 39.68/39.51 (~E(f36(f36(f9(a1),f6(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69))),f4(a1)),f36(f36(f9(a1),f6(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69))),a67))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148])).
% 39.68/39.51 cnf(3474,plain,
% 39.68/39.51 (~E(f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f10(a1))),f36(f36(f9(a1),f4(a1)),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951])).
% 39.68/39.51 cnf(3475,plain,
% 39.68/39.51 (~E(f12(a1,x34751,f10(a1)),f4(a1))),
% 39.68/39.51 inference(rename_variables,[],[569])).
% 39.68/39.51 cnf(3485,plain,
% 39.68/39.51 (P8(a1,f11(a1,f6(a2,a63),f6(a2,a63)),f11(a1,f6(a2,a63),f12(a1,a67,f10(a1))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520])).
% 39.68/39.51 cnf(3487,plain,
% 39.68/39.51 (P7(a61,f4(a61),f36(f36(f9(a61),x34871),x34871))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044])).
% 39.68/39.51 cnf(3489,plain,
% 39.68/39.51 (P8(a59,f5(a59,f12(a59,f10(a59),f10(a59))),f12(a59,f10(a59),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017])).
% 39.68/39.51 cnf(3491,plain,
% 39.68/39.51 (P7(a59,f5(a59,f4(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016])).
% 39.68/39.51 cnf(3495,plain,
% 39.68/39.51 (P7(a59,f4(a59),f5(a59,f4(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014])).
% 39.68/39.51 cnf(3501,plain,
% 39.68/39.51 (E(f12(a61,x35011,f13(a61,f4(a61))),x35011)),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746])).
% 39.68/39.51 cnf(3515,plain,
% 39.68/39.51 (P8(a61,f4(a61),f19(a61,f10(a61)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,276,277,278,280,281,284,287,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816])).
% 39.68/39.51 cnf(3539,plain,
% 39.68/39.51 (~P7(a59,f5(a59,f4(a59)),f5(a59,f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123])).
% 39.68/39.51 cnf(3541,plain,
% 39.68/39.51 (P7(a61,f5(a61,f5(a61,f4(a61))),f4(a61))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092])).
% 39.68/39.51 cnf(3543,plain,
% 39.68/39.51 (P7(a61,f4(a61),f5(a61,f5(a61,f4(a61))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088])).
% 39.68/39.51 cnf(3545,plain,
% 39.68/39.51 (P8(a59,f5(a59,f10(a59)),f5(a59,f4(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054])).
% 39.68/39.51 cnf(3551,plain,
% 39.68/39.51 (P7(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f8(a1,x35511,f12(a1,f4(a1),f10(a1))))),x35511)),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301])).
% 39.68/39.51 cnf(3565,plain,
% 39.68/39.51 (P7(a59,f4(a59),f36(f36(f23(a59),f10(a59)),x35651))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217])).
% 39.68/39.51 cnf(3567,plain,
% 39.68/39.51 (P7(a61,f4(a61),f5(a61,f4(a61)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072])).
% 39.68/39.51 cnf(3569,plain,
% 39.68/39.51 (P7(a59,f5(a59,f10(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037])).
% 39.68/39.51 cnf(3577,plain,
% 39.68/39.51 (P8(a61,f4(a61),f13(a61,f42(x35771,a2)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,232,233,236,238,239,241,247,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030])).
% 39.68/39.51 cnf(3587,plain,
% 39.68/39.51 (~E(f36(f36(f23(a59),f10(a59)),x35871),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,230,232,233,236,238,239,241,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,394,397,399,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838])).
% 39.68/39.51 cnf(3605,plain,
% 39.68/39.51 (P10(a61,f36(f36(f9(a61),f13(a61,f4(a61))),x36051),f36(f36(f9(a61),f13(a61,f4(a61))),x36052))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231])).
% 39.68/39.51 cnf(3609,plain,
% 39.68/39.51 (P8(a59,f12(a59,f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226])).
% 39.68/39.51 cnf(3613,plain,
% 39.68/39.51 (P7(a59,f12(a59,f4(a59),f4(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224])).
% 39.68/39.51 cnf(3615,plain,
% 39.68/39.51 (P8(a59,f4(a59),f12(a59,f12(a59,f10(a59),f10(a59)),f12(a59,f10(a59),f10(a59))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223])).
% 39.68/39.51 cnf(3617,plain,
% 39.68/39.51 (P7(a59,f4(a59),f12(a59,f10(a59),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222])).
% 39.68/39.51 cnf(3625,plain,
% 39.68/39.51 (E(f36(f36(f9(a2),f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f4(a2))),f36(f14(a2,f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69)),f4(a2))),f10(a2))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,451,452,552,553,487,555,422,423,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751])).
% 39.68/39.51 cnf(3669,plain,
% 39.68/39.51 (E(f8(a59,f36(f36(f9(a59),f5(a59,f4(a59))),x36691),f36(f36(f9(a59),f5(a59,f4(a59))),x36692)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,390,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239])).
% 39.68/39.51 cnf(3675,plain,
% 39.68/39.51 (~P8(a1,f12(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),x36751),f12(a1,f11(a1,f12(a1,f36(f36(f9(a1),f11(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1)))),x36751),f6(a2,a63)),f12(a1,a67,f10(a1))),f12(a1,a67,f10(a1)))),f12(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),x36751),f6(a2,a63)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,379,380,381,382,385,386,387,389,390,391,392,393,394,397,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848])).
% 39.68/39.51 cnf(3695,plain,
% 39.68/39.51 (P8(a59,f12(a59,f36(f36(f9(a59),x36951),x36952),f4(a59)),f12(a59,f36(f36(f9(a59),x36953),x36952),f12(a59,f36(f36(f9(a59),f11(a59,x36951,x36953)),x36952),f10(a59))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863])).
% 39.68/39.51 cnf(3699,plain,
% 39.68/39.51 (P8(a61,f12(a61,f36(f36(f9(a61),x36991),x36992),f4(a61)),f12(a61,f36(f36(f9(a61),x36993),x36992),f12(a61,f5(a61,f36(f36(f9(a61),f11(a61,x36993,x36991)),x36992)),f10(a61))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861])).
% 39.68/39.51 cnf(3705,plain,
% 39.68/39.51 (P7(a61,f12(a61,f36(f36(f9(a61),f11(a61,f11(a61,x37051,x37052),f11(a61,x37051,x37052))),x37053),f5(a61,f19(a2,x37054))),f19(a2,x37054))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853])).
% 39.68/39.51 cnf(3711,plain,
% 39.68/39.51 (E(f12(a59,f36(f36(f9(a59),x37111),x37112),x37113),f12(a59,f36(f36(f9(a59),x37114),x37112),f12(a59,x37113,f36(f36(f9(a59),f11(a59,x37111,x37114)),x37112))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828])).
% 39.68/39.51 cnf(3713,plain,
% 39.68/39.51 (E(f12(a2,f36(f36(f9(a2),x37131),x37132),x37133),f12(a2,f36(f36(f9(a2),x37134),x37132),f5(a59,f5(a59,f12(a2,f36(f36(f9(a2),f11(a2,x37131,x37134)),x37132),x37133)))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827])).
% 39.68/39.51 cnf(3717,plain,
% 39.68/39.51 (P8(a59,f4(a59),f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881])).
% 39.68/39.51 cnf(3720,plain,
% 39.68/39.51 (P8(a59,f5(a59,f10(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875])).
% 39.68/39.51 cnf(3732,plain,
% 39.68/39.51 (P10(a1,x37321,f12(a1,x37321,x37321))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369])).
% 39.68/39.51 cnf(3740,plain,
% 39.68/39.51 (P10(a1,f36(f36(f23(a1),x37401),f11(a1,f4(a1),x37402)),f36(f36(f23(a1),x37401),a67))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614])).
% 39.68/39.51 cnf(3742,plain,
% 39.68/39.51 (P10(a1,f36(f36(f23(a1),x37421),f12(a1,f4(a1),f10(a1))),f36(f36(f23(a1),x37421),f12(a1,x37422,f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533])).
% 39.68/39.51 cnf(3760,plain,
% 39.68/39.51 (P8(a61,f36(f36(f9(a61),f13(a61,f42(x37601,a2))),f4(a61)),f36(f36(f9(a61),f13(a61,f42(x37601,a2))),f42(x37601,a2)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806])).
% 39.68/39.51 cnf(3766,plain,
% 39.68/39.51 (~P7(a59,f36(f36(f23(a59),f10(a59)),f12(a1,x37661,f10(a1))),f36(f36(f23(a59),f4(a59)),f12(a1,x37661,f10(a1))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831])).
% 39.68/39.51 cnf(3774,plain,
% 39.68/39.51 (~P7(a59,f36(f36(f9(a59),f10(a59)),f10(a59)),f36(f36(f9(a59),f10(a59)),f4(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,351,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688])).
% 39.68/39.51 cnf(3802,plain,
% 39.68/39.51 (P7(a59,f36(f36(f9(a59),f10(a59)),f4(a59)),f36(f36(f9(a59),f10(a59)),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560])).
% 39.68/39.51 cnf(3820,plain,
% 39.68/39.51 (P7(a61,f4(a61),f11(a61,f10(a61),f13(a61,f5(a61,f5(a61,f4(a61))))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453])).
% 39.68/39.51 cnf(3822,plain,
% 39.68/39.51 (~P7(a59,f4(a59),f36(f36(f9(a59),f10(a59)),f5(a59,f10(a59))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451])).
% 39.68/39.51 cnf(3824,plain,
% 39.68/39.51 (~P7(a59,f4(a59),f36(f36(f9(a59),f5(a59,f10(a59))),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450])).
% 39.68/39.51 cnf(3840,plain,
% 39.68/39.51 (P7(a59,f36(f36(f9(a59),f4(a59)),f4(a59)),f4(a59))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422])).
% 39.68/39.51 cnf(3848,plain,
% 39.68/39.51 (P8(a59,f10(a59),f36(f36(f9(a59),f12(a59,f10(a59),f10(a59))),f12(a59,f10(a59),f10(a59))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415])).
% 39.68/39.51 cnf(3850,plain,
% 39.68/39.51 (P8(a59,f4(a59),f36(f36(f9(a59),f10(a59)),f10(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414])).
% 39.68/39.51 cnf(3854,plain,
% 39.68/39.51 (~P10(f62(a2),f36(f36(f23(f62(a2)),f15(a2,f5(a2,x38541),f15(a2,f10(a2),f4(f62(a2))))),f12(a1,f17(a2,x38541,a63),f10(a1))),f21(a2,f36(f14(a2,a63),a64),a63))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354])).
% 39.68/39.51 cnf(3856,plain,
% 39.68/39.51 (~P8(a61,f13(a61,f10(a61)),f4(a61))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,225,226,229,230,232,233,236,238,239,241,246,247,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078])).
% 39.68/39.51 cnf(3860,plain,
% 39.68/39.51 (~E(f36(f36(f9(a61),f10(a61)),f10(a61)),f4(a61))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845])).
% 39.68/39.51 cnf(3868,plain,
% 39.68/39.51 (~P8(a59,f36(f36(f9(a59),x38681),f4(a59)),f36(f36(f9(a59),x38682),f4(a59)))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,492,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663])).
% 39.68/39.51 cnf(3870,plain,
% 39.68/39.51 (~P8(a61,f4(a61),f12(a61,f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61))),f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61)))))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,492,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802])).
% 39.68/39.51 cnf(3872,plain,
% 39.68/39.51 (P7(a61,f12(a61,f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61))),f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61)))),f4(a61))),
% 39.68/39.51 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,492,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709])).
% 39.68/39.52 cnf(3874,plain,
% 39.68/39.52 (E(f12(a59,f36(f36(f9(a59),f5(a59,f4(a59))),f5(a59,f4(a59))),f36(f36(f9(a59),f5(a59,f4(a59))),f5(a59,f4(a59)))),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,492,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709,1252])).
% 39.68/39.52 cnf(3892,plain,
% 39.68/39.52 (~P7(a59,f12(a59,f36(f36(f9(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))),f4(a59)),f4(a59)),f12(a59,f36(f36(f9(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))),f10(a59)),f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,492,435,437,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709,1252,1716,1786,1214,1835,1811,1810,1843,1834,1833])).
% 39.68/39.52 cnf(3897,plain,
% 39.68/39.52 (~E(f12(a1,x38971,f10(a1)),f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[569])).
% 39.68/39.52 cnf(3901,plain,
% 39.68/39.52 (~E(f12(a1,x39011,f10(a1)),f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[569])).
% 39.68/39.52 cnf(3903,plain,
% 39.68/39.52 (~E(f12(a59,f10(a59),f4(a59)),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,3897,492,435,437,486,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709,1252,1716,1786,1214,1835,1811,1810,1843,1834,1833,1666,1151,1150,1267])).
% 39.68/39.52 cnf(3904,plain,
% 39.68/39.52 (P7(a59,x39041,x39041)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(3908,plain,
% 39.68/39.52 (~E(f36(f36(f23(a1),x39081),f11(a1,x39082,x39082)),f4(a1))),
% 39.68/39.52 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,205,206,207,208,209,210,212,213,217,219,221,224,225,226,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,270,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,3897,492,435,437,486,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709,1252,1716,1786,1214,1835,1811,1810,1843,1834,1833,1666,1151,1150,1267,1266,889])).
% 39.68/39.52 cnf(3914,plain,
% 39.68/39.52 (P8(a59,f36(f36(f9(a59),f4(a59)),f4(a59)),f36(f36(f9(a59),f10(a59)),f10(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,3904,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,204,205,206,207,208,209,210,212,213,217,219,220,221,224,225,226,228,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,270,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,3897,492,429,435,437,486,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709,1252,1716,1786,1214,1835,1811,1810,1843,1834,1833,1666,1151,1150,1267,1266,889,1635,888,1731])).
% 39.68/39.52 cnf(3935,plain,
% 39.68/39.52 (P7(a61,f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61))),f5(a61,f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61)))))),
% 39.68/39.52 inference(scs_inference,[],[541,432,2206,2222,2276,2279,2292,2309,2897,433,1899,1905,2324,2568,2574,3904,434,1989,2742,558,1976,1979,1993,1995,2027,2050,2099,2199,2282,2562,2565,2845,2848,2865,2868,201,202,204,205,206,207,208,209,210,212,213,217,219,220,221,224,225,226,228,229,230,232,233,236,238,239,241,245,246,247,248,249,251,252,255,256,258,263,264,265,266,267,268,269,270,273,274,276,277,278,280,281,284,287,289,290,292,293,296,300,302,305,306,307,309,310,312,315,316,317,319,320,321,324,325,326,329,330,333,337,338,339,340,341,342,345,346,348,349,351,352,354,355,356,357,358,359,360,361,365,366,367,369,370,372,375,378,379,380,381,382,385,386,387,389,390,391,392,393,394,397,398,399,400,401,402,403,404,406,407,408,413,414,417,441,1991,2006,2013,2111,2207,2236,2256,2259,2262,2275,2289,2301,2327,561,2016,2087,2265,571,546,547,550,426,425,427,451,452,552,553,487,555,422,423,556,447,539,534,580,421,1881,1948,1985,1987,2046,2080,2323,2530,2553,2556,2559,2577,2583,2873,2884,2887,2975,473,1894,1902,1914,1917,2239,2247,2304,474,2244,475,2005,476,1886,575,1889,1925,1928,1940,576,1920,1937,2298,460,2216,2219,2319,461,439,480,2033,2038,2042,2049,2058,2063,2100,2233,2283,2286,2295,2518,2521,2524,2527,2571,2856,2876,2879,577,1931,1934,1982,2105,477,1963,2274,478,2165,442,443,444,445,2057,446,563,1945,1997,2064,2077,2096,2110,2132,2139,2162,2175,2178,2190,2225,2230,2316,2320,2543,2546,2580,2837,2842,2851,2890,2952,428,518,2030,2039,519,494,470,481,3418,469,479,569,1960,1970,1973,2045,3475,3897,3901,492,429,435,437,486,578,536,2250,537,507,520,512,2,814,788,787,799,927,811,966,929,1366,1365,1294,1292,1288,1287,1283,1275,1274,1273,1183,1164,1163,1161,1159,1157,1098,962,908,792,696,1110,16,10,1583,1379,970,919,862,1174,1173,810,1479,1477,1476,157,153,118,117,115,114,3,995,994,993,971,933,931,915,853,826,825,716,714,1338,1370,1352,1350,1349,1348,723,1426,928,1522,1278,850,1364,1521,1045,1043,1042,836,673,672,658,1318,1211,1094,1090,677,675,1665,1609,1608,1107,1106,1073,1071,1070,1069,1067,1064,1062,1039,1027,882,735,671,670,669,668,666,656,653,1343,1342,1341,1340,1339,1025,981,842,745,865,864,863,855,798,797,851,1587,1467,1859,1858,1857,1856,1850,1849,1847,1830,1829,1819,1818,1866,1855,1817,1816,1141,1140,1139,1138,1137,1136,1135,1134,1007,945,939,937,883,1147,1146,1351,1390,1389,1388,1387,1386,1547,1546,1545,1544,1592,1431,1235,1234,891,1632,1673,1229,904,903,849,848,847,789,708,707,694,693,698,1221,1286,1192,1190,1187,1186,1181,1099,963,961,960,898,725,724,711,710,664,663,662,661,660,659,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,1594,1586,1207,953,856,807,806,796,795,794,771,770,739,706,689,687,686,1251,1250,1205,1145,1143,955,1109,1049,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,9,8,7,6,5,4,1839,1825,1791,1597,1595,1584,1548,1504,1503,1381,1380,1378,1377,1376,1375,1374,1373,1372,1305,1303,1282,1281,1249,1213,1176,1175,1077,1076,1010,1009,1003,974,969,965,964,912,911,909,890,866,860,859,857,781,780,779,774,756,755,754,753,744,734,733,732,730,729,728,726,722,721,720,719,718,717,680,679,678,645,644,643,1739,1734,1589,1532,1509,1508,1480,1457,1441,1439,1438,1280,1255,1254,1253,1170,1130,1129,833,832,830,695,1700,1699,1644,1149,936,1606,1516,1515,1493,1492,1328,1312,1311,1268,1242,1172,1171,1105,1104,1080,1046,1008,959,958,924,923,895,858,843,837,809,808,804,803,802,791,790,776,772,766,764,763,761,760,759,748,747,743,741,740,705,690,651,650,649,1330,1241,1240,1842,1841,1798,1768,1767,1705,1676,1662,1661,1660,1639,1638,1637,1623,1622,1621,1620,1619,1502,1501,1500,1478,1473,1472,1470,1468,1461,1458,1443,1382,1337,1336,1335,1333,1317,1300,1236,1197,1193,1178,1177,1169,1128,1126,1115,1113,1112,1111,1096,1086,1059,1057,1048,1024,1023,947,935,874,819,818,782,765,1836,1757,1737,1720,1719,1697,1657,1652,1616,1615,1577,1576,1574,1573,1539,1538,1525,1514,1512,1511,1496,1495,1442,1204,1202,1133,1132,1844,1783,1770,1723,1722,1678,1677,1672,1671,1659,1658,892,1814,1795,1782,1781,1772,1845,1821,1701,1864,1865,200,199,198,197,196,195,194,193,191,188,186,178,177,176,175,174,173,172,171,170,168,167,166,165,162,161,159,155,151,150,147,146,145,144,142,141,140,139,136,132,131,130,129,127,126,121,120,116,113,112,1103,1102,1101,990,986,973,918,916,873,868,854,1758,1299,1298,1464,1463,1363,1361,1360,1359,1012,967,777,773,702,1466,1465,1462,1358,1357,1356,1355,1315,1314,1257,1209,1285,1284,1199,1198,1153,1152,1122,1082,1081,1021,979,978,1121,1013,738,1751,1750,1460,1459,1347,1269,1258,1155,1154,1084,1083,1523,1519,1474,1436,1385,1279,1002,1001,1000,998,997,840,839,737,736,685,684,683,1785,1784,1628,1627,1626,1625,1491,1490,1489,1488,1487,1371,1270,1148,952,951,950,949,1846,1194,1520,1044,1017,1016,1015,1014,920,829,746,665,652,647,1792,1534,925,816,1763,1601,1599,1406,1404,1403,1393,1392,1391,1319,1210,1123,1092,1088,1054,1041,813,1301,1820,1607,1398,1227,1219,1218,1217,1072,1037,1035,1032,1031,1030,1029,1028,1026,861,838,800,767,750,749,681,655,654,1593,1231,1230,1226,1225,1224,1223,1222,976,975,758,751,1708,1680,1787,1646,1590,885,884,827,817,805,1696,897,1800,1799,1707,1706,1636,1518,1517,1326,1324,1239,1131,812,1848,1717,1445,1668,1667,1368,1367,1761,1746,1870,1863,1862,1861,1860,1854,1853,1852,1851,1828,1827,1060,881,875,1780,1578,1778,1641,1640,1369,704,703,778,1614,1533,1394,1682,1543,1541,1220,1537,1309,1307,1806,1789,1698,1831,1693,1557,1689,1688,1687,1685,1650,1649,1648,1647,1591,1567,1566,1565,1564,1563,1561,1560,1559,1556,1555,1551,1550,1506,1505,1456,1453,1451,1450,1449,1434,1433,1432,1430,1425,1424,1422,1420,1418,1417,1415,1414,1410,1354,1078,846,845,834,1803,1664,1663,1802,1709,1252,1716,1786,1214,1835,1811,1810,1843,1834,1833,1666,1151,1150,1267,1266,889,1635,888,1731,1730,1729,1728,1727,1726,828,1588,1585,906,1327])).
% 39.68/39.52 cnf(4001,plain,
% 39.68/39.52 (E(x40011,f12(a1,f4(a1),x40011))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4003,plain,
% 39.68/39.52 (~P8(a61,x40031,x40031)),
% 39.68/39.52 inference(rename_variables,[],[2002])).
% 39.68/39.52 cnf(4006,plain,
% 39.68/39.52 (E(x40061,f12(a1,f4(a1),x40061))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4008,plain,
% 39.68/39.52 (E(x40081,f12(a1,f4(a1),x40081))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4010,plain,
% 39.68/39.52 (E(x40101,f12(a1,f4(a1),x40101))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4012,plain,
% 39.68/39.52 (E(x40121,f12(a1,f4(a1),x40121))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4014,plain,
% 39.68/39.52 (E(x40141,f12(a1,f4(a1),x40141))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4016,plain,
% 39.68/39.52 (E(x40161,f12(a1,f4(a1),x40161))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4018,plain,
% 39.68/39.52 (E(x40181,f12(a1,f4(a1),x40181))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4020,plain,
% 39.68/39.52 (E(x40201,f12(a1,f4(a1),x40201))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4022,plain,
% 39.68/39.52 (E(x40221,f12(a1,f4(a1),x40221))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4024,plain,
% 39.68/39.52 (E(x40241,f12(a1,f4(a1),x40241))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4026,plain,
% 39.68/39.52 (E(x40261,f12(a1,f4(a1),x40261))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4028,plain,
% 39.68/39.52 (E(x40281,f12(a1,f4(a1),x40281))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4030,plain,
% 39.68/39.52 (E(x40301,f12(a1,f4(a1),x40301))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4032,plain,
% 39.68/39.52 (E(x40321,f12(a1,f4(a1),x40321))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4034,plain,
% 39.68/39.52 (E(x40341,f12(a1,f4(a1),x40341))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4035,plain,
% 39.68/39.52 (P47(f12(a1,f4(a1),a61))),
% 39.68/39.52 inference(scs_inference,[],[244,271,291,303,308,373,388,405,409,412,390,400,398,401,267,407,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,2002,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156])).
% 39.68/39.52 cnf(4036,plain,
% 39.68/39.52 (E(x40361,f12(a1,f4(a1),x40361))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4038,plain,
% 39.68/39.52 (E(x40381,f12(a1,f4(a1),x40381))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4040,plain,
% 39.68/39.52 (E(x40401,f12(a1,f4(a1),x40401))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4042,plain,
% 39.68/39.52 (E(x40421,f12(a1,f4(a1),x40421))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4044,plain,
% 39.68/39.52 (E(x40441,f12(a1,f4(a1),x40441))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4046,plain,
% 39.68/39.52 (E(x40461,f12(a1,f4(a1),x40461))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4048,plain,
% 39.68/39.52 (E(x40481,f12(a1,f4(a1),x40481))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4050,plain,
% 39.68/39.52 (E(x40501,f12(a1,f4(a1),x40501))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4052,plain,
% 39.68/39.52 (E(x40521,f12(a1,f4(a1),x40521))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4054,plain,
% 39.68/39.52 (E(x40541,f12(a1,f4(a1),x40541))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4056,plain,
% 39.68/39.52 (E(x40561,f12(a1,f4(a1),x40561))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4058,plain,
% 39.68/39.52 (E(x40581,f12(a1,f4(a1),x40581))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4060,plain,
% 39.68/39.52 (E(x40601,f12(a1,f4(a1),x40601))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4061,plain,
% 39.68/39.52 (~P10(f62(a2),f21(a2,x40611,f36(f36(f23(f62(a2)),f15(a2,f5(a2,x40612),f15(a2,f10(a2),f4(f62(a2))))),f12(a1,f17(a2,x40612,a63),f10(a1)))),f21(a2,f36(f14(a2,a63),a64),a63))),
% 39.68/39.52 inference(scs_inference,[],[231,237,244,257,271,291,303,308,371,373,388,395,405,409,412,390,400,392,398,401,406,267,340,306,407,315,386,403,206,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3854,2002,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344])).
% 39.68/39.52 cnf(4065,plain,
% 39.68/39.52 (~P8(a61,f10(a61),f13(a61,f10(a61)))),
% 39.68/39.52 inference(scs_inference,[],[231,237,244,257,271,291,303,308,371,373,388,395,405,409,412,390,400,392,398,401,406,267,340,306,407,315,386,403,206,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3854,2002,4003,2733,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065])).
% 39.68/39.52 cnf(4069,plain,
% 39.68/39.52 (P7(a61,f13(a61,f10(a61)),f10(a61))),
% 39.68/39.52 inference(scs_inference,[],[231,237,244,257,271,291,303,308,371,373,388,395,405,409,412,434,390,400,392,398,401,406,267,340,306,407,315,386,403,206,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3854,2002,4003,2752,2733,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036])).
% 39.68/39.52 cnf(4073,plain,
% 39.68/39.52 (P10(a2,x40731,f36(f36(f9(a2),f36(f36(f9(a2),f36(f14(a2,a63),a64)),f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))),x40732))),
% 39.68/39.52 inference(scs_inference,[],[231,237,244,257,271,291,303,308,371,373,383,388,395,405,409,412,434,390,400,563,392,398,401,406,267,340,306,407,315,386,403,206,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3854,2002,4003,3359,2052,2752,2733,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142])).
% 39.68/39.52 cnf(4074,plain,
% 39.68/39.52 (P10(a2,x40741,f36(f36(f9(a2),x40742),f36(f36(f23(a2),x40742),f11(a1,a67,f12(a1,f4(a1),f10(a1))))))),
% 39.68/39.52 inference(rename_variables,[],[2052])).
% 39.68/39.52 cnf(4078,plain,
% 39.68/39.52 (E(f36(f36(f9(a59),x40781),f10(a59)),x40781)),
% 39.68/39.52 inference(rename_variables,[],[430])).
% 39.68/39.52 cnf(4081,plain,
% 39.68/39.52 (~P8(a59,x40811,x40811)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4083,plain,
% 39.68/39.52 (~P7(a61,f19(a2,f36(f14(a2,a69),f4(a2))),f36(f36(f9(a61),f5(a61,f5(a61,f4(a61)))),f19(a2,x40831)))),
% 39.68/39.52 inference(scs_inference,[],[1874,231,237,244,257,271,291,303,308,371,373,383,388,395,405,409,412,430,434,390,400,556,563,392,398,401,406,267,340,306,407,315,386,403,385,206,552,1883,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3854,2002,4003,3359,2052,2752,3850,3541,2733,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568])).
% 39.68/39.52 cnf(4086,plain,
% 39.68/39.52 (P8(a1,x40861,f12(a1,x40861,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4089,plain,
% 39.68/39.52 (P8(a1,x40891,f12(a1,x40891,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4102,plain,
% 39.68/39.52 (~P8(a61,f36(f36(f9(a61),f10(a61)),f10(a61)),f36(f36(f9(a61),f10(a61)),f13(a61,f5(a61,f5(a61,f4(a61))))))),
% 39.68/39.52 inference(scs_inference,[],[1874,231,237,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,430,434,390,400,441,561,556,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,305,552,1883,2786,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,3854,2002,4003,3359,2052,3456,2752,3850,3541,2536,2733,3313,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690])).
% 39.68/39.52 cnf(4107,plain,
% 39.68/39.52 (P7(a59,f4(a59),f36(f36(f9(a59),x41071),x41071))),
% 39.68/39.52 inference(rename_variables,[],[2754])).
% 39.68/39.52 cnf(4109,plain,
% 39.68/39.52 (P7(a61,f10(a61),f13(a61,f10(a61)))),
% 39.68/39.52 inference(scs_inference,[],[1874,231,237,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,430,513,434,390,400,441,561,556,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,305,552,1883,2786,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,3854,2002,4003,3359,2052,3456,2752,3822,3850,3541,2754,2536,2733,3313,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246])).
% 39.68/39.52 cnf(4110,plain,
% 39.68/39.52 (P7(a61,x41101,x41101)),
% 39.68/39.52 inference(rename_variables,[],[434])).
% 39.68/39.52 cnf(4112,plain,
% 39.68/39.52 (~P8(a61,f13(a61,f10(a61)),f10(a61))),
% 39.68/39.52 inference(scs_inference,[],[1874,231,237,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,430,513,434,390,400,441,561,556,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,305,552,1883,2786,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,3854,2002,4003,3359,2052,3456,2752,3822,3850,3541,2754,2536,2733,3313,2774,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216])).
% 39.68/39.52 cnf(4113,plain,
% 39.68/39.52 (~P8(a61,x41131,x41131)),
% 39.68/39.52 inference(rename_variables,[],[2002])).
% 39.68/39.52 cnf(4116,plain,
% 39.68/39.52 (~E(f12(a1,x41161,f12(a1,x41162,f10(a1))),x41162)),
% 39.68/39.52 inference(rename_variables,[],[1939])).
% 39.68/39.52 cnf(4117,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x41171,f10(a1)),x41172),x41171)),
% 39.68/39.52 inference(rename_variables,[],[2022])).
% 39.68/39.52 cnf(4120,plain,
% 39.68/39.52 (P7(a1,x41201,f12(a1,x41202,x41201))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4122,plain,
% 39.68/39.52 (P7(a1,f4(a1),x41221)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4125,plain,
% 39.68/39.52 (P7(a59,x41251,x41251)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(4127,plain,
% 39.68/39.52 (P7(a59,f36(f36(f9(a59),f10(a59)),f10(a59)),f10(a59))),
% 39.68/39.52 inference(scs_inference,[],[1874,231,237,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,430,513,433,4125,434,390,400,441,4122,561,556,473,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,1883,2786,3363,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,3854,2002,4003,3359,2052,3456,2752,3822,3850,3541,2754,2536,2733,3313,2774,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570])).
% 39.68/39.52 cnf(4128,plain,
% 39.68/39.52 (P7(a59,x41281,x41281)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(4131,plain,
% 39.68/39.52 (P7(a61,x41311,x41311)),
% 39.68/39.52 inference(rename_variables,[],[434])).
% 39.68/39.52 cnf(4134,plain,
% 39.68/39.52 (~P8(a59,x41341,x41341)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4143,plain,
% 39.68/39.52 (P7(a1,f4(a1),x41431)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4144,plain,
% 39.68/39.52 (~P7(a1,f12(a1,x41441,f10(a1)),x41441)),
% 39.68/39.52 inference(rename_variables,[],[577])).
% 39.68/39.52 cnf(4145,plain,
% 39.68/39.52 (P7(a1,x41451,f12(a1,x41452,x41451))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4147,plain,
% 39.68/39.52 (P7(a59,f10(a59),f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,390,400,441,4122,561,556,473,4120,577,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,1883,2125,3717,2786,3363,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,2141,3854,2002,4003,3359,2052,3456,2752,3822,3850,3541,2754,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926])).
% 39.68/39.52 cnf(4167,plain,
% 39.68/39.52 (~E(x41671,f12(a1,f12(a1,x41671,f10(a1)),x41672))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,561,556,473,4120,577,4144,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2125,3717,2786,3363,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,2141,3854,2002,4003,3359,2052,3448,3456,2752,3822,3850,3541,2754,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908])).
% 39.68/39.52 cnf(4169,plain,
% 39.68/39.52 (~E(f36(f36(f9(a1),f36(f36(f9(a1),x41691),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1)))),x41692),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,561,556,473,4120,577,4144,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2125,2579,3717,2786,3363,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3389,3820,2115,2141,3854,2002,4003,3359,2052,3448,3456,2752,3822,3850,3541,2754,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110])).
% 39.68/39.52 cnf(4176,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x41761,f10(a1)),x41762),f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[2532])).
% 39.68/39.52 cnf(4181,plain,
% 39.68/39.52 (E(f12(a61,f5(a61,x41811),x41811),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,561,556,473,4120,577,4144,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2125,2579,3717,2786,3363,3501,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,2141,3854,2002,4003,3359,2052,2532,3448,3456,2752,3822,3850,3541,2754,3347,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810])).
% 39.68/39.52 cnf(4183,plain,
% 39.68/39.52 (P7(a1,x41831,f12(a1,f12(a1,x41832,f11(a1,x41831,x41833)),x41833))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,561,556,473,4120,4145,577,4144,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2125,2579,3717,2786,3363,3501,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,2141,3854,2002,4003,3359,2052,2532,3448,3456,2752,3822,3850,3541,2754,3347,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476])).
% 39.68/39.52 cnf(4184,plain,
% 39.68/39.52 (P7(a1,x41841,f12(a1,x41842,x41841))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4186,plain,
% 39.68/39.52 (P9(x41861,x41862,f36(f9(a1),f3(a59,f4(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,561,556,473,4120,4145,577,4144,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2883,2125,2579,3717,2786,3363,3501,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,2141,3854,2002,4003,3359,2052,2532,3448,3456,2752,3822,3850,3541,2754,3347,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874])).
% 39.68/39.52 cnf(4190,plain,
% 39.68/39.52 (P7(a1,f4(a1),x41901)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4192,plain,
% 39.68/39.52 (~P7(a61,f13(a61,f10(a61)),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,561,556,473,4120,4145,577,4144,563,392,398,401,406,480,4086,267,340,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2883,2125,2579,3717,2786,3363,3501,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,2143,2141,3854,2002,4003,3359,2052,2532,3448,2691,3456,2752,3822,3850,3541,3856,2754,3347,2536,2733,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918])).
% 39.68/39.52 cnf(4197,plain,
% 39.68/39.52 (P8(a1,x41971,f12(a1,x41971,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4200,plain,
% 39.68/39.52 (P7(a1,f8(a1,x42001,x42002),x42001)),
% 39.68/39.52 inference(rename_variables,[],[476])).
% 39.68/39.52 cnf(4201,plain,
% 39.68/39.52 (P8(a1,f4(a1),f12(a1,x42011,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[481])).
% 39.68/39.52 cnf(4204,plain,
% 39.68/39.52 (~P8(a1,x42041,x42041)),
% 39.68/39.52 inference(rename_variables,[],[558])).
% 39.68/39.52 cnf(4206,plain,
% 39.68/39.52 (~P8(a59,f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59)),f12(a59,f4(a59),f10(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,267,340,578,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,3239,2883,2125,2579,3717,2786,3363,3501,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,2143,2141,3854,2002,4003,3359,2052,2532,3448,2691,3456,2752,3822,3850,3541,3856,2754,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299])).
% 39.68/39.52 cnf(4207,plain,
% 39.68/39.52 (~E(f12(a59,f12(a59,f10(a59),x42071),x42071),f4(a59))),
% 39.68/39.52 inference(rename_variables,[],[578])).
% 39.68/39.52 cnf(4210,plain,
% 39.68/39.52 (~E(f12(a1,x42101,f12(a1,f4(a1),f10(a1))),x42101)),
% 39.68/39.52 inference(rename_variables,[],[1944])).
% 39.68/39.52 cnf(4216,plain,
% 39.68/39.52 (~P10(a59,f36(f36(f9(a59),x42161),f5(a59,f4(a59))),f10(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,207,267,340,578,306,407,315,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,3363,3501,1939,2022,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,2143,2141,3854,2002,4003,3359,2052,2532,3448,2691,3456,2752,3822,3850,3541,3856,2754,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284])).
% 39.68/39.52 cnf(4227,plain,
% 39.68/39.52 (P7(a59,f4(a59),f36(f36(f9(a59),x42271),x42271))),
% 39.68/39.52 inference(rename_variables,[],[2754])).
% 39.68/39.52 cnf(4229,plain,
% 39.68/39.52 (~E(f12(a1,f4(a1),f10(a1)),f12(a1,f12(a1,f4(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,231,237,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013])).
% 39.68/39.52 cnf(4230,plain,
% 39.68/39.52 (~E(f12(a1,x42301,f12(a1,f4(a1),f10(a1))),x42301)),
% 39.68/39.52 inference(rename_variables,[],[1944])).
% 39.68/39.52 cnf(4235,plain,
% 39.68/39.52 (P8(a1,x42351,f12(a1,x42351,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4246,plain,
% 39.68/39.52 (P10(a59,f36(f36(f23(a59),x42461),f4(a1)),f36(f36(f23(a59),x42461),x42462))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,448,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385])).
% 39.68/39.52 cnf(4253,plain,
% 39.68/39.52 (P8(a1,x42531,f12(a1,x42531,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4257,plain,
% 39.68/39.52 (~P7(a61,f36(f36(f9(a61),f10(a61)),f36(f36(f9(a61),f10(a61)),f42(x42571,a2))),f36(f36(f9(a61),f10(a61)),f36(f36(f9(a61),f13(a61,f5(a61,f5(a61,f4(a61))))),f42(x42571,a2))))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,448,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627])).
% 39.68/39.52 cnf(4259,plain,
% 39.68/39.52 (P8(a61,f36(f36(f9(a61),f10(a61)),f4(a61)),f36(f36(f9(a61),f10(a61)),f10(a61)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,448,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491])).
% 39.68/39.52 cnf(4261,plain,
% 39.68/39.52 (P8(a61,f36(f36(f9(a61),f4(a61)),f10(a61)),f36(f36(f9(a61),f10(a61)),f10(a61)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,257,271,291,303,308,314,368,371,373,383,388,395,405,409,412,548,448,430,513,433,4125,4128,434,4110,558,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490])).
% 39.68/39.52 cnf(4268,plain,
% 39.68/39.52 (~E(f21(a2,f13(a2,f36(f14(a2,a69),f4(a2))),a69),f4(f62(a2)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,448,430,545,513,433,4125,4128,434,4110,558,248,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672])).
% 39.68/39.52 cnf(4272,plain,
% 39.68/39.52 (E(x42721,f5(a61,f36(f36(f9(a59),f5(a61,x42721)),f10(a59))))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,448,430,4078,545,513,433,4125,4128,434,4110,558,248,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675])).
% 39.68/39.52 cnf(4273,plain,
% 39.68/39.52 (E(f36(f36(f9(a59),x42731),f10(a59)),x42731)),
% 39.68/39.52 inference(rename_variables,[],[430])).
% 39.68/39.52 cnf(4275,plain,
% 39.68/39.52 (P7(a1,f36(f36(f9(a1),f12(a1,x42751,f10(a1))),f36(f36(f9(a59),f8(a1,x42752,f12(a1,x42751,f10(a1)))),f10(a59))),x42752)),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,448,430,4078,4273,545,513,433,4125,4128,434,4110,558,248,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,578,306,407,315,208,263,386,403,385,206,264,451,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301])).
% 39.68/39.52 cnf(4276,plain,
% 39.68/39.52 (E(f36(f36(f9(a59),x42761),f10(a59)),x42761)),
% 39.68/39.52 inference(rename_variables,[],[430])).
% 39.68/39.52 cnf(4294,plain,
% 39.68/39.52 (E(x42941,f12(a1,f4(a1),x42941))),
% 39.68/39.52 inference(rename_variables,[],[2029])).
% 39.68/39.52 cnf(4296,plain,
% 39.68/39.52 (P10(a59,f36(f36(f9(a59),f12(a59,f5(a59,x42961),x42961)),x42962),f36(f36(f9(a59),f12(a59,f5(a59,x42961),x42961)),x42963))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,456,448,430,4078,4273,4276,436,545,513,433,4125,4128,434,4110,558,248,390,400,441,4122,4143,4190,561,556,473,4120,4145,476,577,4144,563,481,4201,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,393,578,306,407,239,315,208,263,386,403,385,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,4230,3363,3501,1939,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231])).
% 39.68/39.52 cnf(4303,plain,
% 39.68/39.52 (P7(a1,x43031,f12(a1,x43032,x43031))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4306,plain,
% 39.68/39.52 (~P8(a1,x43061,x43061)),
% 39.68/39.52 inference(rename_variables,[],[558])).
% 39.68/39.52 cnf(4311,plain,
% 39.68/39.52 (~E(x43111,f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,x43111,f10(a1))),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.52 inference(rename_variables,[],[2098])).
% 39.68/39.52 cnf(4326,plain,
% 39.68/39.52 (P8(a1,f4(a1),f12(a1,x43261,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[481])).
% 39.68/39.52 cnf(4329,plain,
% 39.68/39.52 (P7(a1,f4(a1),x43291)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4332,plain,
% 39.68/39.52 (~P8(a1,x43321,x43321)),
% 39.68/39.52 inference(rename_variables,[],[558])).
% 39.68/39.52 cnf(4338,plain,
% 39.68/39.52 (E(f12(a1,x43381,f12(a1,x43382,x43383)),f12(a1,x43382,f12(a1,x43381,x43383)))),
% 39.68/39.52 inference(rename_variables,[],[497])).
% 39.68/39.52 cnf(4341,plain,
% 39.68/39.52 (~E(f12(a1,x43411,f10(a1)),f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[569])).
% 39.68/39.52 cnf(4343,plain,
% 39.68/39.52 (~E(f12(a1,f36(f36(f9(a1),f4(a1)),x43431),f12(a1,f4(a1),f10(a1))),f12(a1,f36(f36(f9(a1),x43432),x43431),f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,456,448,430,4078,4273,4276,497,436,489,545,513,433,4125,4128,434,4110,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,476,577,4144,563,481,4201,569,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,393,578,4207,306,407,239,315,208,263,386,403,380,385,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818])).
% 39.68/39.52 cnf(4344,plain,
% 39.68/39.52 (~E(f12(a1,f4(a1),f10(a1)),f12(a1,x43441,f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.52 inference(rename_variables,[],[3401])).
% 39.68/39.52 cnf(4354,plain,
% 39.68/39.52 (~P10(f62(a59),f36(f36(f23(f62(a59)),f15(a59,f5(a59,x43541),f15(a59,f10(a59),f4(f62(a59))))),f12(a1,f17(a59,x43541,f12(a1,f12(a1,f4(f62(a59)),f10(a1)),x43542)),f10(a1))),f12(a1,f12(a1,f4(f62(a59)),f10(a1)),x43542))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,203,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,456,448,430,4078,4273,4276,497,436,489,545,513,433,4125,4128,434,4110,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,476,577,4144,563,481,4201,569,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,393,578,4207,306,407,239,315,208,263,386,403,380,385,397,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870])).
% 39.68/39.52 cnf(4356,plain,
% 39.68/39.52 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,x43561,x43561)),x43562),x43563),x43563)),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,4134,203,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,456,448,430,4078,4273,4276,497,436,489,545,513,433,4125,4128,434,4110,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,476,577,4144,563,481,4201,569,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,393,578,4207,306,407,239,315,208,263,386,403,380,385,397,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863])).
% 39.68/39.52 cnf(4358,plain,
% 39.68/39.52 (~P8(a59,x43581,f12(a59,f36(f36(f9(a59),f11(a59,x43582,x43582)),x43583),x43581))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,4134,203,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,456,448,430,4078,4273,4276,497,436,489,545,513,433,4125,4128,434,4110,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,476,577,4144,563,481,4201,569,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,393,578,4207,306,407,239,315,208,263,386,403,380,385,397,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861])).
% 39.68/39.52 cnf(4367,plain,
% 39.68/39.52 (E(f12(a59,x43671,f12(a59,x43672,x43673)),f12(a59,x43672,f12(a59,x43671,x43673)))),
% 39.68/39.52 inference(rename_variables,[],[498])).
% 39.68/39.52 cnf(4382,plain,
% 39.68/39.52 (P10(a59,f36(f36(f23(a59),x43821),f11(a1,f4(a1),x43822)),f36(f36(f23(a59),x43821),f12(a1,f36(f36(f9(a1),f11(a1,f12(a1,x43823,x43824),x43824)),x43825),x43826)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,4134,203,214,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,497,498,4367,436,489,545,513,433,4125,4128,434,4110,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,475,476,577,4144,563,481,4201,569,4341,202,392,398,401,406,480,4086,4089,4197,4235,256,207,267,340,341,393,578,4207,306,407,239,315,208,263,386,403,380,385,397,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2072,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614])).
% 39.68/39.52 cnf(4383,plain,
% 39.68/39.52 (P7(a1,f11(a1,x43831,x43832),x43831)),
% 39.68/39.52 inference(rename_variables,[],[475])).
% 39.68/39.52 cnf(4391,plain,
% 39.68/39.52 (~P10(a59,f36(f36(f9(a59),f5(a59,f4(a59))),f12(a59,f12(a59,f10(a59),x43911),x43911)),f36(f36(f9(a59),f10(a59)),f12(a59,f12(a59,f10(a59),x43911),x43911)))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,4134,203,214,231,237,240,242,243,244,250,257,271,291,303,308,314,318,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,497,498,4367,436,489,545,513,433,4125,4128,434,4110,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,475,476,577,4144,563,481,4201,569,4341,202,392,398,401,406,480,4086,4089,4197,4235,4253,256,207,267,340,341,393,578,4207,306,407,239,315,208,263,386,338,403,380,385,397,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,3717,2072,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,2141,3854,2002,4003,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591])).
% 39.68/39.52 cnf(4400,plain,
% 39.68/39.52 (P7(a61,x44001,x44001)),
% 39.68/39.52 inference(rename_variables,[],[434])).
% 39.68/39.52 cnf(4403,plain,
% 39.68/39.52 (P8(a1,x44031,f12(a1,x44031,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4412,plain,
% 39.68/39.52 (~E(f12(a1,x44121,f12(a1,f4(a1),f10(a1))),x44121)),
% 39.68/39.52 inference(rename_variables,[],[1944])).
% 39.68/39.52 cnf(4428,plain,
% 39.68/39.52 (~E(f36(f36(f23(a59),x44281),f11(a1,f4(a1),x44282)),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,4134,203,214,223,227,231,237,240,242,243,244,250,257,271,291,303,308,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,497,498,4367,436,489,545,513,433,4125,4128,434,4110,4131,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,475,476,577,4144,563,481,4201,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,256,207,267,340,341,393,578,4207,306,407,239,315,208,263,386,338,403,555,380,385,397,310,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,2159,3717,3609,2072,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,3587,2141,3854,2002,4003,2341,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889])).
% 39.68/39.52 cnf(4430,plain,
% 39.68/39.52 (P8(a1,f36(f36(f9(a1),f4(a1)),f4(a1)),f36(f36(f9(a1),f12(a1,x44301,f10(a1))),f12(a1,x44301,f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1874,4081,4134,203,214,223,227,231,237,240,242,243,244,250,257,271,291,303,308,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,497,498,4367,436,489,545,513,433,4125,4128,434,4110,4131,558,4204,4306,230,248,390,400,441,4122,4143,4190,4329,561,556,421,473,4120,4145,4184,4303,475,476,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,256,207,267,309,340,341,393,578,4207,306,407,239,315,208,263,386,338,403,555,380,385,397,310,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,2579,3274,2159,3717,3609,2072,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,3587,2141,3854,2002,4003,2341,3605,2369,3359,2052,2532,3766,3448,2691,1901,3456,2752,2411,2433,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731])).
% 39.68/39.52 cnf(4431,plain,
% 39.68/39.52 (P7(a1,f4(a1),x44311)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4434,plain,
% 39.68/39.52 (P7(a1,x44341,f12(a1,x44342,x44341))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4435,plain,
% 39.68/39.52 (P7(a1,f4(a1),x44351)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4438,plain,
% 39.68/39.52 (P7(a1,x44381,f12(a1,x44382,x44381))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4439,plain,
% 39.68/39.52 (P7(a1,x44391,f12(a1,x44391,x44392))),
% 39.68/39.52 inference(rename_variables,[],[474])).
% 39.68/39.52 cnf(4440,plain,
% 39.68/39.52 (P7(a1,f4(a1),x44401)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4443,plain,
% 39.68/39.52 (P7(a61,x44431,x44431)),
% 39.68/39.52 inference(rename_variables,[],[434])).
% 39.68/39.52 cnf(4446,plain,
% 39.68/39.52 (E(f36(f36(f9(a59),f10(a59)),x44461),x44461)),
% 39.68/39.52 inference(rename_variables,[],[436])).
% 39.68/39.52 cnf(4453,plain,
% 39.68/39.52 (~P7(a1,f12(a1,f6(a2,a63),f10(a1)),f12(a1,a67,f10(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,291,303,308,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,497,498,4367,436,489,545,513,433,4125,4128,434,4110,4131,4400,558,4204,4306,226,230,248,390,400,441,4122,4143,4190,4329,4431,4435,561,556,421,473,4120,4145,4184,4303,4434,474,475,476,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,256,207,267,309,340,341,348,393,578,4207,306,407,239,315,208,263,386,338,403,555,380,385,397,310,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2824,3470,3389,3820,2115,3375,2143,3587,2141,3854,2002,4003,2341,3605,2369,3359,2052,2532,3766,3448,2691,1896,1901,3456,2752,2411,2433,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292])).
% 39.68/39.52 cnf(4465,plain,
% 39.68/39.52 (P8(a1,x44651,f11(a1,f12(a1,f12(a1,x44652,f12(a1,x44651,x44653)),f10(a1)),x44653))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,291,303,308,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,497,498,4367,436,489,545,513,433,4125,4128,434,4110,4131,4400,558,4204,4306,226,230,248,390,400,441,4122,4143,4190,4329,4431,4435,561,556,421,473,4120,4145,4184,4303,4434,474,475,476,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,518,256,207,267,309,340,341,348,393,578,4207,306,407,239,315,208,263,386,338,403,555,380,385,397,310,206,379,264,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,1944,4210,4230,3401,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3605,2369,3359,2052,2532,3766,3448,2691,1896,1901,3456,2752,2201,2411,2433,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477])).
% 39.68/39.52 cnf(4466,plain,
% 39.68/39.52 (P8(a1,x44661,f12(a1,f12(a1,x44662,x44661),f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[518])).
% 39.68/39.52 cnf(4469,plain,
% 39.68/39.52 (P7(a1,x44691,f12(a1,x44692,x44691))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4478,plain,
% 39.68/39.52 (E(f36(f36(f9(a59),x44781),f10(a59)),x44781)),
% 39.68/39.52 inference(rename_variables,[],[430])).
% 39.68/39.52 cnf(4484,plain,
% 39.68/39.52 (~P7(a59,f12(a59,f36(f36(f9(a59),f12(a59,f12(a59,f10(a59),x44841),x44841)),f12(a59,f12(a59,f10(a59),x44841),x44841)),f36(f36(f9(a59),x44842),x44842)),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,291,303,308,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,489,545,513,433,4125,4128,434,4110,4131,4400,558,4204,4306,226,230,248,390,400,441,4122,4143,4190,4329,4431,4435,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,476,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,518,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,386,338,403,555,380,385,397,310,206,379,264,266,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,1944,4210,4230,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,1901,3456,2196,2752,2201,2411,2433,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800])).
% 39.68/39.52 cnf(4491,plain,
% 39.68/39.52 (~P8(a1,f12(a1,x44911,x44912),x44912)),
% 39.68/39.52 inference(rename_variables,[],[575])).
% 39.68/39.52 cnf(4494,plain,
% 39.68/39.52 (P8(a1,x44941,f12(a1,x44941,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4497,plain,
% 39.68/39.52 (~P8(a59,x44971,x44971)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4502,plain,
% 39.68/39.52 (E(f36(f36(f9(a59),f10(a59)),x45021),x45021)),
% 39.68/39.52 inference(rename_variables,[],[436])).
% 39.68/39.52 cnf(4504,plain,
% 39.68/39.52 (P8(a61,f36(f36(f9(a61),f4(a61)),f4(a61)),f36(f36(f9(a61),f10(a61)),f10(a61)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,489,545,513,433,4125,4128,434,4110,4131,4400,4443,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,476,575,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,2205,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730])).
% 39.68/39.52 cnf(4505,plain,
% 39.68/39.52 (P7(a61,x45051,x45051)),
% 39.68/39.52 inference(rename_variables,[],[434])).
% 39.68/39.52 cnf(4515,plain,
% 39.68/39.52 (~P8(a1,f11(a1,f12(a1,x45151,x45152),x45152),x45151)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,489,545,513,433,4125,4128,434,4110,4131,4400,4443,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,476,575,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380])).
% 39.68/39.52 cnf(4523,plain,
% 39.68/39.52 (~P8(a1,x45231,f12(a1,f36(f36(f9(a1),f11(a1,x45232,x45232)),x45233),x45231))),
% 39.68/39.52 inference(rename_variables,[],[2198])).
% 39.68/39.52 cnf(4524,plain,
% 39.68/39.52 (~P8(a1,x45241,f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[561])).
% 39.68/39.52 cnf(4535,plain,
% 39.68/39.52 (P7(a1,f4(a1),x45351)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4541,plain,
% 39.68/39.52 (~P7(a59,f5(a59,f5(a59,f10(a59))),f5(a59,f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,433,4125,4128,434,4110,4131,4400,4443,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,476,575,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,2198,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123])).
% 39.68/39.52 cnf(4543,plain,
% 39.68/39.52 (P7(a61,f5(a61,f5(a61,x45431)),x45431)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,476,575,577,4144,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,2198,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092])).
% 39.68/39.52 cnf(4546,plain,
% 39.68/39.52 (P7(a1,f11(a1,x45461,x45462),x45461)),
% 39.68/39.52 inference(rename_variables,[],[475])).
% 39.68/39.52 cnf(4554,plain,
% 39.68/39.52 (P7(a61,f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61))),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,4383,476,575,577,4144,477,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,265,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,2198,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339])).
% 39.68/39.52 cnf(4556,plain,
% 39.68/39.52 (P8(a59,f4(a59),f12(a59,f36(f36(f9(a59),x45561),x45561),f36(f36(f9(a59),f12(a59,f12(a59,f10(a59),x45562),x45562)),f12(a59,f12(a59,f10(a59),x45562),x45562))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,4383,476,575,577,4144,477,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,265,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,1896,2198,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706])).
% 39.68/39.52 cnf(4558,plain,
% 39.68/39.52 (~P7(a1,f12(a1,f36(f36(f9(a1),f4(a1)),x45581),f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f36(f36(f9(a1),f11(a1,x45582,f4(a1))),x45581),x45583))),f12(a1,f36(f36(f9(a1),x45582),x45581),x45583))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,561,556,421,473,4120,4145,4184,4303,4434,4438,474,475,4383,476,575,577,4144,477,563,481,4201,4326,569,4341,202,219,392,398,401,406,480,4086,4089,4197,4235,4253,4403,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,315,208,263,265,386,338,403,555,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3605,2369,3359,2052,2532,3766,3448,2691,2281,1896,2198,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847])).
% 39.68/39.52 cnf(4559,plain,
% 39.68/39.52 (~P7(a1,f12(a1,f12(a1,f4(a1),f10(a1)),x45591),x45591)),
% 39.68/39.52 inference(rename_variables,[],[2281])).
% 39.68/39.52 cnf(4564,plain,
% 39.68/39.52 (~P7(a1,f12(a1,x45641,f10(a1)),x45641)),
% 39.68/39.52 inference(rename_variables,[],[577])).
% 39.68/39.52 cnf(4565,plain,
% 39.68/39.52 (P8(a1,x45651,f12(a1,x45651,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4570,plain,
% 39.68/39.52 (P7(a1,f4(a1),x45701)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4576,plain,
% 39.68/39.52 (P7(a1,x45761,f12(a1,x45762,x45761))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4577,plain,
% 39.68/39.52 (P7(a1,f4(a1),x45771)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4583,plain,
% 39.68/39.52 (P7(a59,f5(a59,f10(a59)),f5(a59,f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,474,475,4383,476,575,577,4144,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,263,265,386,338,403,555,432,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3539,3605,2369,3359,2052,2532,3766,3448,2691,2281,1896,2198,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848])).
% 39.68/39.52 cnf(4586,plain,
% 39.68/39.52 (~P8(a1,x45861,f12(a1,f36(f36(f9(a1),f11(a1,x45862,x45862)),x45863),x45861))),
% 39.68/39.52 inference(rename_variables,[],[2198])).
% 39.68/39.52 cnf(4589,plain,
% 39.68/39.52 (~P8(a59,x45891,x45891)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4592,plain,
% 39.68/39.52 (~P8(a59,x45921,x45921)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4594,plain,
% 39.68/39.52 (~P7(a59,f12(a59,x45941,f10(a59)),x45941)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,474,475,4383,476,575,577,4144,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,263,265,386,338,403,555,432,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,1883,2241,3239,3840,2883,2125,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,3874,3539,3605,2369,3359,2052,2532,3766,3448,2691,2281,1896,2198,4523,2205,1978,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186])).
% 39.68/39.52 cnf(4595,plain,
% 39.68/39.52 (~P8(a59,x45951,x45951)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4611,plain,
% 39.68/39.52 (P7(a1,x46111,f12(a1,x46112,x46111))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4632,plain,
% 39.68/39.52 (P7(a1,f11(a1,x46321,x46322),x46321)),
% 39.68/39.52 inference(rename_variables,[],[475])).
% 39.68/39.52 cnf(4637,plain,
% 39.68/39.52 (~P8(a61,f5(a61,f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61)))),f36(f36(f9(a61),f13(a61,f4(a61))),f13(a61,f4(a61))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,474,475,4383,4546,476,4200,575,577,4144,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,263,265,386,268,338,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3279,3276,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,3766,3448,2691,2281,1896,2198,4523,2205,1978,2303,1901,3456,2196,2752,2201,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241])).
% 39.68/39.52 cnf(4642,plain,
% 39.68/39.52 (P7(a1,x46421,f12(a1,x46422,x46421))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4646,plain,
% 39.68/39.52 (P8(a1,f11(a1,x46461,x46462),f12(a1,x46461,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[494])).
% 39.68/39.52 cnf(4656,plain,
% 39.68/39.52 (P7(f12(a1,a1,f4(a1)),x46561,x46561)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,577,4144,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,3766,3448,2691,2281,4559,1896,2198,4523,2205,1978,2303,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873])).
% 39.68/39.52 cnf(4673,plain,
% 39.68/39.52 (~P7(a59,f4(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357])).
% 39.68/39.52 cnf(4675,plain,
% 39.68/39.52 (P7(a59,f4(a59),f12(a59,f12(a59,f10(a59),f10(a59)),f12(a59,f10(a59),f10(a59))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356])).
% 39.68/39.52 cnf(4677,plain,
% 39.68/39.52 (P7(a61,f5(a61,f5(a61,f4(a61))),f5(a61,f5(a61,f5(a61,f4(a61)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014])).
% 39.68/39.52 cnf(4681,plain,
% 39.68/39.52 (P7(a61,f36(f36(f9(a61),f4(a61)),f42(x46811,a2)),f36(f36(f9(a61),f42(x46811,a2)),f42(x46811,a2)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906])).
% 39.68/39.52 cnf(4683,plain,
% 39.68/39.52 (~P7(a59,x46831,f11(a59,x46831,f10(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288])).
% 39.68/39.52 cnf(4687,plain,
% 39.68/39.52 (~E(f12(a59,f36(f36(f9(a59),f11(a59,f11(a59,x46871,x46872),f11(a59,x46871,x46872))),x46873),f12(a59,x46874,f10(a59))),x46874)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963])).
% 39.68/39.52 cnf(4689,plain,
% 39.68/39.52 (~E(f12(a1,f10(a1),x46891),f4(a1))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2024,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696])).
% 39.68/39.52 cnf(4690,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x46901,x46902),f10(a1)),x46901)),
% 39.68/39.52 inference(rename_variables,[],[2024])).
% 39.68/39.52 cnf(4692,plain,
% 39.68/39.52 (~E(x46921,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a1,x46921,f12(a1,f4(a1),f10(a1))),f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2024,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33])).
% 39.68/39.52 cnf(4693,plain,
% 39.68/39.52 (~E(x46931,f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,x46931,f10(a1))),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.52 inference(rename_variables,[],[2098])).
% 39.68/39.52 cnf(4694,plain,
% 39.68/39.52 (E(f12(a61,f11(a61,x46941,x46942),x46942),x46941)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2024,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970])).
% 39.68/39.52 cnf(4696,plain,
% 39.68/39.52 (P8(a1,x46961,f12(a1,f12(a1,x46962,f12(a1,f4(a1),x46961)),f10(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2024,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280])).
% 39.68/39.52 cnf(4698,plain,
% 39.68/39.52 (~E(f36(f36(f9(a61),f10(a61)),f10(a61)),f5(a61,f36(f36(f9(a61),x46981),x46981)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,577,4144,4564,477,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,2526,2024,2824,3470,3280,3495,3389,3820,2115,3375,2143,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764])).
% 39.68/39.52 cnf(4706,plain,
% 39.68/39.52 (E(f11(a1,f12(a1,x47061,x47062),x47061),x47062)),
% 39.68/39.52 inference(rename_variables,[],[478])).
% 39.68/39.52 cnf(4710,plain,
% 39.68/39.52 (P10(a1,x47101,x47101)),
% 39.68/39.52 inference(rename_variables,[],[2341])).
% 39.68/39.52 cnf(4712,plain,
% 39.68/39.52 (E(f12(a1,x47121,x47122),f12(a1,x47122,x47121))),
% 39.68/39.52 inference(rename_variables,[],[460])).
% 39.68/39.52 cnf(4715,plain,
% 39.68/39.52 (~P7(a59,f10(a59),f36(f36(f9(a59),f4(a59)),f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,2024,2824,3470,3280,3495,3389,3820,2115,3375,2143,1986,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102])).
% 39.68/39.52 cnf(4721,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x47211,x47212),f10(a1)),x47212)),
% 39.68/39.52 inference(rename_variables,[],[1953])).
% 39.68/39.52 cnf(4722,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x47221,x47222),f10(a1)),x47221)),
% 39.68/39.52 inference(rename_variables,[],[2024])).
% 39.68/39.52 cnf(4725,plain,
% 39.68/39.52 (~P8(a59,x47251,x47251)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4727,plain,
% 39.68/39.52 (~P8(a59,f8(a59,f4(a59),f12(a59,f10(a59),f10(a59))),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,2024,4690,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463])).
% 39.68/39.52 cnf(4728,plain,
% 39.68/39.52 (~P8(a59,x47281,x47281)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4733,plain,
% 39.68/39.52 (~E(f12(a1,f36(f36(f9(a1),f11(a1,x47331,x47331)),x47332),f12(a1,f12(a1,f36(f36(f9(a1),x47331),x47332),x47333),f10(a1))),x47333)),
% 39.68/39.52 inference(rename_variables,[],[2211])).
% 39.68/39.52 cnf(4738,plain,
% 39.68/39.52 (~P8(a59,x47381,x47381)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4742,plain,
% 39.68/39.52 (P10(a61,f36(f36(f9(a61),f13(a61,f4(a61))),x47421),f36(f36(f9(a61),f36(f36(f9(a61),f13(a61,f4(a61))),x47422)),x47423))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,2024,4690,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199])).
% 39.68/39.52 cnf(4744,plain,
% 39.68/39.52 (~E(f12(a1,x47441,f12(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f4(a1)),f10(a1))),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,2024,4690,4722,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152])).
% 39.68/39.52 cnf(4745,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x47451,x47452),f10(a1)),x47452)),
% 39.68/39.52 inference(rename_variables,[],[1953])).
% 39.68/39.52 cnf(4746,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x47461,x47462),f10(a1)),x47461)),
% 39.68/39.52 inference(rename_variables,[],[2024])).
% 39.68/39.52 cnf(4753,plain,
% 39.68/39.52 (P8(a1,x47531,f12(a1,f12(a1,x47532,x47531),f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[518])).
% 39.68/39.52 cnf(4755,plain,
% 39.68/39.52 (~P8(a59,f4(a59),f8(a59,f5(a59,f10(a59)),f10(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,2024,4690,4722,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459])).
% 39.68/39.52 cnf(4757,plain,
% 39.68/39.52 (~E(f12(a1,f4(a1),f10(a1)),f12(a1,x47571,f12(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f4(a1)),f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154])).
% 39.68/39.52 cnf(4758,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x47581,x47582),f10(a1)),x47582)),
% 39.68/39.52 inference(rename_variables,[],[1953])).
% 39.68/39.52 cnf(4759,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x47591,x47592),f10(a1)),x47591)),
% 39.68/39.52 inference(rename_variables,[],[2024])).
% 39.68/39.52 cnf(4761,plain,
% 39.68/39.52 (~P7(f66(x47611,a1),f36(f9(a1),f12(a1,f4(a1),f10(a1))),f36(f9(a1),f4(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167])).
% 39.68/39.52 cnf(4772,plain,
% 39.68/39.52 (P8(a1,x47721,f12(a1,x47721,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4775,plain,
% 39.68/39.52 (~P8(a1,x47751,f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[561])).
% 39.68/39.52 cnf(4791,plain,
% 39.68/39.52 (~P8(a61,f4(a61),f19(a2,f36(f36(f9(a59),f10(a59)),f4(a2))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,211,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2411,2433,2455,2487,2495,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925])).
% 39.68/39.52 cnf(4795,plain,
% 39.68/39.52 (P10(f62(a2),f36(f36(f9(f62(a2)),x47951),f5(f62(a2),f36(f36(f23(f62(a2)),f15(a2,f5(a2,x47952),f15(a2,f10(a2),f4(f62(a2))))),f17(a2,x47952,f12(a1,f4(f62(a2)),f10(a1)))))),f36(f36(f9(f62(a2)),x47951),f12(a1,f4(f62(a2)),f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,203,211,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392])).
% 39.68/39.52 cnf(4803,plain,
% 39.68/39.52 (P8(a61,f11(a61,f4(a61),f10(a61)),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211])).
% 39.68/39.52 cnf(4805,plain,
% 39.68/39.52 (P8(a59,f4(a59),f5(a59,f5(a59,f10(a59))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,498,4367,436,4446,4502,489,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090])).
% 39.68/39.52 cnf(4814,plain,
% 39.68/39.52 (E(f8(a1,x48141,f36(f36(f9(a1),x48142),x48143)),f8(a1,f8(a1,x48141,x48142),x48143))),
% 39.68/39.52 inference(rename_variables,[],[496])).
% 39.68/39.52 cnf(4819,plain,
% 39.68/39.52 (P7(a1,x48191,f12(a1,x48192,x48191))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4820,plain,
% 39.68/39.52 (P7(a1,f4(a1),x48201)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4828,plain,
% 39.68/39.52 (E(f11(a1,x48281,x48282),f12(a1,f11(a1,x48281,f12(a1,x48282,f4(a1))),f4(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106])).
% 39.68/39.52 cnf(4830,plain,
% 39.68/39.52 (P7(a1,f4(a1),x48301)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4843,plain,
% 39.68/39.52 (E(f11(a1,f4(a1),x48431),f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[448])).
% 39.68/39.52 cnf(4848,plain,
% 39.68/39.52 (E(f12(f62(a2),f36(f36(f9(f62(a2)),f15(a2,f5(a2,x48481),f15(a2,f10(a2),f4(f62(a2))))),f22(a2,x48482,x48481)),f15(a2,f36(f14(a2,x48482),x48481),f4(f62(a2)))),x48482)),
% 39.68/39.52 inference(rename_variables,[],[3229])).
% 39.68/39.52 cnf(4853,plain,
% 39.68/39.52 (E(x48531,f5(a59,f5(a59,x48531)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863])).
% 39.68/39.52 cnf(4870,plain,
% 39.68/39.52 (P7(a1,x48701,f12(a1,x48701,x48702))),
% 39.68/39.52 inference(rename_variables,[],[474])).
% 39.68/39.52 cnf(4872,plain,
% 39.68/39.52 (E(f12(a1,f36(f36(f9(a1),x48721),x48722),f12(a1,x48723,x48724)),f12(a1,f36(f36(f9(a1),f4(a1)),x48722),f12(a1,f12(a1,f36(f36(f9(a1),f11(a1,x48721,f4(a1))),x48722),x48723),x48724)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829])).
% 39.68/39.52 cnf(4883,plain,
% 39.68/39.52 (P7(a59,f12(a59,f36(f36(f9(a59),x48831),x48832),x48833),f12(a59,f36(f36(f9(a59),x48834),x48832),f12(a59,f36(f36(f9(a59),f11(a59,x48831,x48834)),x48832),x48833)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862])).
% 39.68/39.52 cnf(4885,plain,
% 39.68/39.52 (~P7(a59,f12(a59,f36(f36(f9(a59),f10(a59)),f4(a59)),f4(a59)),f12(a59,f36(f36(f9(a59),f12(a59,f10(a59),f10(a59))),f4(a59)),f12(a59,f36(f36(f9(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))),f10(a59)),f4(a59))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853])).
% 39.68/39.52 cnf(4887,plain,
% 39.68/39.52 (~P7(a59,f12(a59,f36(f36(f9(a59),f12(a59,f10(a59),f10(a59))),f10(a59)),f12(a59,f36(f36(f9(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))),f4(a59)),f4(a59))),f12(a59,f36(f36(f9(a59),f10(a59)),f10(a59)),f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851])).
% 39.68/39.52 cnf(4891,plain,
% 39.68/39.52 (~P7(a59,f4(a59),f12(a59,f36(f36(f9(a59),f10(a59)),f36(f36(f9(a59),f10(a59)),f5(a59,f10(a59)))),f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778])).
% 39.68/39.52 cnf(4895,plain,
% 39.68/39.52 (~E(f11(a1,f12(a1,f4(a1),f10(a1)),f4(a1)),f11(a1,f4(a1),f4(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351])).
% 39.68/39.52 cnf(4896,plain,
% 39.68/39.52 (P7(a1,x48961,f12(a1,x48961,x48962))),
% 39.68/39.52 inference(rename_variables,[],[474])).
% 39.68/39.52 cnf(4897,plain,
% 39.68/39.52 (P7(a1,f4(a1),x48971)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4898,plain,
% 39.68/39.52 (~E(f12(a1,x48981,f10(a1)),f4(a1))),
% 39.68/39.52 inference(rename_variables,[],[569])).
% 39.68/39.52 cnf(4901,plain,
% 39.68/39.52 (P8(a1,x49011,f12(a1,x49011,f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[480])).
% 39.68/39.52 cnf(4904,plain,
% 39.68/39.52 (P7(a1,x49041,f12(a1,x49042,x49041))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4906,plain,
% 39.68/39.52 (P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,x49061,x49062)),x49063),x49064),f12(a59,f10(a59),f12(a59,f36(f36(f9(a59),f11(a59,x49061,x49062)),x49063),x49064)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389])).
% 39.68/39.52 cnf(4907,plain,
% 39.68/39.52 (P7(a59,x49071,x49071)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(4909,plain,
% 39.68/39.52 (P10(a1,f36(f36(f9(a1),x49091),x49092),f36(f36(f9(a1),x49091),f36(f36(f9(a1),x49093),x49092)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537])).
% 39.68/39.52 cnf(4923,plain,
% 39.68/39.52 (P10(a2,x49231,f36(f36(f23(a2),f36(f14(a2,a69),f4(a2))),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592])).
% 39.68/39.52 cnf(4924,plain,
% 39.68/39.52 (P10(a2,x49241,f36(f36(f9(a2),x49242),f36(f36(f23(a2),x49242),f11(a1,a67,f12(a1,f4(a1),f10(a1))))))),
% 39.68/39.52 inference(rename_variables,[],[2052])).
% 39.68/39.52 cnf(4928,plain,
% 39.68/39.52 (P8(a61,f36(f36(f9(a61),f11(a61,f4(a61),f10(a61))),f10(a61)),f36(f36(f9(a61),f11(a61,f4(a61),f10(a61))),f4(a61)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,3487,3870,2573,3347,3337,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556])).
% 39.68/39.52 cnf(4935,plain,
% 39.68/39.52 (~P8(a59,x49351,x49351)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4938,plain,
% 39.68/39.52 (~P8(a59,x49381,x49381)),
% 39.68/39.52 inference(rename_variables,[],[1874])).
% 39.68/39.52 cnf(4941,plain,
% 39.68/39.52 (P7(a59,f4(a59),f36(f36(f9(a59),x49411),x49411))),
% 39.68/39.52 inference(rename_variables,[],[2754])).
% 39.68/39.52 cnf(4944,plain,
% 39.68/39.52 (P7(a59,f4(a59),f36(f36(f9(a59),x49441),x49441))),
% 39.68/39.52 inference(rename_variables,[],[2754])).
% 39.68/39.52 cnf(4950,plain,
% 39.68/39.52 (~P8(a61,f4(a61),f12(a61,f36(f36(f9(a61),f11(a1,f12(a1,x49501,f4(a61)),x49501)),f11(a1,f12(a1,x49501,f4(a61)),x49501)),f36(f36(f9(a61),f11(a1,f12(a1,x49501,f4(a61)),x49501)),f11(a1,f12(a1,x49501,f4(a61)),x49501))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802])).
% 39.68/39.52 cnf(4951,plain,
% 39.68/39.52 (E(f11(a1,f12(a1,x49511,x49512),x49511),x49512)),
% 39.68/39.52 inference(rename_variables,[],[478])).
% 39.68/39.52 cnf(4953,plain,
% 39.68/39.52 (P7(a61,f12(a61,f36(f36(f9(a61),f11(a1,f12(a1,x49531,f4(a61)),x49531)),f11(a1,f12(a1,x49531,f4(a61)),x49531)),f36(f36(f9(a61),f11(a1,f12(a1,x49531,f4(a61)),x49531)),f11(a1,f12(a1,x49531,f4(a61)),x49531))),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709])).
% 39.68/39.52 cnf(4954,plain,
% 39.68/39.52 (E(f11(a1,f12(a1,x49541,x49542),x49541),x49542)),
% 39.68/39.52 inference(rename_variables,[],[478])).
% 39.68/39.52 cnf(4957,plain,
% 39.68/39.52 (~E(f12(a59,x49571,f10(a59)),x49571)),
% 39.68/39.52 inference(rename_variables,[],[2074])).
% 39.68/39.52 cnf(4963,plain,
% 39.68/39.52 (~E(f12(a2,f36(f36(f9(a2),x49631),f36(f36(f23(a2),x49631),f11(a1,a67,f12(a1,f4(a1),f10(a1))))),f36(f36(f9(a2),f36(f14(a2,a69),f4(a2))),f36(f14(a2,a69),f4(a2)))),f12(a2,f36(f36(f9(a2),x49632),f36(f36(f23(a2),x49632),f11(a1,a67,f12(a1,f4(a1),f10(a1))))),f36(f36(f9(a2),f36(f14(a2,a69),f4(a2))),f4(a2))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,545,513,286,433,4125,4128,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632])).
% 39.68/39.52 cnf(4967,plain,
% 39.68/39.52 (P10(a1,x49671,x49671)),
% 39.68/39.52 inference(rename_variables,[],[2341])).
% 39.68/39.52 cnf(4969,plain,
% 39.68/39.52 (~E(x49691,f12(a59,f36(f36(f9(a59),f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59))),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a59,x49691,f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59))),f10(a1))),f12(a1,f4(a1),f10(a1)))),f4(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3279,3276,3270,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673])).
% 39.68/39.52 cnf(4970,plain,
% 39.68/39.52 (P7(a59,x49701,x49701)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(4971,plain,
% 39.68/39.52 (~E(f12(a59,f12(a59,f10(a59),x49711),x49711),f4(a59))),
% 39.68/39.52 inference(rename_variables,[],[578])).
% 39.68/39.52 cnf(4972,plain,
% 39.68/39.52 (~E(x49721,f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,x49721,f10(a1))),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.52 inference(rename_variables,[],[2098])).
% 39.68/39.52 cnf(4974,plain,
% 39.68/39.52 (~E(f36(f36(f23(f12(a1,a1,f4(a1))),f12(a59,f4(f12(a1,a1,f4(a1))),f10(a59))),x49741),f4(f12(a1,a1,f4(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888])).
% 39.68/39.52 cnf(4977,plain,
% 39.68/39.52 (P7(a1,x49771,f12(a1,x49772,x49771))),
% 39.68/39.52 inference(rename_variables,[],[473])).
% 39.68/39.52 cnf(4978,plain,
% 39.68/39.52 (P7(a1,f4(a1),x49781)),
% 39.68/39.52 inference(rename_variables,[],[441])).
% 39.68/39.52 cnf(4980,plain,
% 39.68/39.52 (~P8(a1,f12(a1,f4(a1),f10(a1)),f36(f36(f9(a1),f4(a1)),x49801))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,2024,4690,4722,4746,2824,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903])).
% 39.68/39.52 cnf(4996,plain,
% 39.68/39.52 (~P7(a1,f12(a1,f12(a1,f11(a1,x49961,x49962),x49962),f10(a1)),x49961)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,2024,4690,4722,4746,2824,2093,3470,3280,3720,3495,3389,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373])).
% 39.68/39.52 cnf(5010,plain,
% 39.68/39.52 (P7(a1,x50101,f12(a1,x50101,x50102))),
% 39.68/39.52 inference(rename_variables,[],[474])).
% 39.68/39.52 cnf(5013,plain,
% 39.68/39.52 (~P7(a59,f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59)),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,2024,4690,4722,4746,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916])).
% 39.68/39.52 cnf(5014,plain,
% 39.68/39.52 (~E(f12(a59,f12(a59,f10(a59),x50141),x50141),f4(a59))),
% 39.68/39.52 inference(rename_variables,[],[578])).
% 39.68/39.52 cnf(5019,plain,
% 39.68/39.52 (~P8(a1,x50191,x50191)),
% 39.68/39.52 inference(rename_variables,[],[558])).
% 39.68/39.52 cnf(5022,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x50221,x50222),f10(a1)),x50222)),
% 39.68/39.52 inference(rename_variables,[],[1953])).
% 39.68/39.52 cnf(5023,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x50231,x50232),f10(a1)),x50231)),
% 39.68/39.52 inference(rename_variables,[],[2024])).
% 39.68/39.52 cnf(5025,plain,
% 39.68/39.52 (~E(f12(a1,f4(a1),f10(a1)),f12(a1,f12(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f4(a1)),f10(a1)),x50251))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155])).
% 39.68/39.52 cnf(5026,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x50261,x50262),f10(a1)),x50262)),
% 39.68/39.52 inference(rename_variables,[],[1953])).
% 39.68/39.52 cnf(5027,plain,
% 39.68/39.52 (~E(f12(a1,f12(a1,x50271,x50272),f10(a1)),x50271)),
% 39.68/39.52 inference(rename_variables,[],[2024])).
% 39.68/39.52 cnf(5029,plain,
% 39.68/39.52 (E(f36(f36(f9(a2),x50291),f36(f36(f23(a2),x50291),f11(a1,a67,f12(a1,f4(a1),f10(a1))))),f4(a2))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,442,563,481,4201,4326,569,4341,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,1984,2405,2411,2433,2455,2487,2495,2497,2501,2505,3822,3850,3848,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850])).
% 39.68/39.52 cnf(5044,plain,
% 39.68/39.52 (~E(f36(f36(f9(f62(a59)),f12(a1,f4(f62(a59)),f12(a1,f4(a1),f10(a1)))),f12(a1,f4(f62(a59)),f12(a1,f4(a1),f10(a1)))),f4(f62(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758])).
% 39.68/39.52 cnf(5050,plain,
% 39.68/39.52 (~P7(a1,f12(a1,f36(f36(f9(a1),x50501),x50502),f10(a1)),f12(a1,f36(f36(f9(a1),f4(a1)),x50502),f36(f36(f9(a1),f11(a1,x50501,f4(a1))),x50502)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849])).
% 39.68/39.52 cnf(5051,plain,
% 39.68/39.52 (~P7(a1,f12(a1,x50511,f10(a1)),x50511)),
% 39.68/39.52 inference(rename_variables,[],[577])).
% 39.68/39.52 cnf(5053,plain,
% 39.68/39.52 (~P7(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f58(f36(f9(a1),f4(a1)),f36(f9(a1),f12(a1,f4(a1),f10(a1))),x50531,a1)),f36(f36(f9(a1),f4(a1)),f58(f36(f9(a1),f4(a1)),f36(f9(a1),f12(a1,f4(a1),f10(a1))),x50531,a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866])).
% 39.68/39.52 cnf(5055,plain,
% 39.68/39.52 (~P7(a1,f6(a2,a63),f12(a1,a67,f10(a1)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937])).
% 39.68/39.52 cnf(5072,plain,
% 39.68/39.52 (P7(a59,x50721,x50721)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(5074,plain,
% 39.68/39.52 (P8(a59,f36(f36(f23(a59),f4(a59)),f12(a1,x50741,f10(a1))),f36(f36(f23(a59),f10(a59)),f12(a1,x50741,f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666])).
% 39.68/39.52 cnf(5075,plain,
% 39.68/39.52 (P7(a59,x50751,x50751)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(5077,plain,
% 39.68/39.52 (~E(f12(a59,f12(a59,f10(a59),f10(a59)),f12(a59,f10(a59),f10(a59))),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266])).
% 39.68/39.52 cnf(5079,plain,
% 39.68/39.52 (~P8(a59,f10(a59),f5(a59,f10(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904])).
% 39.68/39.52 cnf(5081,plain,
% 39.68/39.52 (~E(f6(a2,a63),f4(a1))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799])).
% 39.68/39.52 cnf(5085,plain,
% 39.68/39.52 (P8(a1,x50851,f12(a1,x50852,f12(a1,f12(a1,x50853,x50851),f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161])).
% 39.68/39.52 cnf(5087,plain,
% 39.68/39.52 (P7(a1,x50871,f12(a1,f12(a1,x50871,x50872),x50873))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159])).
% 39.68/39.52 cnf(5096,plain,
% 39.68/39.52 (E(f12(a1,x50961,x50962),f12(a1,x50961,f12(a1,f36(f36(f9(a1),f11(a1,f4(a1),f4(a1))),x50963),x50962)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,576,460,577,4144,4564,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964])).
% 39.68/39.52 cnf(5099,plain,
% 39.68/39.52 (~P7(a1,f12(a1,x50991,f10(a1)),x50991)),
% 39.68/39.52 inference(rename_variables,[],[577])).
% 39.68/39.52 cnf(5101,plain,
% 39.68/39.52 (~P8(a1,f12(a1,x51011,x51012),x51012)),
% 39.68/39.52 inference(rename_variables,[],[575])).
% 39.68/39.52 cnf(5102,plain,
% 39.68/39.52 (~P8(a59,f4(a59),f12(a59,f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994])).
% 39.68/39.52 cnf(5109,plain,
% 39.68/39.52 (P8(a59,x51091,f12(a59,x51091,f10(a59)))),
% 39.68/39.52 inference(rename_variables,[],[1898])).
% 39.68/39.52 cnf(5111,plain,
% 39.68/39.52 (P8(a61,f4(a61),f19(f12(a1,f4(a1),a61),f12(a1,x51111,f12(a1,f4(f12(a1,f4(a1),a61)),f10(a1)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816])).
% 39.68/39.52 cnf(5113,plain,
% 39.68/39.52 (P8(a61,f10(a61),f36(f36(f23(a61),f12(a61,f10(a61),f10(a61))),f12(a1,x51131,f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607])).
% 39.68/39.52 cnf(5117,plain,
% 39.68/39.52 (P8(a61,f12(a61,f11(a61,f4(a61),f10(a61)),f11(a61,f4(a61),f10(a61))),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225])).
% 39.68/39.52 cnf(5124,plain,
% 39.68/39.52 (P8(a1,x51241,f12(a1,f12(a1,x51242,x51241),f10(a1)))),
% 39.68/39.52 inference(rename_variables,[],[518])).
% 39.68/39.52 cnf(5126,plain,
% 39.68/39.52 (~P8(a61,f5(a61,f5(a61,f10(a61))),f4(a61))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,3485,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138])).
% 39.68/39.52 cnf(5131,plain,
% 39.68/39.52 (~P8(a61,f5(a61,f5(a61,x51311)),x51311)),
% 39.68/39.52 inference(rename_variables,[],[2089])).
% 39.68/39.52 cnf(5132,plain,
% 39.68/39.52 (~P8(a61,x51321,f5(a61,f5(a61,x51321)))),
% 39.68/39.52 inference(rename_variables,[],[2091])).
% 39.68/39.52 cnf(5153,plain,
% 39.68/39.52 (E(x51531,f12(a1,f36(f36(f9(a1),f11(a1,x51532,x51532)),x51533),x51531))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3339,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881])).
% 39.68/39.52 cnf(5154,plain,
% 39.68/39.52 (~P8(a1,f12(a1,x51541,x51542),x51542)),
% 39.68/39.52 inference(rename_variables,[],[575])).
% 39.68/39.52 cnf(5156,plain,
% 39.68/39.52 (P8(a59,f4(a59),f12(a59,f12(a59,f10(a59),f10(a59)),f10(a59)))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,494,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,3487,3339,3870,2573,3347,3337,3824,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390])).
% 39.68/39.52 cnf(5163,plain,
% 39.68/39.52 (~E(x51631,f12(a1,x51632,f12(a1,x51631,f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15])).
% 39.68/39.52 cnf(5167,plain,
% 39.68/39.52 (~P7(a1,f6(a2,a63),a67)),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401])).
% 39.68/39.52 cnf(5175,plain,
% 39.68/39.52 (P7(a1,x51751,f12(a1,x51752,f11(a1,f12(a1,x51751,f10(a1)),f10(a1))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595])).
% 39.68/39.52 cnf(5177,plain,
% 39.68/39.52 (P8(a61,f4(a61),f36(f36(f9(a61),f36(f36(f9(a61),f10(a61)),f10(a61))),f36(f36(f9(a61),f10(a61)),f10(a61))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,434,4110,4131,4400,4443,4505,558,4204,4306,4332,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315])).
% 39.68/39.52 cnf(5186,plain,
% 39.68/39.52 (P7(a59,x51861,x51861)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(5188,plain,
% 39.68/39.52 (P8(a1,x51881,f12(a1,f36(f36(f9(a1),f4(a1)),x51882),f12(a1,f36(f36(f9(a1),f11(a1,f4(a1),f4(a1))),x51882),f12(a1,x51881,f10(a1)))))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597])).
% 39.68/39.52 cnf(5191,plain,
% 39.68/39.52 (P7(a59,x51911,x51911)),
% 39.68/39.52 inference(rename_variables,[],[433])).
% 39.68/39.52 cnf(5195,plain,
% 39.68/39.52 (~P7(a59,f5(a59,f5(a59,f10(a59))),f4(a59))),
% 39.68/39.52 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072])).
% 39.68/39.52 cnf(5199,plain,
% 39.68/39.52 (~P7(a61,f5(a61,f5(a61,f10(a61))),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,5131,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136])).
% 39.68/39.53 cnf(5206,plain,
% 39.68/39.53 (P7(a1,x52061,f12(a1,x52062,x52061))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(5208,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f11(a59,x52081,f10(a59)),f10(a59)),x52081)),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,5131,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181])).
% 39.68/39.53 cnf(5211,plain,
% 39.68/39.53 (P7(a59,x52111,x52111)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5214,plain,
% 39.68/39.53 (P7(a59,x52141,x52141)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5218,plain,
% 39.68/39.53 (P7(a61,x52181,f5(a61,f5(a61,x52181)))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,5131,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088])).
% 39.68/39.53 cnf(5220,plain,
% 39.68/39.53 (~E(f12(a1,f12(a1,f11(a1,x52201,f4(a1)),f4(a1)),f10(a1)),x52201)),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2109,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,5131,2091,3485,2719,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27])).
% 39.68/39.53 cnf(5233,plain,
% 39.68/39.53 (~E(a7,f4(a2))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,5131,2091,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2])).
% 39.68/39.53 cnf(5236,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x52361,x52362),x52362)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(5238,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x52381,f10(a1)),x52381)),
% 39.68/39.53 inference(rename_variables,[],[577])).
% 39.68/39.53 cnf(5239,plain,
% 39.68/39.53 (~P39(a1)),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,2351,2089,5131,2091,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700])).
% 39.68/39.53 cnf(5246,plain,
% 39.68/39.53 (P7(a1,f4(a1),x52461)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(5250,plain,
% 39.68/39.53 (~E(f12(a1,x52501,f10(a1)),f4(a1))),
% 39.68/39.53 inference(rename_variables,[],[569])).
% 39.68/39.53 cnf(5251,plain,
% 39.68/39.53 (~E(f12(a1,f12(a1,x52511,x52512),f10(a1)),x52512)),
% 39.68/39.53 inference(rename_variables,[],[1953])).
% 39.68/39.53 cnf(5260,plain,
% 39.68/39.53 (P8(a61,x52601,f12(a61,x52601,f10(a61)))),
% 39.68/39.53 inference(rename_variables,[],[2752])).
% 39.68/39.53 cnf(5275,plain,
% 39.68/39.53 (~E(f12(a1,x52751,f10(a1)),f4(a1))),
% 39.68/39.53 inference(rename_variables,[],[569])).
% 39.68/39.53 cnf(5276,plain,
% 39.68/39.53 (~E(f12(a1,f12(a1,x52761,x52762),f10(a1)),x52762)),
% 39.68/39.53 inference(rename_variables,[],[1953])).
% 39.68/39.53 cnf(5280,plain,
% 39.68/39.53 (P8(a61,f19(a61,f12(a61,x52801,x52801)),f12(a61,f12(a61,f19(a61,x52801),f10(a61)),f12(a61,f19(a61,x52801),f10(a61))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738])).
% 39.68/39.53 cnf(5282,plain,
% 39.68/39.53 (P8(a61,f19(a61,f36(f36(f9(a61),x52821),x52821)),f36(f36(f9(a61),f12(a61,f19(a61,x52821),f10(a61))),f12(a61,f19(a61,x52821),f10(a61))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725])).
% 39.68/39.53 cnf(5284,plain,
% 39.68/39.53 (~E(f36(f36(f23(a1),f12(a1,f4(a1),f10(a1))),f12(a1,x52841,f10(a1))),f36(f36(f23(a1),f4(a1)),f12(a1,x52841,f10(a1))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575])).
% 39.68/39.53 cnf(5287,plain,
% 39.68/39.53 (P7(a1,f4(a1),x52871)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(5290,plain,
% 39.68/39.53 (P7(a59,x52901,x52901)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5291,plain,
% 39.68/39.53 (E(f12(a59,f4(a59),x52911),x52911)),
% 39.68/39.53 inference(rename_variables,[],[446])).
% 39.68/39.53 cnf(5294,plain,
% 39.68/39.53 (P7(a59,x52941,x52941)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5299,plain,
% 39.68/39.53 (E(f5(a61,f5(a61,x52991)),x52991)),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890])).
% 39.68/39.53 cnf(5304,plain,
% 39.68/39.53 (~P8(a61,f36(f36(f9(a61),f10(a61)),f36(f36(f9(a61),f10(a61)),f10(a61))),f36(f36(f9(a61),f13(a61,f5(a61,f5(a61,f4(a61))))),f36(f36(f9(a61),f10(a61)),f10(a61))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631])).
% 39.68/39.53 cnf(5308,plain,
% 39.68/39.53 (~P8(a61,f5(a61,f13(a61,f5(a61,f5(a61,f4(a61))))),f5(a61,f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125])).
% 39.68/39.53 cnf(5310,plain,
% 39.68/39.53 (~P8(a61,f13(a61,f4(a61)),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,1994,2024,4690,4722,4746,4759,5023,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067])).
% 39.68/39.53 cnf(5320,plain,
% 39.68/39.53 (P10(f62(a59),f36(f36(f23(f62(a59)),f15(a59,f5(a59,x53201),f15(a59,f10(a59),f4(f62(a59))))),f17(a59,x53201,f12(a1,f4(f62(a59)),f12(a1,f4(a1),f10(a1))))),f12(a1,f4(f62(a59)),f12(a1,f4(a1),f10(a1))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855])).
% 39.68/39.53 cnf(5323,plain,
% 39.68/39.53 (P8(a59,x53231,f12(a59,x53231,f10(a59)))),
% 39.68/39.53 inference(rename_variables,[],[1898])).
% 39.68/39.53 cnf(5327,plain,
% 39.68/39.53 (P8(a61,f36(f36(f9(a61),f13(a61,f10(a61))),f4(a61)),f36(f36(f9(a61),f13(a61,f10(a61))),f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,561,4524,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806])).
% 39.68/39.53 cnf(5329,plain,
% 39.68/39.53 (~P8(a1,f36(f36(f23(a1),x53291),x53292),f36(f36(f23(a1),f4(a1)),x53292))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693])).
% 39.68/39.53 cnf(5332,plain,
% 39.68/39.53 (P8(a61,f36(f36(f9(a61),f10(a61)),f36(f36(f9(a61),f4(a61)),f42(x53321,a2))),f36(f36(f9(a61),f10(a61)),f36(f36(f9(a61),f42(x53321,a2)),f42(x53321,a2))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567])).
% 39.68/39.53 cnf(5336,plain,
% 39.68/39.53 (P8(a61,f36(f36(f9(a61),f10(a61)),f11(a61,f4(a61),f10(a61))),f36(f36(f9(a61),f4(a61)),f11(a61,f4(a61),f10(a61))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567,1565,1555])).
% 39.68/39.53 cnf(5340,plain,
% 39.68/39.53 (P8(a59,x53401,f12(a59,x53401,f10(a59)))),
% 39.68/39.53 inference(rename_variables,[],[1898])).
% 39.68/39.53 cnf(5341,plain,
% 39.68/39.53 (P7(a59,x53411,x53411)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5343,plain,
% 39.68/39.53 (~E(x53431,f12(a59,f36(f36(f9(a59),f5(a59,f10(a59))),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a59,x53431,f5(a59,f10(a59))),f10(a1))),f12(a1,f4(a1),f10(a1)))),f4(a59)))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,5294,5341,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,477,478,4706,4951,4954,442,444,563,481,4201,4326,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,4972,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2123,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,5323,1904,2752,5260,2351,2089,5131,2091,5132,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567,1565,1555,1833,1635])).
% 39.68/39.53 cnf(5345,plain,
% 39.68/39.53 (P7(a59,x53451,x53451)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5356,plain,
% 39.68/39.53 (~P7(a1,f12(a1,f36(f36(f9(a1),x53561),x53561),f10(a1)),x53561)),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,275,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,5294,5341,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,5238,477,478,4706,4951,4954,442,444,563,481,4201,4326,469,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,4972,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2123,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,5323,1904,2752,5260,2351,2089,5131,2091,5132,3868,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567,1565,1555,1833,1635,1254,1328,854,1399,1134])).
% 39.68/39.53 cnf(5365,plain,
% 39.68/39.53 (~P7(a59,f36(f36(f9(a59),f10(a59)),f4(a59)),f36(f36(f9(a59),f10(a59)),f5(a59,f10(a59))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,275,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,5294,5341,5345,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,5238,477,478,4706,4951,4954,442,444,563,481,4201,4326,469,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,4972,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2123,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,2196,1898,5109,5323,5340,1904,2752,5260,2351,2089,5131,2091,5132,3868,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567,1565,1555,1833,1635,1254,1328,854,1399,1134,883,1641,1687])).
% 39.68/39.53 cnf(5375,plain,
% 39.68/39.53 (~P7(a59,f4(a59),f12(a59,f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59)))))),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,4938,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,344,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,275,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,5294,5341,5345,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,5238,477,478,4706,4951,4954,442,444,563,481,4201,4326,469,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,4972,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2123,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,3760,2196,1898,5109,5323,5340,1904,2752,5260,2351,2089,5131,2091,5132,3868,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567,1565,1555,1833,1635,1254,1328,854,1399,1134,883,1641,1687,1564,1563,1374,1688,1140])).
% 39.68/39.53 cnf(5376,plain,
% 39.68/39.53 (~P8(a59,x53761,x53761)),
% 39.68/39.53 inference(rename_variables,[],[1874])).
% 39.68/39.53 cnf(5383,plain,
% 39.68/39.53 (~P8(a59,f11(a59,f12(a59,x53831,f10(a59)),f10(a59)),x53831)),
% 39.68/39.53 inference(scs_inference,[],[541,1873,1874,4081,4134,4497,4589,4592,4595,4725,4728,4738,4935,4938,5376,203,211,214,215,218,222,223,227,231,237,240,242,243,244,250,257,271,279,282,291,303,308,311,314,318,344,347,350,353,368,371,373,374,383,388,395,405,409,412,415,573,548,533,466,456,448,4843,430,4078,4273,4276,4478,497,4338,498,4367,499,500,503,455,436,4446,4502,489,496,4814,545,513,286,570,275,433,4125,4128,4907,4970,5072,5075,5186,5191,5211,5214,5290,5294,5341,5345,434,4110,4131,4400,4443,4505,558,4204,4306,4332,5019,226,230,248,249,289,300,355,360,367,390,400,441,4122,4143,4190,4329,4431,4435,4440,4535,4570,4577,4820,4830,4897,4978,5246,5287,561,4524,4775,556,421,473,4120,4145,4184,4303,4434,4438,4469,4576,4611,4642,4819,4904,4977,5206,474,4439,4870,4896,5010,475,4383,4546,4632,476,4200,575,4491,5101,5154,5236,576,460,4712,577,4144,4564,5051,5099,5238,477,478,4706,4951,4954,442,444,563,481,4201,4326,469,569,4341,4898,5250,5275,536,274,202,219,345,359,392,398,401,406,480,4086,4089,4197,4235,4253,4403,4494,4565,4772,4901,446,5291,518,4466,4753,5124,494,4646,550,256,207,267,309,340,341,348,393,578,4207,4971,5014,284,306,407,239,269,315,316,208,287,263,265,358,361,386,268,338,273,403,555,432,354,380,385,397,310,365,206,379,264,337,266,451,391,238,487,553,305,552,290,205,452,3281,3282,3279,3276,3271,3270,3269,3266,3256,3474,3246,1883,2241,3239,3840,2883,2044,2125,1969,2258,1998,2579,3175,3617,3274,2159,3717,3609,3229,4848,2084,2072,2786,2937,2939,1944,4210,4230,4412,2221,3401,4344,3399,3363,2098,4311,4693,4972,3501,3329,1939,4116,2022,4117,2211,4733,3914,1878,2029,4001,4006,4008,4010,4012,4014,4016,4018,4020,4022,4024,4026,4028,4030,4032,4034,4036,4038,4040,4042,4044,4046,4048,4050,4052,4054,4056,4058,4060,4294,2074,4957,2526,1953,4721,4745,4758,5022,5026,5251,5276,1994,2024,4690,4722,4746,4759,5023,5027,2109,2185,2824,2093,3470,2269,3280,3720,3495,3389,3343,3820,2123,2115,3375,2227,2143,1986,3860,3587,2168,2141,2255,3327,3854,2002,4003,4113,2062,2341,4710,4967,2844,2892,3874,3452,3545,3539,3605,2860,2369,2371,2705,3359,2052,4074,4924,2532,4176,3551,2177,3766,3448,2691,3458,2281,4559,1896,2198,4523,4586,2205,1978,1913,2303,2294,1901,3456,1981,3760,2196,1898,5109,5323,5340,1904,2752,5260,2351,2089,5131,2091,5132,3868,3485,2719,3275,2201,2203,3695,1984,2405,2411,2433,2455,2481,2487,2495,2497,2501,2505,3822,3850,3848,3543,3541,3613,3856,3892,3872,2754,4107,4227,4941,4944,3487,2901,3339,3870,2573,3347,3337,3824,2153,2536,2540,2733,2834,3115,3313,2134,2774,2788,2086,3237,1871,192,190,187,185,184,183,182,181,180,179,169,164,163,160,158,156,154,152,149,148,143,138,137,135,134,133,125,119,1344,1066,1065,1038,1036,1497,1142,934,1055,1568,1684,1540,1643,1642,1793,1695,1692,1690,1558,1452,1246,1216,887,1765,1669,1570,1569,1056,1075,1074,1019,1732,926,648,1655,752,731,727,1656,849,789,1283,908,1110,832,1149,1172,837,810,1476,874,1101,918,826,1338,1370,1352,1299,1012,1465,1285,1284,1198,1021,979,978,1121,1013,738,1750,1460,1269,1523,1474,1385,736,685,1785,1628,1627,1491,1490,1270,836,672,1763,675,1301,1398,861,800,750,681,671,656,653,1231,975,751,1708,1680,1787,855,797,885,884,805,897,1326,1857,1856,1850,1848,1830,1819,1818,1445,1667,1367,1761,1870,1863,1861,1860,1854,1828,1817,1816,1780,1578,1369,704,778,1614,1220,1307,1789,1591,1561,1560,1449,1420,1415,1414,1410,1234,846,845,1716,1786,1835,1843,1150,889,1731,1728,1727,1726,828,787,929,1292,1273,1190,1163,962,965,1477,915,1400,1318,735,655,842,1800,1799,1517,945,1543,1309,1831,834,1730,693,807,792,1584,1380,1174,995,853,1361,1360,1359,1000,1521,829,1210,1123,1092,1609,1219,1037,654,1339,1706,1847,1852,1682,1544,1698,1434,1422,1418,1417,848,698,1294,1187,1186,1379,986,1298,840,1016,1388,1267,847,1287,1183,933,998,997,1044,1402,1431,1375,1241,714,1519,1279,1605,1404,1545,873,746,1406,1405,868,1599,1286,1217,1357,1356,1014,1026,906,1288,1275,963,696,33,970,1280,764,1330,892,174,157,153,130,113,3,1102,973,1758,1464,1463,1350,967,723,1466,1462,1199,1152,1022,928,1751,1459,1154,1167,1002,1001,737,683,1371,1364,952,1846,920,665,652,1792,1534,925,1393,1392,1391,1319,1212,1211,1090,1041,813,677,1665,1820,1608,1218,1107,1106,838,767,749,1593,1230,981,976,865,864,863,827,817,1696,1636,1324,1239,812,1858,1829,1717,1668,1368,1746,1862,1853,1851,1827,1778,1533,1351,1394,1541,1389,1537,1557,1685,1650,1649,1648,1647,1592,1559,1556,1551,1550,1506,1505,1451,1450,1664,1663,1802,1709,1214,1811,1810,1632,1151,1673,888,1729,903,788,694,811,966,1274,1839,1373,919,1173,1479,1478,972,971,916,825,1426,1153,1155,850,684,950,647,1603,1062,1027,758,798,1518,1849,1866,937,703,1387,1386,1456,1430,1425,1424,1834,1666,1266,904,799,1221,1161,1159,1157,1098,806,964,118,114,994,990,1363,1347,816,1607,1039,1225,1590,1707,1859,1138,939,875,1546,1366,993,716,1436,839,1094,1054,1224,881,1390,1453,1365,15,1522,1401,1060,1547,1164,1595,1315,1278,1601,1403,1433,1597,1432,1099,1072,1028,1136,1583,1209,1528,1181,1358,1355,1222,1088,27,13,10,9,141,131,129,116,2,16,115,117,700,893,1733,1832,1323,1321,1265,1264,1262,1694,1691,1686,1549,1020,1413,1738,1725,1575,1809,1808,1047,890,1103,1631,1483,1125,1067,882,670,1025,1587,1855,1640,1146,1806,1693,1567,1565,1555,1833,1635,1254,1328,854,1399,1134,883,1641,1687,1564,1563,1374,1688,1140,1139,931,1381])).
% 39.68/39.53 cnf(5543,plain,
% 39.68/39.53 (P7(a59,x55431,x55431)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5544,plain,
% 39.68/39.53 (~P7(a59,f12(a59,x55441,f10(a59)),x55441)),
% 39.68/39.53 inference(rename_variables,[],[4594])).
% 39.68/39.53 cnf(5547,plain,
% 39.68/39.53 (P7(a61,x55471,x55471)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(5551,plain,
% 39.68/39.53 (P8(a61,f13(a61,f11(a61,f4(a61),f10(a61))),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[549,433,434,401,406,452,4035,4803,4594,2832,5111,5233,1582,1440,712,1034])).
% 39.68/39.53 cnf(5557,plain,
% 39.68/39.53 (~P8(a61,f10(a61),f13(a61,f13(a61,f10(a61))))),
% 39.68/39.53 inference(scs_inference,[],[549,433,434,401,406,361,403,452,4035,4803,4761,5117,4594,2832,4112,5111,5233,1582,1440,712,1034,1033,1095,1065])).
% 39.68/39.53 cnf(5562,plain,
% 39.68/39.53 (P7(a61,f5(a61,f36(f36(f9(a61),x55621),x55621)),f36(f36(f9(a61),x55622),x55622))),
% 39.68/39.53 inference(rename_variables,[],[512])).
% 39.68/39.53 cnf(5565,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x55651)),x55651)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(5568,plain,
% 39.68/39.53 (P7(a61,x55681,x55681)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(5569,plain,
% 39.68/39.53 (~E(f12(a1,x55691,f10(a1)),x55691)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(5571,plain,
% 39.68/39.53 (~P8(a61,f4(a61),f11(a61,f4(a61),f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[549,412,428,512,433,563,434,5547,367,386,401,406,361,403,306,452,2772,4035,4803,4761,4698,5117,4296,4594,4928,2832,4112,5111,4805,5233,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690])).
% 39.68/39.53 cnf(5578,plain,
% 39.68/39.53 (P7(a61,x55781,x55781)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(5580,plain,
% 39.68/39.53 (~P10(f62(a59),f21(a59,x55801,f36(f36(f23(f62(a59)),f15(a59,f5(a59,x55802),f15(a59,f10(a59),f4(f62(a59))))),f12(a1,f17(a59,x55802,f12(a1,f12(a1,f4(f62(a59)),f10(a1)),x55803)),f10(a1)))),f12(a1,f12(a1,f4(f62(a59)),f10(a1)),x55803))),
% 39.68/39.53 inference(scs_inference,[],[549,412,428,537,512,507,433,563,434,5547,5568,367,207,386,401,406,265,361,403,306,452,2772,4035,4803,4761,4698,5117,4354,4296,4594,4928,2832,4112,5177,5111,4805,5233,2788,2143,3856,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344])).
% 39.68/39.53 cnf(5582,plain,
% 39.68/39.53 (~P7(a61,f13(a61,f13(a61,f10(a61))),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[549,412,428,537,512,507,433,563,434,5547,5568,367,207,386,401,406,265,361,403,306,452,2772,4035,4803,4761,4698,5117,4354,4296,4594,4928,2832,4112,4192,5177,5111,4805,5233,2788,2143,3856,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066])).
% 39.68/39.53 cnf(5594,plain,
% 39.68/39.53 (P7(a61,f4(a61),f13(a61,f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[549,412,428,537,512,507,433,575,563,5569,434,5547,5568,367,207,386,401,406,265,361,402,403,306,552,305,452,2772,4035,4803,3391,4761,4698,5079,5117,4354,4296,4594,4928,2832,4065,4112,4192,5177,4727,5111,4805,5113,5233,2788,2143,3487,3856,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452])).
% 39.68/39.53 cnf(5598,plain,
% 39.68/39.53 (~P7(a59,x55981,f11(a59,x55981,f10(a59)))),
% 39.68/39.53 inference(rename_variables,[],[4683])).
% 39.68/39.53 cnf(5608,plain,
% 39.68/39.53 (P10(a59,f36(f36(f9(a59),f12(a59,f5(a59,x56081),x56081)),x56082),f36(f36(f9(a59),f12(a59,f5(a59,x56081),x56081)),x56083))),
% 39.68/39.53 inference(rename_variables,[],[4296])).
% 39.68/39.53 cnf(5612,plain,
% 39.68/39.53 (P7(a1,x56121,f12(a1,x56122,x56121))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(5613,plain,
% 39.68/39.53 (P7(a1,x56131,f36(f36(f9(a1),x56131),f36(f36(f9(a1),x56131),x56131)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5616,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x56161)),x56161)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(5618,plain,
% 39.68/39.53 (P7(a1,x56181,f36(f36(f9(a1),f12(a1,x56182,f10(a1))),x56181))),
% 39.68/39.53 inference(scs_inference,[],[549,525,412,428,5565,537,512,507,433,473,575,563,5569,434,5547,5568,367,207,240,386,401,406,265,361,402,266,403,306,552,305,452,2772,4035,4803,3391,4761,4698,5299,5079,5117,4354,4296,4465,4594,4683,4928,2832,4065,4112,4192,5177,4727,4216,5111,4805,5113,4556,5233,2788,2143,3487,3856,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908])).
% 39.68/39.53 cnf(5653,plain,
% 39.68/39.53 (P7(a1,f11(a1,x56531,x56532),x56531)),
% 39.68/39.53 inference(rename_variables,[],[475])).
% 39.68/39.53 cnf(5656,plain,
% 39.68/39.53 (P8(a1,f12(a1,f36(f36(f9(a1),f11(a1,f36(f36(f9(a1),f4(a1)),f36(f36(f9(a1),f4(a1)),f4(a1))),f4(a1))),x56561),x56562),f12(a1,f36(f36(f9(a1),f11(a1,f4(a1),f4(a1))),x56561),f12(a1,f12(a1,f36(f36(f9(a1),f36(f36(f9(a1),f4(a1)),f36(f36(f9(a1),f4(a1)),f4(a1)))),x56561),x56562),f10(a1))))),
% 39.68/39.53 inference(scs_inference,[],[396,410,549,525,257,308,374,388,412,428,5565,5616,537,520,512,507,5613,433,370,473,475,575,563,5569,434,5547,5568,367,400,494,407,207,393,240,386,401,406,265,361,402,365,266,403,306,552,305,452,2772,4035,4803,4692,3391,4761,5153,2164,3466,4698,4272,4853,5299,5079,5117,4354,4296,5608,4083,4681,5188,4465,4594,4683,4928,5383,5050,2832,4065,4112,4192,5177,4727,4216,5111,4805,5113,4556,5233,2044,2788,2143,3487,2536,1904,3856,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850])).
% 39.68/39.53 cnf(5657,plain,
% 39.68/39.53 (P7(a1,x56571,f36(f36(f9(a1),x56571),f36(f36(f9(a1),x56571),x56571)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5658,plain,
% 39.68/39.53 (P8(a1,x56581,f12(a1,f36(f36(f9(a1),f4(a1)),x56582),f12(a1,f36(f36(f9(a1),f11(a1,f4(a1),f4(a1))),x56582),f12(a1,x56581,f10(a1)))))),
% 39.68/39.53 inference(rename_variables,[],[5188])).
% 39.68/39.53 cnf(5660,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,f11(a59,x56601,x56601),x56602)),x56603),f12(a59,f36(f36(f9(a59),x56602),x56603),x56604)),x56604)),
% 39.68/39.53 inference(scs_inference,[],[396,410,549,525,257,308,374,388,412,428,5565,5616,537,520,512,507,5613,433,370,473,475,575,563,5569,434,5547,5568,367,400,494,407,207,393,240,386,401,406,265,361,402,315,365,266,403,306,552,305,452,2772,4035,4803,4692,3391,4761,5153,2164,3466,4698,4272,4853,5299,5079,5117,4354,4296,5608,4083,4681,4356,5188,4465,4594,4683,4928,5383,5050,2832,4065,4112,4192,5177,4727,4216,5111,4805,5113,4556,5233,2044,2788,2143,3487,2536,1904,3856,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863])).
% 39.68/39.53 cnf(5661,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,x56611,x56611)),x56612),x56613),x56613)),
% 39.68/39.53 inference(rename_variables,[],[4356])).
% 39.68/39.53 cnf(5664,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,x56641,x56641)),x56642),x56643),x56643)),
% 39.68/39.53 inference(rename_variables,[],[4356])).
% 39.68/39.53 cnf(5678,plain,
% 39.68/39.53 (P8(a1,x56781,f12(a1,x56781,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(5680,plain,
% 39.68/39.53 (P8(a61,f36(f36(f9(a61),f4(a61)),f13(a61,f13(a61,f42(x56801,a2)))),f36(f36(f9(a61),f42(x56801,a2)),f13(a61,f13(a61,f42(x56801,a2)))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,525,257,308,374,388,412,428,5565,5616,537,520,512,507,5613,5657,433,204,370,473,475,575,563,5569,569,434,5547,5568,367,480,341,400,494,407,207,393,240,386,401,406,265,361,402,315,365,266,403,306,263,552,305,452,2772,4035,4803,4692,3391,4761,5153,4167,4687,2164,3466,4698,4272,4853,5299,5079,5117,4354,4296,5608,4083,4681,4356,5661,4358,5188,4465,4594,4683,4928,5383,5050,2832,4065,4112,4192,5177,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,3487,2536,1904,3856,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793])).
% 39.68/39.53 cnf(5688,plain,
% 39.68/39.53 (P7(a61,x56881,x56881)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(5695,plain,
% 39.68/39.53 (~P8(a1,x56951,f12(a1,f11(a1,x56951,x56951),x56951))),
% 39.68/39.53 inference(rename_variables,[],[2066])).
% 39.68/39.53 cnf(5698,plain,
% 39.68/39.53 (~P8(a1,x56981,f8(a1,x56981,x56982))),
% 39.68/39.53 inference(rename_variables,[],[3291])).
% 39.68/39.53 cnf(5701,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f10(a59),f4(a59)),f4(a59))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,525,257,308,374,388,412,428,5565,5616,537,520,512,507,5613,5657,433,5543,204,271,300,370,473,475,575,563,5569,569,434,5547,5568,5578,367,480,444,341,400,291,494,407,207,393,240,386,401,406,265,361,402,315,264,365,266,403,306,263,451,552,305,452,2772,4035,4803,4692,3391,4761,5153,4167,4687,2164,4268,3466,4698,4272,4853,5299,5079,5117,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,5188,4465,4594,4683,4928,5383,5050,2493,2832,4065,4112,4192,5177,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,3487,2536,1904,3856,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523])).
% 39.68/39.53 cnf(5716,plain,
% 39.68/39.53 (~P7(a59,x57161,f11(a59,x57161,f10(a59)))),
% 39.68/39.53 inference(rename_variables,[],[4683])).
% 39.68/39.53 cnf(5721,plain,
% 39.68/39.53 (P7(a59,x57211,x57211)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5727,plain,
% 39.68/39.53 (~P7(a1,f11(a1,f12(a1,f36(f36(f9(a1),f4(a1)),f36(f36(f9(a1),f4(a1)),f4(a1))),f10(a1)),f4(a1)),f11(a1,f36(f36(f9(a1),f4(a1)),f36(f36(f9(a1),f4(a1)),f4(a1))),f4(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,374,388,412,428,5565,5616,492,430,537,520,512,507,5613,5657,433,5543,204,248,271,300,370,473,475,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,480,444,341,400,291,494,407,207,393,240,386,401,406,265,361,402,392,315,264,365,266,403,306,263,451,552,305,452,2772,4035,4803,4692,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,5079,5117,5320,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732])).
% 39.68/39.53 cnf(5728,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x57281,f10(a1)),x57281)),
% 39.68/39.53 inference(rename_variables,[],[577])).
% 39.68/39.53 cnf(5729,plain,
% 39.68/39.53 (P7(a1,x57291,f36(f36(f9(a1),x57291),f36(f36(f9(a1),x57291),x57291)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5730,plain,
% 39.68/39.53 (P7(a1,f4(a1),x57301)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(5733,plain,
% 39.68/39.53 (P7(a1,x57331,f36(f36(f9(a1),x57331),f36(f36(f9(a1),x57331),x57331)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5736,plain,
% 39.68/39.53 (P7(a1,x57361,f36(f36(f9(a1),x57361),f36(f36(f9(a1),x57361),x57361)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5738,plain,
% 39.68/39.53 (~P8(a61,f42(x57381,a2),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,312,374,388,412,428,5565,5616,492,430,537,520,512,507,5613,5657,5729,5733,433,5543,204,248,271,300,370,473,475,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,444,341,400,291,494,407,207,393,240,386,401,406,265,361,402,392,315,264,365,266,403,306,263,451,552,305,452,2772,4035,4803,4692,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,5079,2333,5117,5320,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,3450,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549])).
% 39.68/39.53 cnf(5740,plain,
% 39.68/39.53 (P7(a61,f13(a61,f4(a61)),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,312,374,388,412,428,5565,5616,492,430,537,520,512,507,5613,5657,5729,5733,433,5543,204,248,271,300,370,473,475,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,444,341,400,291,494,407,207,393,240,386,401,406,265,361,402,392,315,264,365,266,403,306,263,451,552,305,452,2772,4035,4803,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,5079,2333,5117,5320,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,3450,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449])).
% 39.68/39.53 cnf(5751,plain,
% 39.68/39.53 (~P8(a1,f11(a1,f12(a1,f12(a1,x57511,x57512),x57513),x57513),x57511)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,312,374,388,412,428,5565,5616,492,430,437,537,520,512,507,5613,5657,5729,5733,5736,433,5543,204,248,271,300,370,473,475,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,5678,444,341,400,291,494,407,207,393,240,309,386,401,406,265,361,402,392,315,264,365,266,403,306,263,451,552,290,305,452,2772,4035,4803,1911,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,4515,3450,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163])).
% 39.68/39.53 cnf(5752,plain,
% 39.68/39.53 (~P8(a1,f11(a1,f12(a1,x57521,x57522),x57522),x57521)),
% 39.68/39.53 inference(rename_variables,[],[4515])).
% 39.68/39.53 cnf(5755,plain,
% 39.68/39.53 (P7(a1,x57551,f36(f36(f9(a1),x57551),f36(f36(f9(a1),x57551),x57551)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5756,plain,
% 39.68/39.53 (P7(a1,f11(a1,x57561,x57562),x57561)),
% 39.68/39.53 inference(rename_variables,[],[475])).
% 39.68/39.53 cnf(5758,plain,
% 39.68/39.53 (P8(a1,f11(a1,f36(f36(f9(a1),f4(a1)),f36(f36(f9(a1),f4(a1)),f4(a1))),f4(a1)),f11(a1,f12(a1,f36(f36(f9(a1),f4(a1)),f36(f36(f9(a1),f4(a1)),f4(a1))),f10(a1)),f4(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,312,374,388,412,428,5565,5616,492,430,437,537,520,512,507,5613,5657,5729,5733,5736,5755,433,5543,204,248,271,300,370,473,475,5653,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,5678,444,341,400,291,494,407,207,393,240,309,386,401,406,265,361,402,392,315,264,365,266,403,306,263,451,552,290,305,452,2772,4035,4803,1911,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,4515,3450,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521])).
% 39.68/39.53 cnf(5759,plain,
% 39.68/39.53 (P8(a1,x57591,f12(a1,x57591,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(5760,plain,
% 39.68/39.53 (P7(a1,x57601,f36(f36(f9(a1),x57601),f36(f36(f9(a1),x57601),x57601)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5762,plain,
% 39.68/39.53 (~E(f12(a61,f12(a1,f4(a61),f10(a1)),f12(a1,f4(a61),f10(a1))),f4(a61))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,312,374,388,412,428,5565,5616,492,430,437,537,520,512,507,5613,5657,5729,5733,5736,5755,433,5543,204,248,271,300,370,473,475,5653,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,5678,444,341,400,291,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,263,451,552,290,305,452,2772,4035,4803,1911,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,4515,3450,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842])).
% 39.68/39.53 cnf(5766,plain,
% 39.68/39.53 (~P58(a1)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,525,243,257,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,507,5613,5657,5729,5733,5736,5755,433,5543,204,248,271,300,370,473,475,5653,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,5678,444,341,400,291,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,263,451,552,290,305,452,2772,4035,4803,1911,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,2545,4206,4296,5608,4083,4681,3291,4356,5661,4358,2066,4515,3450,5188,4465,4594,4683,5598,4928,5383,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885])).
% 39.68/39.53 cnf(5767,plain,
% 39.68/39.53 (~E(f36(f36(f9(a1),x57671),f12(a1,f10(a1),f10(a1))),f10(a1))),
% 39.68/39.53 inference(rename_variables,[],[2545])).
% 39.68/39.53 cnf(5768,plain,
% 39.68/39.53 (~E(f12(a1,x57681,f10(a1)),f4(a1))),
% 39.68/39.53 inference(rename_variables,[],[569])).
% 39.68/39.53 cnf(5771,plain,
% 39.68/39.53 (P7(a1,x57711,f12(a1,x57712,f12(a1,x57713,x57711)))),
% 39.68/39.53 inference(rename_variables,[],[1916])).
% 39.68/39.53 cnf(5781,plain,
% 39.68/39.53 (P8(a1,x57811,f12(a1,x57811,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(5787,plain,
% 39.68/39.53 (P7(a1,x57871,f36(f36(f9(a1),x57871),f36(f36(f9(a1),x57871),x57871)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5794,plain,
% 39.68/39.53 (~P8(a1,f12(a1,f12(a1,x57941,f11(a1,x57942,x57943)),x57943),x57942)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,243,257,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,5678,5759,444,341,400,291,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,263,451,552,290,305,452,2772,4035,4803,1911,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,5081,2545,4206,4296,5608,4430,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4683,5598,4928,5383,2867,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477])).
% 39.68/39.53 cnf(5795,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x57951,x57952),x57952)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(5799,plain,
% 39.68/39.53 (P7(a61,f5(a61,f5(a61,f4(a61))),f5(a61,f4(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,243,257,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,434,5547,5568,5578,5688,367,441,576,480,5678,5759,444,341,400,291,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,338,263,451,552,290,305,452,2772,4035,4803,1911,4692,4554,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,5081,2545,4206,4296,5608,4430,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,4928,5383,2867,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123])).
% 39.68/39.53 cnf(5805,plain,
% 39.68/39.53 (~P7(a61,f4(a61),f11(a61,f4(a61),f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,243,257,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,444,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,338,263,451,552,290,305,452,3774,2772,4035,5102,4803,1911,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,5081,2545,4206,5336,4296,5608,4430,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,4928,5383,2867,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694])).
% 39.68/39.53 cnf(5813,plain,
% 39.68/39.53 (~P7(a1,f12(a1,f12(a1,f4(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f12(a1,f4(a1),f10(a1)))),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,218,222,243,257,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,444,202,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,338,263,451,552,290,305,452,3774,3569,2772,4035,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,5320,4354,5081,2545,4206,5336,4296,5608,4430,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,4928,4696,5383,2867,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370])).
% 39.68/39.53 cnf(5816,plain,
% 39.68/39.53 (E(x58161,f12(a59,x58161,f36(f36(f9(a59),f11(a59,x58162,x58162)),x58163)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,218,222,243,257,282,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,444,202,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,264,365,266,403,306,338,263,451,552,290,305,452,3774,3569,2772,4035,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,3711,5320,4354,5081,2545,4206,5336,4296,5608,4430,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,4928,4696,5383,2867,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998])).
% 39.68/39.53 cnf(5822,plain,
% 39.68/39.53 (~P7(a1,f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f36(f36(f9(a1),f11(a1,f4(a1),f4(a1))),x58221),x58222)),x58222)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,218,222,243,257,282,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,277,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,444,202,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,273,264,365,266,403,306,338,263,451,552,290,305,452,3774,3569,2772,4035,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,3711,5320,3713,4354,5081,2545,4206,5336,4296,5608,4430,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399])).
% 39.68/39.53 cnf(5825,plain,
% 39.68/39.53 (P7(a1,f36(f36(f9(a59),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),x58251),f12(a1,f4(a1),f10(a1)))),f10(a59)),x58251)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,218,222,243,257,282,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,277,286,507,5613,5657,5729,5733,5736,5755,5760,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,5781,444,202,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,361,402,267,392,315,273,264,365,266,403,306,338,263,451,552,290,305,452,3774,3569,2772,4035,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,3711,5320,3713,4354,5081,2545,4206,5336,4296,5608,4430,4275,4083,4681,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688])).
% 39.68/39.53 cnf(5826,plain,
% 39.68/39.53 (P7(a1,f36(f36(f9(a1),f12(a1,x58261,f10(a1))),f36(f36(f9(a59),f8(a1,x58262,f12(a1,x58261,f10(a1)))),f10(a59))),x58262)),
% 39.68/39.53 inference(rename_variables,[],[4275])).
% 39.68/39.53 cnf(5827,plain,
% 39.68/39.53 (P8(a1,x58271,f12(a1,x58271,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(5830,plain,
% 39.68/39.53 (P7(a1,x58301,f12(a1,x58302,x58301))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(5845,plain,
% 39.68/39.53 (P7(a61,x58451,x58451)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(5847,plain,
% 39.68/39.53 (P7(f12(a1,a1,f4(a1)),f36(f36(f9(f12(a1,a1,f4(a1))),f4(f12(a1,a1,f4(a1)))),f4(f12(a1,a1,f4(a1)))),f4(f12(a1,a1,f4(a1))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,218,222,243,257,270,282,308,312,319,374,388,412,428,5565,5616,492,430,437,537,520,512,277,286,507,5613,5657,5729,5733,5736,5755,5760,5787,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,577,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,5781,444,202,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,268,361,402,267,392,315,273,264,365,266,403,306,338,263,451,552,290,305,452,4656,3774,3569,2772,4035,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,3711,5320,3713,4354,5081,2545,3908,4206,5336,4296,5608,4430,4275,4083,4453,4681,4689,3291,4356,5661,4358,2066,1975,4515,1916,3450,5188,4465,4594,4677,4683,5598,5716,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422])).
% 39.68/39.53 cnf(5852,plain,
% 39.68/39.53 (~P8(a1,x58521,f12(a1,f11(a1,x58521,x58521),x58521))),
% 39.68/39.53 inference(rename_variables,[],[2066])).
% 39.68/39.53 cnf(5856,plain,
% 39.68/39.53 (P7(a1,x58561,f36(f36(f9(a1),x58561),f36(f36(f9(a1),x58561),x58561)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5863,plain,
% 39.68/39.53 (~P8(a59,x58631,x58631)),
% 39.68/39.53 inference(rename_variables,[],[1874])).
% 39.68/39.53 cnf(5866,plain,
% 39.68/39.53 (~P8(a1,x58661,f12(a1,f11(a1,x58661,x58661),x58661))),
% 39.68/39.53 inference(rename_variables,[],[2066])).
% 39.68/39.53 cnf(5871,plain,
% 39.68/39.53 (~P8(a1,f36(f36(f9(a1),f12(a1,x58711,x58712)),f36(f36(f9(a1),f12(a1,x58711,x58712)),f12(a1,x58711,x58712))),x58712)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,1874,218,222,243,257,270,282,308,312,319,356,374,388,412,428,5565,5616,492,430,437,537,520,512,277,286,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,5795,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,5781,444,202,289,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,268,361,402,267,354,392,315,273,264,365,266,403,306,338,263,451,552,290,305,452,4656,3774,3569,2772,4035,4259,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,3711,5320,3713,4354,5081,2545,3908,4206,5336,3669,4296,5608,4430,4275,4083,4453,4681,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,2209,4465,4594,4677,4683,5598,5716,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2349,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140])).
% 39.68/39.53 cnf(5872,plain,
% 39.68/39.53 (P7(a1,x58721,f36(f36(f9(a1),x58721),f36(f36(f9(a1),x58721),x58721)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5875,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x58751,x58752),x58752)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(5877,plain,
% 39.68/39.53 (P7(a59,f4(a59),f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,396,410,549,424,431,525,1874,218,222,243,257,270,282,308,312,319,356,374,388,412,428,5565,5616,492,430,437,537,520,512,277,286,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,433,5543,204,226,248,271,300,370,473,5612,475,5653,575,5795,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,367,371,441,576,480,5678,5759,5781,444,202,289,341,400,291,311,359,494,407,207,393,240,309,386,401,406,265,268,361,402,267,354,392,315,273,264,365,266,403,306,338,263,451,552,290,305,452,4656,3774,3569,2772,4035,4259,5013,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,4853,5299,4127,5079,2333,5117,3711,5320,3713,4354,5081,2545,3908,4206,5336,3669,4296,5608,4430,4275,4083,4453,4681,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,2209,4465,4594,4677,4683,5598,5716,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,3577,5233,2349,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848])).
% 39.68/39.53 cnf(5884,plain,
% 39.68/39.53 (P7(a59,x58841,x58841)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5887,plain,
% 39.68/39.53 (P7(a1,x58871,f36(f36(f9(a1),x58871),f36(f36(f9(a1),x58871),x58871)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(5897,plain,
% 39.68/39.53 (~E(f12(a1,f12(a1,f11(a1,x58971,f4(a1)),f4(a1)),f10(a1)),x58971)),
% 39.68/39.53 inference(rename_variables,[],[5220])).
% 39.68/39.53 cnf(5903,plain,
% 39.68/39.53 (E(f8(a1,x59031,f12(a1,f4(a1),f10(a1))),x59031)),
% 39.68/39.53 inference(rename_variables,[],[486])).
% 39.68/39.53 cnf(5919,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x59191,x59192),x59191)),
% 39.68/39.53 inference(rename_variables,[],[576])).
% 39.68/39.53 cnf(5923,plain,
% 39.68/39.53 (P10(a2,x59231,f36(f36(f9(a2),x59232),f36(f36(f9(a2),f36(f14(a2,a63),a64)),f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,1874,218,222,243,245,257,270,282,308,312,319,356,374,388,412,428,5565,5616,492,430,437,486,537,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,433,5543,5721,204,226,229,237,248,271,300,370,405,473,5612,475,5653,575,5795,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,367,371,389,398,441,576,480,5678,5759,5781,444,518,202,289,341,400,291,311,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,267,354,392,315,206,273,264,365,266,403,306,338,263,451,552,290,305,452,4656,3774,3569,2772,4035,4259,5055,5013,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,4127,5079,2333,5117,3711,5320,3713,4354,5081,2545,3908,4206,5336,3669,4257,3361,4296,5608,4430,4275,4083,4453,4681,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,2209,4465,4594,4677,4683,5598,5716,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284])).
% 39.68/39.53 cnf(5931,plain,
% 39.68/39.53 (~E(f12(a59,x59311,f12(a59,f12(a59,f10(a59),x59312),x59312)),x59311)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,1874,218,222,243,245,257,270,282,308,312,319,356,374,388,412,415,428,5565,5616,492,430,437,486,537,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,433,5543,5721,204,226,229,237,248,271,300,370,405,473,5612,475,5653,575,5795,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,367,371,389,398,441,576,480,5678,5759,5781,444,518,202,289,341,400,578,291,311,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,267,354,392,315,206,273,264,365,266,403,306,338,263,451,552,290,305,452,4656,3774,3569,2772,4035,4259,5055,5013,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,4127,5079,2333,5096,5117,3711,5320,3713,4354,2060,5081,2545,3908,4206,5336,3669,4257,3361,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,2209,4465,4594,4677,4683,5598,5716,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836])).
% 39.68/39.53 cnf(5933,plain,
% 39.68/39.53 (P8(a59,f11(a59,f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))),f4(a59)),f4(a59))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,1874,218,222,243,245,257,270,282,308,312,319,356,374,388,412,415,428,5565,5616,492,430,437,486,537,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,433,5543,5721,204,226,229,237,248,271,300,370,405,473,5612,475,5653,575,5795,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,367,371,389,398,441,576,480,5678,5759,5781,444,518,202,289,341,400,578,291,311,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,267,354,392,315,206,273,264,365,266,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,4692,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,4127,5079,2333,5096,5117,3711,5320,3713,4354,2060,5081,2545,3908,4206,5336,3669,4257,3361,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,2209,4465,4594,4677,4683,5598,5716,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2044,2788,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211])).
% 39.68/39.53 cnf(5943,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x59431,f10(a1)),x59431)),
% 39.68/39.53 inference(rename_variables,[],[577])).
% 39.68/39.53 cnf(5950,plain,
% 39.68/39.53 (P7(a1,f4(a1),x59501)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(5954,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x59541,x59542),x59542)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(5958,plain,
% 39.68/39.53 (P7(a1,f11(a1,x59581,x59582),x59581)),
% 39.68/39.53 inference(rename_variables,[],[475])).
% 39.68/39.53 cnf(5961,plain,
% 39.68/39.53 (P7(a1,f11(a1,x59611,x59612),x59611)),
% 39.68/39.53 inference(rename_variables,[],[475])).
% 39.68/39.53 cnf(5962,plain,
% 39.68/39.53 (~E(f12(a1,f36(f36(f9(a1),f4(a1)),x59621),f12(a1,f4(a1),f10(a1))),f12(a1,f36(f36(f9(a1),x59622),x59621),f12(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.53 inference(rename_variables,[],[4343])).
% 39.68/39.53 cnf(5967,plain,
% 39.68/39.53 (E(f12(a1,f36(f36(f9(a1),x59671),x59672),x59673),f12(a1,f36(f36(f9(a1),f11(a1,f12(a1,x59671,x59671),x59671)),x59672),x59673))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,540,1874,218,222,243,245,257,270,282,308,312,319,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,433,5543,5721,204,226,229,237,248,271,300,370,405,473,5612,5830,475,5653,5756,5958,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,367,371,389,398,441,5730,576,480,5678,5759,5781,444,518,202,289,341,400,578,291,311,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,267,354,392,315,206,273,264,365,266,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,4692,2662,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,4127,5079,2333,4343,5096,5117,3711,5320,3713,4354,2060,5081,2545,3908,4206,5336,3669,4257,3361,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,5658,2209,4465,2288,4594,4677,4683,5598,5716,5308,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2235,2044,2788,2029,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818])).
% 39.68/39.53 cnf(5968,plain,
% 39.68/39.53 (P7(a1,x59681,f12(a1,x59682,x59681))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(5974,plain,
% 39.68/39.53 (~P7(a59,f12(a59,x59741,f10(a59)),x59741)),
% 39.68/39.53 inference(rename_variables,[],[4594])).
% 39.68/39.53 cnf(5980,plain,
% 39.68/39.53 (~E(f12(a2,f36(f36(f9(a2),x59801),f36(f36(f23(a2),x59801),f11(a1,a67,f12(a1,f4(a1),f10(a1))))),f36(f36(f9(a2),f36(f14(a2,a69),f4(a2))),f36(f14(a2,a69),f4(a2)))),f12(a2,f36(f36(f9(a2),x59802),f36(f36(f23(a2),x59802),f11(a1,a67,f12(a1,f4(a1),f10(a1))))),f36(f36(f9(a2),f36(f14(a2,a69),f4(a2))),f4(a2))))),
% 39.68/39.53 inference(rename_variables,[],[4963])).
% 39.68/39.53 cnf(5983,plain,
% 39.68/39.53 (P7(a59,x59831,x59831)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(5991,plain,
% 39.68/39.53 (~P7(a59,f12(a59,f11(a59,f36(f36(f9(a59),f10(a59)),f10(a59)),f36(f36(f9(a59),f10(a59)),f4(a59))),f10(a59)),f10(a59))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,540,1874,218,222,243,245,257,270,282,308,312,319,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,433,5543,5721,5884,204,226,229,237,248,271,300,370,405,473,5612,5830,475,5653,5756,5958,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,367,371,389,398,441,5730,576,480,5678,5759,5781,5827,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,267,354,392,315,206,273,264,365,266,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,4692,2662,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,4127,5079,2333,4343,5096,4963,5117,3711,5320,3713,4354,2060,5081,2545,3908,4206,5336,3669,4923,4257,3361,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2235,2044,2788,2029,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307])).
% 39.68/39.53 cnf(6001,plain,
% 39.68/39.53 (~P10(a59,f36(f36(f9(a59),f4(a59)),f12(a59,f12(a59,f10(a59),x60011),x60011)),f36(f36(f9(a59),f10(a59)),f12(a59,f12(a59,f10(a59),x60011),x60011)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,540,1874,218,222,243,245,257,270,282,308,312,319,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,433,5543,5721,5884,204,226,229,237,248,271,300,370,405,473,5612,5830,475,5653,5756,5958,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,367,371,389,398,441,5730,576,480,5678,5759,5781,5827,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,267,354,392,315,206,273,264,365,266,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,4692,2662,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,4127,5079,2333,4343,5096,4963,5117,3711,5320,3713,4354,2060,5081,2545,3908,4102,4206,5336,3669,4923,4257,3361,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2235,2044,2788,2029,2143,3760,2754,3487,2536,1904,3856,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591])).
% 39.68/39.53 cnf(6026,plain,
% 39.68/39.53 (P7(a1,x60261,f36(f36(f9(a1),x60261),f36(f36(f9(a1),x60261),x60261)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6030,plain,
% 39.68/39.53 (E(f36(f36(f9(a1),f36(f36(f9(a1),x60301),f4(a1))),x60302),f36(f36(f9(a1),f36(f36(f9(a1),x60301),f4(a1))),x60303))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,433,5543,5721,5884,204,226,229,237,248,271,300,370,405,473,5612,5830,475,5653,5756,5958,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,555,267,354,392,315,206,273,264,365,266,379,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5117,3711,5320,3713,4354,2060,5081,2545,3908,4102,4206,5336,3669,4923,4257,3361,4909,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2235,2044,2788,2029,2143,3760,2754,3487,2536,1904,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832])).
% 39.68/39.53 cnf(6033,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x60331)),x60331)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(6040,plain,
% 39.68/39.53 (P8(a1,f36(f36(f23(a1),f12(a1,f4(a1),f10(a1))),x60401),f12(a1,f12(a1,f4(a1),f10(a1)),f10(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,204,226,229,237,248,271,300,370,405,473,5612,5830,475,5653,5756,5958,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,555,267,354,392,315,206,273,264,365,266,379,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5117,3711,5320,3713,4354,2060,5081,2545,3908,4102,4206,5336,3669,4923,4257,3361,4909,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3577,5233,5239,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,1904,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352])).
% 39.68/39.53 cnf(6041,plain,
% 39.68/39.53 (P8(a1,x60411,f12(a1,x60411,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(6043,plain,
% 39.68/39.53 (~P8(a59,f4(a59),f11(a59,f10(a59),f12(a59,f10(a59),f10(a59))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,204,226,229,237,248,271,300,370,405,473,5612,5830,475,5653,5756,5958,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,406,265,268,361,402,555,267,354,392,315,206,273,264,365,266,379,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5117,3711,5320,3713,4354,2060,5081,2545,3908,4102,4206,5336,3669,4923,4257,3361,4909,4296,5608,4430,4275,4083,4453,4681,1990,4689,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3317,3577,5233,5239,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463])).
% 39.68/39.53 cnf(6052,plain,
% 39.68/39.53 (P8(a1,x60521,f12(a1,x60521,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(6055,plain,
% 39.68/39.53 (~E(f36(f36(f9(a1),x60551),f12(a1,f10(a1),f10(a1))),f10(a1))),
% 39.68/39.53 inference(rename_variables,[],[2545])).
% 39.68/39.53 cnf(6060,plain,
% 39.68/39.53 (P7(a1,x60601,f12(a1,x60602,f12(a1,x60603,x60601)))),
% 39.68/39.53 inference(rename_variables,[],[1916])).
% 39.68/39.53 cnf(6074,plain,
% 39.68/39.53 (P7(a1,f4(a1),x60741)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(6081,plain,
% 39.68/39.53 (~P8(a61,f4(a61),f13(a61,f4(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,315,206,273,264,365,266,379,391,403,306,338,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,2264,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,5320,3713,4354,2060,5081,2545,5767,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4382,3291,4356,5661,4358,2066,5695,5852,1975,4515,1916,5771,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414])).
% 39.68/39.53 cnf(6090,plain,
% 39.68/39.53 (P7(a1,x60901,f36(f36(f9(a1),x60901),f36(f36(f9(a1),x60901),x60901)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6092,plain,
% 39.68/39.53 (~E(f12(a1,x60921,f12(a1,x60922,f10(a1))),x60921)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,2264,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4382,3291,4246,4356,5661,4358,2066,5695,5852,1975,4515,1916,5771,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792])).
% 39.68/39.53 cnf(6094,plain,
% 39.68/39.53 (P7(a1,f12(a1,x60941,f4(a1)),x60941)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,2264,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4382,3291,4246,4356,5661,4358,2066,5695,5852,1975,4515,1916,5771,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919])).
% 39.68/39.53 cnf(6100,plain,
% 39.68/39.53 (P7(a61,f5(a61,f36(f36(f9(a61),x61001),x61001)),f36(f36(f9(a61),x61002),x61002))),
% 39.68/39.53 inference(rename_variables,[],[512])).
% 39.68/39.53 cnf(6102,plain,
% 39.68/39.53 (P8(a1,f12(a1,f4(a1),f10(a1)),f12(a1,f12(a1,f4(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f4(a1),f12(a1,f4(a1),f10(a1)))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,2264,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,4358,2066,5695,5852,1975,4515,1916,5771,6060,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915])).
% 39.68/39.53 cnf(6103,plain,
% 39.68/39.53 (P7(a1,x61031,f12(a1,x61032,f12(a1,x61033,x61031)))),
% 39.68/39.53 inference(rename_variables,[],[1916])).
% 39.68/39.53 cnf(6107,plain,
% 39.68/39.53 (E(f11(a61,f12(a61,x61071,x61072),x61072),x61071)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,4272,5220,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,4358,2066,5695,5852,1975,4515,1916,5771,6060,3450,5188,5658,2209,4465,2288,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000])).
% 39.68/39.53 cnf(6120,plain,
% 39.68/39.53 (~P11(a1)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,4554,5375,3391,4761,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,4358,2066,5695,5852,1975,4515,1916,5771,6060,3450,5188,5658,2209,4465,2288,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884])).
% 39.68/39.53 cnf(6122,plain,
% 39.68/39.53 (~E(f12(a1,x61221,f10(a1)),f4(a1))),
% 39.68/39.53 inference(rename_variables,[],[569])).
% 39.68/39.53 cnf(6128,plain,
% 39.68/39.53 (~P8(a59,x61281,x61281)),
% 39.68/39.53 inference(rename_variables,[],[1874])).
% 39.68/39.53 cnf(6131,plain,
% 39.68/39.53 (P7(a61,f4(a61),f13(a61,f4(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,5863,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,5375,3391,4761,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,3450,5188,5658,2209,4465,2288,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456])).
% 39.68/39.53 cnf(6138,plain,
% 39.68/39.53 (~P8(a1,f6(a2,a63),f12(a1,f4(a1),f10(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,5863,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,348,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,5375,3391,4761,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,3450,5188,5658,2209,4465,2288,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221])).
% 39.68/39.53 cnf(6140,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x61401,f12(a1,f4(a1),f12(a1,x61402,x61403))),x61403)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,549,424,431,438,511,525,540,1874,5863,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,475,5653,5756,5958,5961,575,5795,5875,577,5728,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,348,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,5375,3391,4761,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,3450,2278,5188,5658,2209,4465,2288,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379])).
% 39.68/39.53 cnf(6150,plain,
% 39.68/39.53 (P7(a1,x61501,f12(a1,x61501,x61502))),
% 39.68/39.53 inference(rename_variables,[],[474])).
% 39.68/39.53 cnf(6151,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x61511,f10(a1)),x61511)),
% 39.68/39.53 inference(rename_variables,[],[577])).
% 39.68/39.53 cnf(6155,plain,
% 39.68/39.53 (P8(a59,f36(f36(f9(a59),x61551),x61552),f12(a59,f36(f36(f9(a59),x61553),x61552),f12(a59,f36(f36(f9(a59),f11(a59,x61551,x61553)),x61552),f10(a59))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,577,5728,5943,478,563,5569,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,444,518,202,289,341,348,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,5375,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,2278,5188,5658,2209,4465,2288,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294])).
% 39.68/39.53 cnf(6179,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x61791)),x61791)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(6182,plain,
% 39.68/39.53 (P7(a1,x61821,f36(f36(f9(a1),x61821),x61821))),
% 39.68/39.53 inference(rename_variables,[],[469])).
% 39.68/39.53 cnf(6190,plain,
% 39.68/39.53 (~P7(a59,f12(a59,f12(a59,f10(a59),f10(a59)),f12(a59,f10(a59),f10(a59))),f4(a59))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,202,289,341,348,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,2278,5188,5658,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972])).
% 39.68/39.53 cnf(6196,plain,
% 39.68/39.53 (P7(a1,x61961,f12(a1,x61962,f11(a1,f12(a1,x61961,x61963),x61963)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,202,289,341,348,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,4183,2278,5188,5658,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601])).
% 39.68/39.53 cnf(6199,plain,
% 39.68/39.53 (~P8(a59,f5(a59,f5(a59,x61991)),x61991)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,202,289,341,348,400,578,291,311,339,359,494,407,207,393,240,316,309,386,401,239,406,265,268,361,402,555,267,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,4183,2278,5188,5658,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094])).
% 39.68/39.53 cnf(6208,plain,
% 39.68/39.53 (~E(f12(a1,x62081,f4(a59)),f12(a1,x62081,f10(a59)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,4183,2278,5188,5658,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964])).
% 39.68/39.53 cnf(6211,plain,
% 39.68/39.53 (~E(f12(a61,x62111,f12(a1,f5(a61,x62111),f10(a1))),f4(a61))),
% 39.68/39.53 inference(rename_variables,[],[2951])).
% 39.68/39.53 cnf(6222,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x62221,f10(a1)),x62221)),
% 39.68/39.53 inference(rename_variables,[],[577])).
% 39.68/39.53 cnf(6223,plain,
% 39.68/39.53 (P7(a1,x62231,f36(f36(f9(a1),x62231),f36(f36(f9(a1),x62231),x62231)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6225,plain,
% 39.68/39.53 (~P8(a1,x62251,f8(a1,f11(a1,x62251,x62252),x62253))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164])).
% 39.68/39.53 cnf(6231,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x62311,f10(a1)),x62311)),
% 39.68/39.53 inference(rename_variables,[],[577])).
% 39.68/39.53 cnf(6232,plain,
% 39.68/39.53 (P7(a1,x62321,f36(f36(f9(a1),x62321),f36(f36(f9(a1),x62321),x62321)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6234,plain,
% 39.68/39.53 (~P8(a61,f4(a61),f5(a61,f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,366,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,5113,4556,4891,3317,5126,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039])).
% 39.68/39.53 cnf(6237,plain,
% 39.68/39.53 (~P8(a1,x62371,f12(a1,f11(a1,x62371,x62371),x62371))),
% 39.68/39.53 inference(rename_variables,[],[2066])).
% 39.68/39.53 cnf(6240,plain,
% 39.68/39.53 (P8(a1,x62401,f12(a1,f12(a1,x62402,x62401),f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[518])).
% 39.68/39.53 cnf(6250,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x62501,f12(a1,f12(a1,x62502,x62503),f10(a1))),x62503)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,366,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136])).
% 39.68/39.53 cnf(6251,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x62511,x62512),x62512)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(6260,plain,
% 39.68/39.53 (P8(a61,f13(a61,f5(a61,f5(a61,f4(a61)))),f10(a61))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873])).
% 39.68/39.53 cnf(6262,plain,
% 39.68/39.53 (~P8(a59,f5(a59,f4(a59)),f5(a59,f10(a59)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,4583,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137])).
% 39.68/39.53 cnf(6268,plain,
% 39.68/39.53 (~P8(a1,x62681,f12(a1,f11(a1,x62681,x62681),x62681))),
% 39.68/39.53 inference(rename_variables,[],[2066])).
% 39.68/39.53 cnf(6269,plain,
% 39.68/39.53 (P7(a1,x62691,f12(a1,x62692,x62691))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(6282,plain,
% 39.68/39.53 (P7(a59,f11(a59,f12(a59,x62821,f10(a59)),f10(a59)),x62821)),
% 39.68/39.53 inference(rename_variables,[],[1907])).
% 39.68/39.53 cnf(6286,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x62861)),x62861)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(6293,plain,
% 39.68/39.53 (P7(a59,f11(a59,f12(a59,f5(a59,f10(a59)),f10(a59)),f10(a59)),f4(a59))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,4583,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,1907,6282,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102])).
% 39.68/39.53 cnf(6296,plain,
% 39.68/39.53 (~E(f5(a61,f12(a1,f5(a2,f12(a1,f5(a2,f11(a1,f5(a61,x62961),f5(a61,x62961))),f10(a1))),f5(a61,x62961))),x62961)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,1907,6282,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677])).
% 39.68/39.53 cnf(6298,plain,
% 39.68/39.53 (~E(f12(a1,x62981,x62982),f12(a1,f12(a59,f36(f36(f9(a59),f5(a59,f10(a59))),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a59,f11(a1,f12(a1,x62981,x62982),x62982),f5(a59,f10(a59))),f10(a1))),f12(a1,f4(a1),f10(a1)))),f4(a59)),x62982))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,4885,4928,4696,1907,6282,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107])).
% 39.68/39.53 cnf(6299,plain,
% 39.68/39.53 (~E(x62991,f12(a59,f36(f36(f9(a59),f5(a59,f10(a59))),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a59,x62991,f5(a59,f10(a59))),f10(a1))),f12(a1,f4(a1),f10(a1)))),f4(a59)))),
% 39.68/39.53 inference(rename_variables,[],[5343])).
% 39.68/39.53 cnf(6306,plain,
% 39.68/39.53 (P7(a1,x63061,f36(f36(f9(a1),x63061),f36(f36(f9(a1),x63061),x63061)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6307,plain,
% 39.68/39.53 (~E(f12(a1,x63071,f12(a1,f4(a1),f10(a1))),x63071)),
% 39.68/39.53 inference(rename_variables,[],[1944])).
% 39.68/39.53 cnf(6308,plain,
% 39.68/39.53 (P7(a1,x63081,f12(a1,x63082,x63081))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(6335,plain,
% 39.68/39.53 (P8(a59,f12(a59,f11(a59,f4(a59),f10(a59)),f10(a59)),f10(a59))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,474,475,5653,5756,5958,5961,575,5795,5875,5954,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319])).
% 39.68/39.53 cnf(6338,plain,
% 39.68/39.53 (P7(a1,x63381,f36(f36(f9(a1),x63381),f36(f36(f9(a1),x63381),x63381)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6349,plain,
% 39.68/39.53 (P7(a1,f8(a1,x63491,x63492),x63491)),
% 39.68/39.53 inference(rename_variables,[],[476])).
% 39.68/39.53 cnf(6370,plain,
% 39.68/39.53 (P7(a1,f11(a1,x63701,x63701),x63702)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,575,5795,5875,5954,6251,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478])).
% 39.68/39.53 cnf(6380,plain,
% 39.68/39.53 (P8(a1,x63801,f12(a1,f12(a1,x63802,f12(a1,x63801,x63803)),f10(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275])).
% 39.68/39.53 cnf(6381,plain,
% 39.68/39.53 (P8(a1,x63811,f12(a1,f12(a1,x63812,x63811),f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[518])).
% 39.68/39.53 cnf(6383,plain,
% 39.68/39.53 (~P7(a61,f36(f36(f9(a61),f10(a61)),f10(a61)),f36(f36(f9(a61),f10(a61)),f4(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993])).
% 39.68/39.53 cnf(6395,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x63951,x63952),x63952)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(6398,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x63981,x63982),x63982)),
% 39.68/39.53 inference(rename_variables,[],[575])).
% 39.68/39.53 cnf(6406,plain,
% 39.68/39.53 (~P10(f62(a2),f5(f62(a2),f21(a2,x64061,f36(f36(f23(f62(a2)),f15(a2,f5(a2,x64062),f15(a2,f10(a2),f4(f62(a2))))),f12(a1,f17(a2,x64062,a63),f10(a1))))),f21(a2,f36(f14(a2,a63),a64),a63))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,6381,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2026,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4484,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,2487,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022])).
% 39.68/39.53 cnf(6408,plain,
% 39.68/39.53 (P8(a61,f4(a61),f12(a61,f36(f36(f9(a61),f36(f36(f9(a61),f10(a61)),f10(a61))),f36(f36(f9(a61),f10(a61)),f10(a61))),f36(f36(f9(a61),f36(f36(f9(a61),f10(a61)),f10(a61))),f36(f36(f9(a61),f10(a61)),f10(a61)))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,6381,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2026,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4484,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,2487,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223])).
% 39.68/39.53 cnf(6417,plain,
% 39.68/39.53 (~P8(a1,x64171,f36(f36(f9(a1),x64172),f4(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,577,5728,5943,6151,6222,478,563,5569,469,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,480,5678,5759,5781,5827,6041,6052,444,518,6240,6381,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2026,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4484,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,2487,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799])).
% 39.68/39.53 cnf(6435,plain,
% 39.68/39.53 (~P7(a1,f12(a1,f6(a2,a63),f10(a1)),f12(a1,f12(a1,a67,f10(a1)),f10(a1)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,577,5728,5943,6151,6222,478,563,5569,469,6182,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,444,518,6240,6381,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,5055,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,5044,2026,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4484,4556,4891,3317,5126,3577,5233,1959,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,2487,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595])).
% 39.68/39.53 cnf(6452,plain,
% 39.68/39.53 (P7(a1,x64521,f36(f36(f9(a1),x64521),f36(f36(f9(a1),x64521),x64521)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6454,plain,
% 39.68/39.53 (P8(a1,x64541,f12(a1,f12(a1,x64542,x64541),f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[518])).
% 39.68/39.53 cnf(6457,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x64571)),x64571)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(6460,plain,
% 39.68/39.53 (E(x64601,f12(a1,f36(f36(f9(a1),f11(a1,x64602,x64602)),x64603),x64601))),
% 39.68/39.53 inference(rename_variables,[],[5153])).
% 39.68/39.53 cnf(6462,plain,
% 39.68/39.53 (E(f11(x64621,f6(a2,a63),x64622),f11(x64621,f6(a2,a69),x64622))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,577,5728,5943,6151,6222,478,563,5569,469,6182,569,5768,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,444,518,6240,6381,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,5153,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,3305,5044,2026,2355,4272,5220,5897,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4484,4556,4891,3317,5126,3577,5233,1959,1972,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,2086,1904,2000,3856,3327,3282,3271,3269,3266,3246,2497,2141,2487,1883,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27])).
% 39.68/39.53 cnf(6480,plain,
% 39.68/39.53 (P8(a1,x64801,f12(a1,x64801,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(6485,plain,
% 39.68/39.53 (~E(f12(a1,f12(a1,f11(a1,x64851,f4(a1)),f4(a1)),f10(a1)),x64851)),
% 39.68/39.53 inference(rename_variables,[],[5220])).
% 39.68/39.53 cnf(6486,plain,
% 39.68/39.53 (~E(f12(a1,x64861,f10(a1)),f4(a1))),
% 39.68/39.53 inference(rename_variables,[],[569])).
% 39.68/39.53 cnf(6489,plain,
% 39.68/39.53 (~E(f12(a1,f12(a1,f11(a1,x64891,f4(a1)),f4(a1)),f10(a1)),x64891)),
% 39.68/39.53 inference(rename_variables,[],[5220])).
% 39.68/39.53 cnf(6490,plain,
% 39.68/39.53 (~E(f12(a1,x64901,f10(a1)),f4(a1))),
% 39.68/39.53 inference(rename_variables,[],[569])).
% 39.68/39.53 cnf(6504,plain,
% 39.68/39.53 (~P7(a61,f13(a61,f10(a61)),f5(a61,f13(a61,f10(a61))))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,6398,577,5728,5943,6151,6222,6231,478,563,5569,469,6182,569,5768,6122,6486,6490,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,444,518,6240,6381,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,487,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,4109,5013,5102,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,4757,5153,6460,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,3305,5044,2026,2355,4272,5220,5897,6485,6489,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3732,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,5282,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4755,5113,4484,4556,4891,3317,5126,3577,5233,1959,1972,5239,2899,2349,2534,2235,2044,2788,1944,2029,2143,3760,2754,3487,2573,2536,2540,2086,1904,2000,3856,3327,3282,3271,3269,3266,3246,2074,2497,2141,2487,2901,1883,2241,2125,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27,16,131,115,1063,1068,1245,968,777,1629,1036,1832,1020,1725,1588,1699,911,1686,666,1242])).
% 39.68/39.53 cnf(6522,plain,
% 39.68/39.53 (P8(a1,x65221,f12(a1,x65221,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(6528,plain,
% 39.68/39.53 (P8(a1,x65281,f12(a1,x65281,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(6529,plain,
% 39.68/39.53 (P8(a1,x65291,f12(a1,x65291,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[480])).
% 39.68/39.53 cnf(6530,plain,
% 39.68/39.53 (P7(a1,x65301,f36(f36(f9(a1),x65301),f36(f36(f9(a1),x65301),x65301)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6558,plain,
% 39.68/39.53 (~P8(a61,f5(a61,f36(f36(f9(a61),f11(a1,f12(a1,x65581,f4(a61)),x65581)),f11(a1,f12(a1,x65581,f4(a61)),x65581))),f36(f36(f9(a61),f11(a1,f12(a1,x65581,f4(a61)),x65581)),f11(a1,f12(a1,x65581,f4(a61)),x65581)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,384,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,6457,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,6452,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,6150,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,6398,577,5728,5943,6151,6222,6231,478,563,5569,469,6182,569,5768,6122,6486,6490,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,6480,6522,444,518,6240,6381,6454,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,487,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,4169,4109,5013,5102,3491,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,4757,5153,6460,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,3305,5044,2026,2355,4272,5220,5897,6485,6489,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3732,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,5087,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4543,5218,5282,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4791,4755,5113,4950,4484,4556,4891,3317,5126,3577,5233,1959,1972,5239,2899,2127,2349,2534,2235,2044,2788,1944,6307,2029,2143,2205,3760,2495,2754,3487,2573,2536,2540,2086,1904,2000,3856,3327,3545,3282,3271,3269,3266,3246,2074,2497,2141,2487,2123,2901,1883,2241,2125,2786,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27,16,131,115,1063,1068,1245,968,777,1629,1036,1832,1020,1725,1588,1699,911,1686,666,1242,1474,1038,1497,1323,1738,1635,1575,1731,1377,1073,1693,1264,1262,1691,1503,736,1491,1410,1110,810,1241])).
% 39.68/39.53 cnf(6564,plain,
% 39.68/39.53 (P7(a1,x65641,f36(f36(f9(a1),x65641),f36(f36(f9(a1),x65641),x65641)))),
% 39.68/39.53 inference(rename_variables,[],[507])).
% 39.68/39.53 cnf(6566,plain,
% 39.68/39.53 (~P8(a61,f4(a61),f36(f36(f9(a61),f11(a1,f12(a1,x65661,f4(a61)),x65661)),f11(a1,f12(a1,x65661,f4(a61)),x65661)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,384,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,6457,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,6452,6530,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,6150,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,6398,577,5728,5943,6151,6222,6231,478,563,5569,469,6182,569,5768,6122,6486,6490,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,6480,6522,444,518,6240,6381,6454,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,487,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,4169,4109,5013,5102,3491,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,4757,5153,6460,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,3305,5044,2026,2355,4272,5220,5897,6485,6489,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3732,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,5087,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4543,5218,5282,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4791,4755,5113,4950,4484,4556,4891,3317,5126,3577,5233,1959,1972,5239,2899,2127,2349,2534,2235,2044,2788,1944,6307,2029,2143,2205,3760,2495,2754,3487,2573,2536,2540,2086,1904,2000,3856,3327,3545,3282,3271,3269,3266,3246,2074,2497,2141,2487,2123,2901,1883,2241,2125,2786,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27,16,131,115,1063,1068,1245,968,777,1629,1036,1832,1020,1725,1588,1699,911,1686,666,1242,1474,1038,1497,1323,1738,1635,1575,1731,1377,1073,1693,1264,1262,1691,1503,736,1491,1410,1110,810,1241,1726,1430])).
% 39.68/39.53 cnf(6568,plain,
% 39.68/39.53 (E(f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))),f4(a2))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,384,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,6457,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,6452,6530,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,6150,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,6398,577,5728,5943,6151,6222,6231,478,563,5569,469,6182,569,5768,6122,6486,6490,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,6480,6522,444,518,6240,6381,6454,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,487,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,4169,4109,5013,5102,3491,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,4757,5153,6460,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,3305,5044,2026,2355,4272,5220,5897,6485,6489,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,5029,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3732,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,5087,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4543,5218,5282,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4791,4755,5113,4950,4484,4556,4891,3317,5126,3577,5233,1959,1972,5239,2899,2127,2349,2534,2235,2044,2788,1944,6307,2029,2143,2205,3760,2495,2754,3487,2573,2536,2540,2086,1904,2000,3856,3327,3545,3282,3271,3269,3266,3246,2074,2497,2141,2487,2123,2901,1883,2241,2125,2786,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27,16,131,115,1063,1068,1245,968,777,1629,1036,1832,1020,1725,1588,1699,911,1686,666,1242,1474,1038,1497,1323,1738,1635,1575,1731,1377,1073,1693,1264,1262,1691,1503,736,1491,1410,1110,810,1241,1726,1430,845])).
% 39.68/39.53 cnf(6571,plain,
% 39.68/39.53 (E(f12(a59,f11(a59,x65711,x65712),x65712),x65711)),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,384,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,6457,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,6452,6530,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,6150,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,6398,577,5728,5943,6151,6222,6231,478,563,5569,469,6182,569,5768,6122,6486,6490,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,6480,6522,444,518,6240,6381,6454,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,487,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,4169,4109,5013,5102,3491,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,4757,5153,6460,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,4698,3305,5044,2026,2355,4272,5220,5897,6485,6489,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,5077,5081,2545,5767,6055,5029,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,4382,3732,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,5087,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4543,5218,5282,3675,4558,4883,5050,2493,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4791,4755,5113,4950,4484,4556,4891,3317,5126,3577,5233,1959,1972,5239,2899,2127,2349,2534,2235,2044,2788,1944,6307,2029,2143,2205,3760,2495,2754,3487,2573,2536,2540,2086,1904,2000,3856,3327,3545,3282,3271,3269,3266,3246,2074,2497,2141,2487,2123,2901,1883,2241,2125,2786,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27,16,131,115,1063,1068,1245,968,777,1629,1036,1832,1020,1725,1588,1699,911,1686,666,1242,1474,1038,1497,1323,1738,1635,1575,1731,1377,1073,1693,1264,1262,1691,1503,736,1491,1410,1110,810,1241,1726,1430,845,970])).
% 39.68/39.53 cnf(6584,plain,
% 39.68/39.53 (P8(a61,f4(a61),f13(a61,f10(a61)))),
% 39.68/39.53 inference(scs_inference,[],[1876,216,272,304,362,384,396,410,574,549,424,431,438,509,511,525,540,1874,5863,6128,218,222,243,245,257,270,282,308,312,319,320,353,356,374,388,412,415,428,5565,5616,6033,6179,6286,6457,492,430,497,437,486,5903,537,496,520,512,5562,6100,277,429,286,275,507,5613,5657,5729,5733,5736,5755,5760,5787,5856,5872,5887,6026,6090,6223,6232,6306,6338,6452,6530,6564,433,5543,5721,5884,5983,204,226,229,237,248,271,279,300,360,366,370,405,473,5612,5830,5968,6269,6308,474,6150,475,5653,5756,5958,5961,476,6349,575,5795,5875,5954,6251,6395,6398,577,5728,5943,6151,6222,6231,478,563,5569,469,6182,569,5768,6122,6486,6490,434,5547,5568,5578,5688,5845,350,367,371,389,398,441,5730,5950,6074,576,5919,480,5678,5759,5781,5827,6041,6052,6480,6522,6529,6528,444,518,6240,6381,6454,202,289,341,348,400,448,578,291,311,339,359,494,407,456,207,358,393,240,287,316,309,386,401,239,406,265,268,361,402,555,267,269,354,392,397,315,206,273,264,365,266,379,391,403,306,338,380,263,337,487,546,451,552,290,305,452,4656,3774,3569,2739,2772,4035,4259,3125,4186,5055,4261,2119,4974,4169,4109,5013,5102,3491,4803,1911,4229,3081,4692,5284,2662,2668,4554,4675,5375,3615,3391,3315,1992,4761,5025,4757,5153,6460,2264,4694,4167,5163,4687,2107,4583,2164,4268,3466,5343,6299,4698,3305,5044,2026,2355,4272,5220,5897,6485,6489,4853,5299,3567,4127,5079,2333,4343,5962,5096,4963,5980,5117,3711,4795,5320,3713,4354,2060,4828,3903,5077,5081,2545,5767,6055,5029,3908,4102,4206,5336,4073,3669,3417,4923,4061,4257,3361,5329,5053,4909,4296,5608,4430,4391,2951,6211,5074,4275,5826,4083,4453,3285,4681,1990,4689,4637,5327,4382,3732,3291,5698,4246,4356,5661,5664,4358,2066,5695,5852,5866,6237,6268,1975,4515,5752,1916,5771,6060,6103,5087,3450,4183,2285,2278,5188,5658,2194,2209,4465,5175,2288,4887,3489,4541,4594,5544,5974,4677,4683,5598,5716,5308,3935,4885,4928,4696,1907,6282,5208,5383,2867,4543,5218,5282,3675,4558,4883,5050,2493,2709,2561,2832,4065,4112,4192,5177,4147,4727,4216,5111,4805,5199,4791,4755,5113,4950,4484,4556,4891,3317,5126,3577,2567,5233,1959,1972,5239,2899,2127,2349,2534,2235,2044,2788,1944,6307,2029,2143,2205,3760,2495,2754,3487,2573,2536,2540,2086,2168,1904,2000,3856,3327,3545,3282,3271,3269,3266,3246,2074,2497,3343,2141,2487,2123,2901,1883,2241,2125,2786,1582,1440,712,1034,1033,1095,1065,1260,1007,934,1568,1690,1558,1078,1669,1344,1066,1684,1643,1216,1131,1056,1452,1192,669,1343,1142,1733,1283,908,1327,190,184,183,181,179,164,160,154,152,138,134,119,1103,826,1299,1012,1628,656,855,1259,1856,1850,1863,1861,1854,1817,1816,778,1540,1220,1793,846,1765,1570,1809,1808,962,1254,169,1523,672,1227,1032,735,671,945,1578,1055,1641,1019,704,1732,1695,1692,1549,1449,834,1569,1730,787,1163,1101,1521,842,1646,885,1847,1642,1544,1698,1803,889,1273,807,1174,1477,1400,1123,883,1146,1694,828,693,1186,1370,998,997,1399,1688,1267,847,926,698,1374,1339,1431,1422,986,1279,1134,1545,1047,1183,1599,1140,1139,848,1190,1375,1356,1229,1605,849,789,837,1476,192,189,187,185,182,180,163,158,156,149,148,143,137,135,133,125,1338,1285,1284,928,1270,836,1211,1090,675,1665,1608,653,797,1858,1857,1848,1830,1819,1818,1860,1853,1851,1827,1780,1533,1394,1541,1307,1685,1650,1648,1647,1591,1561,1560,1556,1415,1835,1811,1843,1632,1151,1150,1728,1373,890,832,1149,1173,1172,1352,1463,1198,684,951,1301,1398,800,1849,1866,1828,1778,1369,1614,1831,1557,1550,1414,1234,1716,1786,1274,792,919,1328,918,915,1082,1000,850,1318,1092,1037,864,884,1852,1309,1456,1834,1727,1221,1379,874,971,1609,1214,1294,1187,1159,1380,965,825,1603,1062,1141,1389,891,929,1292,1287,1584,995,972,714,1044,1601,1094,1547,1266,1176,964,746,1406,1404,1402,1135,1164,933,1519,1039,1098,1298,1072,875,1181,854,1136,853,1388,1424,873,1137,1390,1060,1387,1286,1405,1088,1386,1288,33,764,892,157,130,113,1102,677,1107,863,1862,1351,1649,1559,1810,1729,906,788,694,966,1330,973,916,1319,1106,767,981,798,1829,1551,888,903,963,806,1839,1381,1280,1479,1478,118,703,1537,1802,1275,993,716,1051,1224,865,1138,881,1546,1161,1157,1022,1223,904,811,1315,799,1366,1365,1278,1403,1583,1099,1595,1425,696,994,1597,13,9,174,153,3,10,117,114,15,141,129,116,2,27,16,131,115,1063,1068,1245,968,777,1629,1036,1832,1020,1725,1588,1699,911,1686,666,1242,1474,1038,1497,1323,1738,1635,1575,1731,1377,1073,1693,1264,1262,1691,1503,736,1491,1410,1110,810,1241,1726,1430,845,970,817,1673,838,1666,1664])).
% 39.68/39.53 cnf(6617,plain,
% 39.68/39.53 (E(f12(a59,f11(a59,x66171,x66172),x66172),x66171)),
% 39.68/39.53 inference(rename_variables,[],[6571])).
% 39.68/39.53 cnf(6620,plain,
% 39.68/39.53 (P7(a61,x66201,x66201)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(6625,plain,
% 39.68/39.53 (~E(f12(a1,x66251,f12(a1,x66252,f10(a1))),x66251)),
% 39.68/39.53 inference(rename_variables,[],[6092])).
% 39.68/39.53 cnf(6626,plain,
% 39.68/39.53 (~E(f12(a1,x66261,f12(a1,x66262,f10(a1))),x66262)),
% 39.68/39.53 inference(rename_variables,[],[1939])).
% 39.68/39.53 cnf(6629,plain,
% 39.68/39.53 (P7(a61,x66291,x66291)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(6632,plain,
% 39.68/39.53 (~E(f12(a59,x66321,f12(a59,f12(a59,f10(a59),x66322),x66322)),x66321)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(6639,plain,
% 39.68/39.53 (~E(f12(a1,x66391,f10(a1)),x66391)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6646,plain,
% 39.68/39.53 (~E(f12(a1,x66461,f10(a1)),x66461)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6656,plain,
% 39.68/39.53 (P10(a2,x66561,f36(f36(f9(a2),x66562),f36(f36(f9(a2),f36(f14(a2,a63),a64)),f36(f36(f23(a2),f36(f14(a2,a63),a64)),f11(a1,a67,f12(a1,f4(a1),f10(a1)))))))),
% 39.68/39.53 inference(rename_variables,[],[5923])).
% 39.68/39.53 cnf(6659,plain,
% 39.68/39.53 (P7(a61,f4(a61),f36(f36(f9(a61),x66591),x66591))),
% 39.68/39.53 inference(rename_variables,[],[3487])).
% 39.68/39.53 cnf(6662,plain,
% 39.68/39.53 (~E(f12(a1,x66621,f10(a1)),x66621)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6669,plain,
% 39.68/39.53 (P7(a1,x66691,f36(f36(f9(a1),x66691),x66691))),
% 39.68/39.53 inference(rename_variables,[],[469])).
% 39.68/39.53 cnf(6670,plain,
% 39.68/39.53 (P7(a1,x66701,f12(a1,x66702,x66701))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(6671,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x66711,x66712),x66711)),
% 39.68/39.53 inference(rename_variables,[],[576])).
% 39.68/39.53 cnf(6676,plain,
% 39.68/39.53 (~P7(a1,f12(a1,x66761,f12(a1,f12(a1,x66762,x66763),f10(a1))),x66763)),
% 39.68/39.53 inference(rename_variables,[],[6250])).
% 39.68/39.53 cnf(6679,plain,
% 39.68/39.53 (~E(f12(a59,x66791,f12(a59,f12(a59,f10(a59),x66792),x66792)),x66791)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(6682,plain,
% 39.68/39.53 (~E(f12(a59,x66821,f12(a59,f12(a59,f10(a59),x66822),x66822)),x66821)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(6685,plain,
% 39.68/39.53 (P10(a1,f10(a1),x66851)),
% 39.68/39.53 inference(rename_variables,[],[2375])).
% 39.68/39.53 cnf(6686,plain,
% 39.68/39.53 (~E(f12(a1,x66861,f10(a1)),x66861)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6702,plain,
% 39.68/39.53 (P7(a61,f5(a61,f36(f36(f9(a61),x67021),x67021)),f36(f36(f9(a61),x67022),x67022))),
% 39.68/39.53 inference(rename_variables,[],[512])).
% 39.68/39.53 cnf(6708,plain,
% 39.68/39.53 (E(f11(a61,f12(a61,x67081,x67082),x67082),x67081)),
% 39.68/39.53 inference(rename_variables,[],[6107])).
% 39.68/39.53 cnf(6712,plain,
% 39.68/39.53 (P7(a1,x67121,f12(a1,x67121,x67122))),
% 39.68/39.53 inference(rename_variables,[],[474])).
% 39.68/39.53 cnf(6717,plain,
% 39.68/39.53 (~E(f12(a1,x67171,f10(a1)),x67171)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6722,plain,
% 39.68/39.53 (P8(a1,x67221,f12(a1,f12(a1,x67221,x67222),f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[519])).
% 39.68/39.53 cnf(6723,plain,
% 39.68/39.53 (P7(a1,f4(a1),x67231)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(6724,plain,
% 39.68/39.53 (P7(a1,x67241,f12(a1,x67242,x67241))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(6734,plain,
% 39.68/39.53 (P7(a61,x67341,x67341)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(6780,plain,
% 39.68/39.53 (~E(f12(a1,x67801,x67802),f12(a1,f12(a59,f36(f36(f9(a59),f5(a59,f10(a59))),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a59,f11(a1,f12(a1,x67801,x67802),x67802),f5(a59,f10(a59))),f10(a1))),f12(a1,f4(a1),f10(a1)))),f4(a59)),x67802))),
% 39.68/39.53 inference(rename_variables,[],[6298])).
% 39.68/39.53 cnf(6790,plain,
% 39.68/39.53 (~E(f12(a1,x67901,f10(a1)),x67901)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6802,plain,
% 39.68/39.53 (P7(a59,x68021,x68021)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(6807,plain,
% 39.68/39.53 (~E(f12(a1,x68071,f10(a1)),x68071)),
% 39.68/39.53 inference(rename_variables,[],[563])).
% 39.68/39.53 cnf(6813,plain,
% 39.68/39.53 (P7(a59,x68131,x68131)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(6818,plain,
% 39.68/39.53 (E(f5(a59,f5(a59,x68181)),x68181)),
% 39.68/39.53 inference(rename_variables,[],[428])).
% 39.68/39.53 cnf(6825,plain,
% 39.68/39.53 (~E(f5(a61,f12(a1,f5(a2,f12(a1,f5(a2,f11(a1,f5(a61,x68251),f5(a61,x68251))),f10(a1))),f5(a61,x68251))),x68251)),
% 39.68/39.53 inference(rename_variables,[],[6296])).
% 39.68/39.53 cnf(6828,plain,
% 39.68/39.53 (P7(a1,f11(a1,x68281,x68281),x68282)),
% 39.68/39.53 inference(rename_variables,[],[6370])).
% 39.68/39.53 cnf(6831,plain,
% 39.68/39.53 (~P8(a1,x68311,x68311)),
% 39.68/39.53 inference(rename_variables,[],[558])).
% 39.68/39.53 cnf(6834,plain,
% 39.68/39.53 (P7(a61,x68341,x68341)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(6844,plain,
% 39.68/39.53 (P7(a1,f4(a1),x68441)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(6848,plain,
% 39.68/39.53 (P7(a1,x68481,f12(a1,x68481,x68482))),
% 39.68/39.53 inference(rename_variables,[],[474])).
% 39.68/39.53 cnf(6849,plain,
% 39.68/39.53 (P7(a1,f4(a1),x68491)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(6869,plain,
% 39.68/39.53 (P7(a59,x68691,x68691)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(6872,plain,
% 39.68/39.53 (~E(f12(a59,x68721,f12(a59,f12(a59,f10(a59),x68722),x68722)),x68721)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(6880,plain,
% 39.68/39.53 (P7(a61,f19(a2,x68801),f12(a61,f19(a2,f12(a2,x68801,x68802)),f19(a2,x68802)))),
% 39.68/39.53 inference(rename_variables,[],[536])).
% 39.68/39.53 cnf(6884,plain,
% 39.68/39.53 (P7(a61,x68841,x68841)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(6887,plain,
% 39.68/39.53 (P8(a1,x68871,f12(a1,f12(a1,x68871,x68872),f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[519])).
% 39.68/39.53 cnf(6893,plain,
% 39.68/39.53 (P7(a1,x68931,f12(a1,x68932,x68931))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(6896,plain,
% 39.68/39.53 (E(f36(f36(f9(a1),f10(a1)),x68961),x68961)),
% 39.68/39.53 inference(rename_variables,[],[435])).
% 39.68/39.53 cnf(6899,plain,
% 39.68/39.53 (~E(f12(a59,x68991,f12(a59,f12(a59,f10(a59),x68992),x68992)),x68991)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(6903,plain,
% 39.68/39.53 (P7(a1,f4(a1),x69031)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(6921,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,f11(a59,x69211,x69211),x69212)),x69213),f12(a59,f36(f36(f9(a59),x69212),x69213),x69214)),x69214)),
% 39.68/39.53 inference(rename_variables,[],[5660])).
% 39.68/39.53 cnf(6924,plain,
% 39.68/39.53 (~E(f12(a59,x69241,f12(a59,f12(a59,f10(a59),x69242),x69242)),x69241)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(6940,plain,
% 39.68/39.53 (P7(a61,x69401,x69401)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(6951,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,f11(a59,x69511,x69511),x69512)),x69513),f12(a59,f36(f36(f9(a59),x69512),x69513),x69514)),x69514)),
% 39.68/39.53 inference(rename_variables,[],[5660])).
% 39.68/39.53 cnf(6959,plain,
% 39.68/39.53 (P8(a1,x69591,f12(a1,f12(a1,x69591,x69592),f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[519])).
% 39.68/39.53 cnf(6973,plain,
% 39.68/39.53 (~P8(a59,f12(a59,f36(f36(f9(a59),f11(a59,f11(a59,x69731,x69731),x69732)),x69733),f12(a59,f36(f36(f9(a59),x69732),x69733),x69734)),x69734)),
% 39.68/39.53 inference(rename_variables,[],[5660])).
% 39.68/39.53 cnf(6996,plain,
% 39.68/39.53 (~P8(a1,x69961,f36(f36(f9(a1),x69962),f4(a1)))),
% 39.68/39.53 inference(rename_variables,[],[6417])).
% 39.68/39.53 cnf(6999,plain,
% 39.68/39.53 (~P8(a1,f36(f36(f9(a1),f12(a1,x69991,x69992)),f36(f36(f9(a1),f12(a1,x69991,x69992)),f12(a1,x69991,x69992))),x69992)),
% 39.68/39.53 inference(rename_variables,[],[5871])).
% 39.68/39.53 cnf(7000,plain,
% 39.68/39.53 (~E(f36(f36(f9(a1),f12(a1,f10(a1),f10(a1))),x70001),f10(a1))),
% 39.68/39.53 inference(rename_variables,[],[2542])).
% 39.68/39.53 cnf(7006,plain,
% 39.68/39.53 (P7(a1,f4(a1),x70061)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(7010,plain,
% 39.68/39.53 (P8(a1,f4(a1),f12(a1,x70101,f10(a1)))),
% 39.68/39.53 inference(rename_variables,[],[481])).
% 39.68/39.53 cnf(7015,plain,
% 39.68/39.53 (P7(a61,x70151,x70151)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(7019,plain,
% 39.68/39.53 (P7(a1,f4(a1),x70191)),
% 39.68/39.53 inference(rename_variables,[],[441])).
% 39.68/39.53 cnf(7044,plain,
% 39.68/39.53 (~P8(a59,x70441,x70441)),
% 39.68/39.53 inference(rename_variables,[],[1874])).
% 39.68/39.53 cnf(7051,plain,
% 39.68/39.53 (P7(a61,x70511,x70511)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(7058,plain,
% 39.68/39.53 (P7(a59,x70581,x70581)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(7082,plain,
% 39.68/39.53 (~E(f12(a59,x70821,f12(a59,f12(a59,f10(a59),x70822),x70822)),x70821)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(7085,plain,
% 39.68/39.53 (P7(a1,x70851,f12(a1,x70851,x70852))),
% 39.68/39.53 inference(rename_variables,[],[474])).
% 39.68/39.53 cnf(7094,plain,
% 39.68/39.53 (P7(a61,x70941,x70941)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(7097,plain,
% 39.68/39.53 (P7(a59,x70971,x70971)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(7100,plain,
% 39.68/39.53 (P7(a59,x71001,x71001)),
% 39.68/39.53 inference(rename_variables,[],[433])).
% 39.68/39.53 cnf(7106,plain,
% 39.68/39.53 (P7(a1,f11(a1,x71061,x71062),x71061)),
% 39.68/39.53 inference(rename_variables,[],[475])).
% 39.68/39.53 cnf(7116,plain,
% 39.68/39.53 (P7(a1,x71161,f12(a1,x71161,x71162))),
% 39.68/39.53 inference(rename_variables,[],[474])).
% 39.68/39.53 cnf(7122,plain,
% 39.68/39.53 (P7(a1,x71221,f12(a1,x71221,x71222))),
% 39.68/39.53 inference(rename_variables,[],[474])).
% 39.68/39.53 cnf(7125,plain,
% 39.68/39.53 (E(f8(a1,x71251,f12(a1,f4(a1),f10(a1))),x71251)),
% 39.68/39.53 inference(rename_variables,[],[486])).
% 39.68/39.53 cnf(7128,plain,
% 39.68/39.53 (~E(f12(a59,x71281,f12(a59,f12(a59,f10(a59),x71282),x71282)),x71281)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(7131,plain,
% 39.68/39.53 (~E(f12(a59,x71311,f12(a59,f12(a59,f10(a59),x71312),x71312)),x71311)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(7134,plain,
% 39.68/39.53 (P7(a1,x71341,f12(a1,x71342,x71341))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(7146,plain,
% 39.68/39.53 (P7(a61,x71461,x71461)),
% 39.68/39.53 inference(rename_variables,[],[434])).
% 39.68/39.53 cnf(7170,plain,
% 39.68/39.53 (~E(f12(a59,x71701,f12(a59,f12(a59,f10(a59),x71702),x71702)),x71701)),
% 39.68/39.53 inference(rename_variables,[],[5931])).
% 39.68/39.53 cnf(7173,plain,
% 39.68/39.53 (~P8(a1,f12(a1,x71731,x71732),x71731)),
% 39.68/39.53 inference(rename_variables,[],[576])).
% 39.68/39.53 cnf(7245,plain,
% 39.68/39.53 (P7(a1,x72451,f12(a1,x72452,x72451))),
% 39.68/39.53 inference(rename_variables,[],[473])).
% 39.68/39.53 cnf(7285,plain,
% 39.68/39.53 (~E(x72851,f12(a59,f36(f36(f9(a59),f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59))),f8(a1,f36(f36(f9(a1),f12(a1,f4(a1),f10(a1))),f12(a1,f8(a59,x72851,f12(a59,f12(a59,f10(a59),f4(a59)),f4(a59))),f10(a1))),f12(a1,f4(a1),f10(a1)))),f4(a59)))),
% 39.68/39.53 inference(rename_variables,[],[4969])).
% 39.68/39.53 cnf(7311,plain,
% 39.68/39.53 ($false),
% 39.68/39.53 inference(scs_inference,[],[283,301,363,551,454,463,501,457,458,288,449,223,278,438,540,435,6896,218,231,249,320,368,415,533,428,6818,497,486,7125,536,6880,512,6702,243,430,274,433,6802,6813,6869,7058,7097,7100,1874,7044,222,226,244,271,390,473,6670,6724,6893,7134,7245,474,6712,6848,7085,7116,7122,475,7106,476,577,563,6639,6646,6662,6686,6717,6790,6807,469,6669,550,481,7010,446,561,558,6831,519,6722,6887,6959,434,6620,6629,6734,6834,6884,6940,7015,7051,7094,7146,237,319,441,6723,6844,6849,6903,7006,7019,575,569,286,356,275,202,350,366,367,371,398,518,360,576,6671,7173,355,494,270,339,340,359,291,578,393,287,311,316,386,432,268,402,401,556,309,207,239,240,310,267,392,406,206,273,555,266,265,365,379,315,238,487,338,263,403,553,451,552,306,337,205,452,5847,6043,3802,4673,5594,5877,5571,2308,5740,6131,6462,6030,5805,6190,6234,5156,5310,4744,5816,6107,6708,6571,6617,5931,6632,6679,6682,6872,6899,6924,7082,7128,7131,7170,6092,6625,5365,6262,5813,6102,4895,4969,7285,6296,6825,3307,6081,5967,5551,6335,6298,6780,5933,4872,5167,5580,6208,6568,3625,4428,4980,5799,6040,6383,5762,4504,6435,6406,6138,5923,6656,4742,6504,5618,5871,6999,6001,3742,5758,2894,6417,6996,5680,5825,6370,6828,6225,5822,5751,5794,6196,5660,6921,6951,6973,6140,6250,6676,6155,6094,5356,4996,6380,5727,6558,6199,3705,3740,5656,4906,3699,2375,6685,2377,4715,5701,6260,6584,5195,5582,5280,5557,6566,6408,5738,6293,5991,5766,6120,4069,2542,7000,5304,5332,4181,2520,5085,2037,3377,2737,2800,2802,2703,1962,4953,2921,3515,3009,3565,3281,3278,2333,4694,3903,5029,3908,5383,3695,3450,2091,2719,2939,1939,6626,2044,2405,3487,6659,2540,2455,3256,2752,2487,2788,2901,5153,2786,1246,1075,1074,1226,1582,1440,1725,887,1669,777,1321,712,1216,1013,911,1699,1192,1142,1452,669,1343,868,1733,1299,1856,1817,1816,1588,1283,1474,1227,1863,1861,945,1578,1019,1732,1327,885,1854,1730,1101,842,855,1731,1709,1242,1399,1793,889,1273,1688,787,1503,1140,1549,883,1054,1555,847,1190,1375,1605,848,997,1436,990,789,1103,836,1090,1608,1818,1307,1738,1632,1151,1809,1377,1301,1398,671,656,1850,1848,1860,1828,1592,1410,1765,1728,849,792,890,1328,1285,1284,1198,1523,1092,884,1544,846,1727,1808,1352,1199,1521,672,797,1830,1650,1414,1221,1294,965,1174,918,1463,1012,736,658,1400,1037,1847,1852,1694,828,693,926,1287,1187,962,1374,1477,684,1123,1609,1062,1339,1186,908,919,986,826,1628,1545,1163,1519,1402,915,1298,1176,1370,1279,1726,971,1000,1139,1431,845,698,873,746,1183,825,1406,1047,839,1405,1386,995,1356,1088,1599,1404,933,998,1401,1665,854,892,180,160,928,675,1107,1857,1819,1862,1853,1851,1827,1351,1150,1288,837,1476,1270,1106,800,863,798,1849,1550,1173,767,1858,1866,1309,788,1274,1280,874,850,1491,1318,653,864,1546,1478,1603,1389,1591,1584,1380,714,1319,966,1159,1157,964,1338,1094,1051,1223,1547,1161,811,929,1379,1479,972,1022,1224,903,1292,1430,1181,1164,1141,1136,1388,904,1601,1390,1424,1365,1387,1099,1098,1286,853,1597,1403,994,130,113,677,1673,694,764,973,817,1729,906,963,1330,888]),
% 39.68/39.53 ['proof']).
% 39.68/39.54 % SZS output end Proof
% 39.68/39.54 % Total time :38.030000s
%------------------------------------------------------------------------------